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Time-delay Systems (time-delay + system)

Distribution by Scientific Domains
Engineering95%

Kinds of Time-delay Systems

  • discrete singular time-delay system
  • linear time-delay system
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  • singular time-delay system
  • uncertain time-delay system
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    Selected Abstracts

    ABSOLUTE STABILITY AND APPLICATION TO DESIGN OF OBSERVER-BASED CONTROLLER FOR NONLINEAR TIME-DELAY SYSTEMS

    ASIAN JOURNAL OF CONTROL, Issue 3 2007
    Bassem Ben Hamed
    ABSTRACT In this paper we present a new sufficient condition for absolute stability of delay Lure system. This condition improves the one given in [1]. We use this new criterion to construct an observer-based control for a class of nonlinear time-delay systems. Some examples are given to illustrate the results of this paper. [source]

    IMPROVED CONDITIONS FOR DELAY-DEPENDENT ROBUST STABILITY AND STABILIZATION OF UNCERTAIN DISCRETE TIME-DELAY SYSTEMS

    ASIAN JOURNAL OF CONTROL, Issue 3 2005
    Shengyuan Xu
    ABSTRACT This paper provides improved delay-dependent conditions for the robust stability and robust stabilization of discrete time-delay systems with norm-bounded parameter uncertainties. It is theoretically established that the proposed conditions are less conservative than those discussed in the literature. The new approach proposed in this paper in a derivation of delay-dependent conditions and involves the use of neither model transformation nor bounding techniques for some cross terms. A numerical example is provided to demonstrate the reduced conservatism of the proposed conditions. [source]

    LMI APPROACH TO ROBUST FILTERING FOR DISCRETE TIME-DELAY SYSTEMS WITH NONLINEAR DISTURBANCES

    ASIAN JOURNAL OF CONTROL, Issue 2 2005
    Huijun Gao
    ABSTRACT This paper investigates the problem of robust filtering for a class of uncertain nonlinear discrete-time systems with multiple state delays. It is assumed that the parameter uncertainties appearing in all the system matrices reside in a polytope, and that the nonlinearities entering into both the state and measurement equations satisfy global Lipschitz conditions. Attention is focused on the design of robust full-order and reduced-order filters guaranteeing a prescribed noise attenuation level in an H, or l2 - l, sense with respect to all energy-bounded noise disturbances for all admissible uncertainties and time delays. Both delay-dependent and independent approaches are developed by using linear matrix inequality (LMI) techniques, which are applicable to systems either with or without a priori information on the size of delays. [source]

    A NEW DESIGN APPROACH TO DELAY-DEPENDENT ROBUST H, CONTROL FOR UNCERTAIN TIME-DELAY SYSTEMS

    ASIAN JOURNAL OF CONTROL, Issue 4 2004
    Ning-Jun Su
    ABSTRACT A new design approach to delay-dependent robust stabilization and robust H, control for a class of uncertain time-delay systems is provided in this paper. The sufficient conditions for delay-dependent robust stabilization and robust H, control are derived based on a new state transformation and given in terms of linear matrix inequalities (LMI). Numerical examples are presented to show that the proposed results can be less conservative and can be used to deal with not only small but also large delay systems. [source]

    Delay-range-dependent robust stability and stabilization for uncertain systems with time-varying delay

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 13 2008
    Tao Li
    Abstract This paper concerns delay-range-dependent robust stability and stabilization for time-delay system with linear fractional form uncertainty. The time delay is assumed to be a time-varying continuous function belonging to a given range. On the basis of a novel Lyapunov,Krasovskii functional, which includes the information of the range, delay-range-dependent stability criteria are established in terms of linear matrix inequality. It is shown that the new criteria can provide less conservative results than some existing ones. Moreover, the stability criteria are also used to design the stabilizing state-feedback controllers. Numerical examples are given to demonstrate the applicability of the proposed approach. Copyright © 2007 John Wiley & Sons, Ltd. [source]

    Strong stability radii of positive linear time-delay systems

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 10 2005
    Pham Huu Anh NgocArticle first published online: 18 MAY 200
    Abstract In this paper, we study robustness of the strong delay-independent stability of linear time-delay systems under multi-perturbation and affine perturbation of coefficient matrices via the concept of strong delay - independent stability radius (shortly, strong stability radius). We prove that for class of positive time-delay systems, complex and real strong stability radii of positive linear time-delay systems under multi-perturbations (or affine perturbations) coincide and they are computed via simple formulae. Apart from that, we derive solution of a global optimization problem associated with the problem of computing of the strong stability radii of a positive linear time-delay system. An example is given to illustrate the obtained results. Copyright © 2005 John Wiley & Sons, Ltd. [source]

    Delay-dependent anti-windup strategy for linear systems with saturating inputs and delayed outputs

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 7 2004
    S. Tarbouriech
    Abstract This paper addresses the problem of the determination of stability regions for linear systems with delayed outputs and subject to input saturation, through anti-windup strategies. A method for synthesizing anti-windup gains aiming at maximizing a region of admissible states, for which the closed-loop asymptotic stability and the given controlled output constraints are respected, is proposed. Based on the modelling of the closed-loop system resulting from the controller plus the anti-windup loop as a linear time-delay system with a dead-zone nonlinearity, constructive delay-dependent stability conditions are formulated by using both quadratic and Lure Lyapunov,Krasovskii functionals. Numerical procedures based on the solution of some convex optimization problems with LMI constraints are proposed for computing the anti-windup gain that leads to the maximization of an associated stability region. The effectiveness of the proposed technique is illustrated by some numerical examples. Copyright © 2004 John Wiley & Sons, Ltd. [source]

    Sampled-data H, control for networked systems with random packet dropouts,

    ASIAN JOURNAL OF CONTROL, Issue 4 2010
    Xiaosheng Fang
    Abstract This paper is concerned with the H, control problem for networked control systems (NCSs) with random packet dropouts. The NCS is modeled as a sampled-data system which involves a continuous plant, a digital controller, an event-driven holder and network channels. In this model, two types of packet dropouts in the sensor-to-controller (S/C) side and controller-to-actuator (C/A) side are both considered, and are described by two mutually independent stochastic variables satisfying the Bernoulli binary distribution. By applying an input/output delay approach, the sampled-data NCS is transformed into a continuous time-delay system with stochastic parameters. An observer-based control scheme is designed such that the closed-loop NCS is stochastically exponentially mean-square stable and the prescribed H, disturbance attenuation level is also achieved. The controller design problem is transformed into a feasibility problem for a set of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed design method. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]

    Robust stabilization for uncertain discrete singular time-delay systems,

    ASIAN JOURNAL OF CONTROL, Issue 2 2010
    Xiaofu Ji
    Abstract The problem of robust stabilization for uncertain discrete singular time-delay systems is investigated. The considered systems are subject to norm-bounded parameter uncertainties and constant time delay. A linear matrix inequality (LMI) condition is proposed for a discrete singular time-delay system to be regular, causal and stable. With this condition, the problems of robust stability and stabilization are solved. The obtained results are formulated in terms of strict LMIs. An explicit expression of the desired state-feedback control law is also given, which involves no matrix decomposition. The proposed synthesis method is illustrated by a numerical example. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]

    Tracking control for switched linear systems with time-delay: a state-dependent switching method,

    ASIAN JOURNAL OF CONTROL, Issue 5 2009
    Qing-Kui Li
    Abstract Tracking control for switched linear systems with time-delay is investigated in this paper. Based on the state-dependent switching method, sufficient conditions for the solvability of the tracking control problem are given. We use single Lyapunov function technique and a typical hysteresis switching law to design a tracking control law such that the H, model reference tracking performance is satisfied. The controller design problem can be solved efficiently by using linear matrices inequalities. Since convex combination techniques are used to derive the delay independent criteria, some subsystems are allowed to be unstable. It is highly desirable that a non-switched time-delay system can not earn such property. Simulation example shows the feasibility and validity of the switching control law. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]

    Stability and H, performance of multiple-delay systems with successive delay components

    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, Issue 8 2010
    Ge Guo
    Abstract This paper presents a new model for linear time-delay systems with multiple delayed states where each delay contains finite number of successive components with different time-varying properties, referred to as multiple-delay system with successive time-varying delay components (MDSSTDCs). General stability result and H, performance conditions, under which the MDSSTDCs are asymptotically stable with certain H, disturbance attenuation level, are derived by exploiting a general Lyapunov,Krasovskii functional and by making use of novel techniques for time-delay systems. The result is applied to two special types of time-delay systems frequently used in engineering applications and corresponding conditions for stability and H, performance are obtained. Copyright © 2010 John Wiley & Sons, Ltd. [source]

    Design of adaptive variable structure controllers for T,S fuzzy time-delay systems

    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, Issue 2 2010
    Tai-Zu Wu
    Abstract In this paper, the adaptive variable structure control problem is presented for Takagi,Sugeno (T,S) fuzzy time-delay systems with uncertainties and external disturbances. The fuzzy sliding surfaces for the T,S fuzzy time-delay system are proposed by using a Lyapunov function, and we design the adaptive variable structure controllers such that the global T,S fuzzy time-delay system confined on the fuzzy sliding surfaces is asymptotically stable. One example is given to illustrate the effectiveness of our proposed methods. Copyright © 2009 John Wiley & Sons, Ltd. [source]

    Delay-dependent stability and stabilization of neutral time-delay systems

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 12 2009
    Jian Sun
    Abstract This paper is concerned with the problem of stability and stabilization of neutral time-delay systems. A new delay-dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free-weighting matrices. On the basis of the obtained stability condition, a stabilizing method is also proposed. Using an iterative algorithm, the state feedback controller can be obtained. Numerical examples illustrate that the proposed methods are effective and lead to less conservative results. Copyright © 2008 John Wiley & Sons, Ltd. [source]

    Network-based H, control for stochastic systems

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 3 2009
    Xiangyu Meng
    Abstract This paper investigates the problem of network-based control for stochastic plants. A new model of stochastic time-delay systems is presented where both network-induced delays and packet dropouts are taken into consideration for a sampled-data network-based control system. This model consists of two successive delay components in the state, and we solve the network-based H, control problem based on this model by a new stochastic delay system approach. The controller design for the sampled-data systems is carried out in terms of linear matrix inequalities. Finally, we illustrate the methodology by applying these results to an air vehicle control problem. Copyright © 2008 John Wiley & Sons, Ltd. [source]

    Robust stabilization for uncertain discrete singular systems with state delay

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 16 2008
    Zhengguang Wu
    Abstract The robust stabilization problem for uncertain discrete singular time-delay systems is addressed in this paper. In terms of strict linear matrix inequality and a finite sum inequality, a delay-dependent criterion for the nominal systems to be admissible is obtained. Based on the criterion, a state feedback controller, which guarantees that, for all admissible uncertainties, the resulting closed-loop system is regular, causal and stable, is constructed. An explicit expression for the desired controller is also given. The obtained results include both delay-independent and delay-dependent cases. Some numerical examples are introduced to show the effectiveness of the given results. Copyright © 2008 John Wiley & Sons, Ltd. [source]

    Delay-dependent robust stability for stochastic time-delay systems with polytopic uncertainties

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 15 2008
    Hongyi Li
    Abstract This paper considers a delay-dependent and parameter-dependent robust stability criterion for stochastic time-delay systems with polytopic uncertainties. The delay-dependent robust stability criterion, as expressed in terms of linear matrix inequalities (LMIs), is obtained by using parameter-dependent Lyapunov functions. It is shown that the result derived by a parameter-dependent Lyapunov functional is less conservative. Numerical examples are provided to illustrate the effectiveness of the proposed method. Copyright © 2008 John Wiley & Sons, Ltd. [source]

    Robust delay-dependent sliding mode control for uncertain time-delay systems

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 11 2008
    Yuanqing Xia
    Abstract In this paper, the problem of robust sliding mode control for a class of linear continuous time-delay systems is studied. The parametric uncertainty considered is a modelling error type of mismatch appearing in the state. A delay-dependent sufficient condition for the existence of linear sliding surfaces is developed in terms of linear matrix inequality, based on which the corresponding reaching motion controller is designed. A numerical example is given to show the potential of the proposed techniques. Copyright © 2007 John Wiley & Sons, Ltd. [source]

    Global stabilization of uncertain stochastic nonlinear time-delay systems by output feedback

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 9 2008
    Peng Cui
    Abstract Constructive control techniques have been proposed for controlling strict feedback (lower triangular form) stochastic nonlinear systems with a time-varying time delay in the state. The uncertain nonlinearities are assumed to be bounded by polynomial functions of the outputs multiplied by unmeasured states or delayed states. The delay-independent output feedback controller making the closed-loop system globally asymptotically stable is explicitly constructed by using a linear dynamic high-gain observer in combination with a linear dynamic high-gain controller. A simulation example is given to demonstrate the effectiveness of the proposed design procedure. Copyright © 2007 John Wiley & Sons, Ltd. [source]

    Strong stability radii of positive linear time-delay systems

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 10 2005
    Pham Huu Anh NgocArticle first published online: 18 MAY 200
    Abstract In this paper, we study robustness of the strong delay-independent stability of linear time-delay systems under multi-perturbation and affine perturbation of coefficient matrices via the concept of strong delay - independent stability radius (shortly, strong stability radius). We prove that for class of positive time-delay systems, complex and real strong stability radii of positive linear time-delay systems under multi-perturbations (or affine perturbations) coincide and they are computed via simple formulae. Apart from that, we derive solution of a global optimization problem associated with the problem of computing of the strong stability radii of a positive linear time-delay system. An example is given to illustrate the obtained results. Copyright © 2005 John Wiley & Sons, Ltd. [source]

    Integral sliding mode design for robust filtering and control of linear stochastic time-delay systems

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 9 2005
    Michael Basin
    Abstract This paper presents an integral sliding mode technique robustifying the optimal controller for linear stochastic systems with input and observation delays, which is based on integral sliding mode compen-sation of disturbances. The general principles of the integral sliding mode compensator design are modified to yield the basic control algorithm oriented to time-delay systems, which is then applied to robustify the optimal controller. As a result, two integral sliding mode control compensators are designed to suppress disturbances in state and observation equations, respectively, from the initial time moment. Moreover, it is shown that if certain matching conditions hold, the designed compensator in the state equation can simultaneously suppress observation disturbances, as well as the designed compensator in the observation equation can simultaneously suppress state disturbances. The obtained robust control algorithm is verified by simulations in the illustrative example, where the compensator in the observation equation provides simultaneous suppression of state and observation disturbances. Copyright © 2005 John Wiley & Sons, Ltd. [source]

    Reliable memory feedback design for a class of non-linear time-delay systems

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 1 2004
    Dong Yue
    Abstract This paper is concerned with the robust controller design of uncertain time-delay systems with unknown nonlinearity and actuators failures. New methods for designing stabilizing controllers and reliable controllers are proposed. The stability criteria of the closed-loop system, which are dependent on the magnitudes of the delay and its derivative, are derived in the form of linear matrix inequalities. Numerical and simulation results are provided to demonstrate the effectiveness of the proposed results, as well as the reduction of conservativeness when compared with existing ones. Copyright © 2004 John Wiley & Sons, Ltd. [source]

    New results for the analysis of linear systems with time-invariant delays

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 12 2003
    Jianrong Zhang
    Abstract This paper presents a comparison system approach for the analysis of stability and ,, performance of linear time-invariant systems with unknown delays. The comparison system is developed by replacing the delay elements with certain parameter-dependent Padé approximations. It is shown using the special properties of the Padé approximation to e,s that the value sets of these approximations provide outer and inner coverings for that of each delay element and that the robust stability of the outer covering system is a sufficient condition for the stability of the original time delay system. The inner covering system, in turn, is used to provide an upper bound on the degree of conservatism of the delay margin established by the sufficient condition. This upper bound is dependent only upon the Padé approximation order and may be made arbitrarily small. In the single delay case, the delay margin can be calculated explicitly without incurring any additional conservatism. In the general case, this condition can be reduced with some (typically small) conservatism to finite-dimensional LMIs. Finally, this approach is also extended to the analysis of ,, performance for linear time-delay systems with an exogenous disturbance. Copyright © 2003 John Wiley & Sons, Ltd. [source]

    Sliding mode control design for uncertain time-delay systems subjected to a class of nonlinear inputs

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 6 2003
    Jun-Juh Yan
    Abstract A sliding mode controller is developed for uncertain time-delay systems with a class of nonlinear inputs. Two main results are derived in this paper. The first result is the presentation of a new delay-dependent stability condition of uncertain time-delay systems. In a comparison example, this stability condition is shown to be less conservative than the ones reported recently. The second result is to present a new sliding mode control for uncertain time-delay systems subjected to a class of nonlinear inputs. The stability of time-delay systems with unmatching condition in the sliding mode is also discussed. Two illustrative examples are included to demonstrate the superiority of the obtained results. Copyright © 2003 John Wiley & Sons, Ltd. [source]

    Rejection of persistent-bounded disturbances in linear time-delay systems by output-feedback

    OPTIMAL CONTROL APPLICATIONS AND METHODS, Issue 4 2010
    Magdi S. Mahmoud
    Abstract In this paper, the problem of persistent-bounded disturbance rejection of linear continuous-time systems with time-varying delays is investigated using the tools of invariant set analysis and Lyapunov-function methodology. We derive less conservative sufficient conditions on robust attractor for time-delay systems in terms of strict linear matrix inequalities (LMIs) to guarantee the desired ,1 -performance. A robust output-feedback controller is designed and the associated gain is determined using strict LMIs. The developed results are tested on two representative time-delay examples. Copyright © 2009 John Wiley & Sons, Ltd. [source]

    Delay-dependent robust H2/H, control for time-delay systems with polytopic uncertainty,

    ASIAN JOURNAL OF CONTROL, Issue 5 2010
    Man Sun
    Abstract In this paper, new separated delay-dependent H, and H2 performance criteria are derived for a class of time-delay systems. Then they are extended to design a multiobjective robust H2/H, controller for polytopic uncertain systems with time delay. All the conditions are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the proposed method. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]

    Robust stabilization for uncertain discrete singular time-delay systems,

    ASIAN JOURNAL OF CONTROL, Issue 2 2010
    Xiaofu Ji
    Abstract The problem of robust stabilization for uncertain discrete singular time-delay systems is investigated. The considered systems are subject to norm-bounded parameter uncertainties and constant time delay. A linear matrix inequality (LMI) condition is proposed for a discrete singular time-delay system to be regular, causal and stable. With this condition, the problems of robust stability and stabilization are solved. The obtained results are formulated in terms of strict LMIs. An explicit expression of the desired state-feedback control law is also given, which involves no matrix decomposition. The proposed synthesis method is illustrated by a numerical example. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]

    Improved exponential estimates for neutral systems

    ASIAN JOURNAL OF CONTROL, Issue 3 2009
    Zhan Shu
    Abstract Improved exponential estimates and a new sufficient condition for the exponential stability of neutral type time-delay systems are established in terms of linear matrix inequalities (LMIs). A new Lyapunov-Krasovskii functional candidate with appropriately constructed exponential terms is introduced to prove the exponential stability and to reduce the conservatism. For the uncertain case, a corresponding condition for the robust exponential stability is also given. It is shown by numerical examples that the proposed conditions are less conservative than existing results. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]

    Robust H2/H, control for time-delay systems with polytopic uncertainty,

    ASIAN JOURNAL OF CONTROL, Issue 1 2009
    Man Sun
    Abstract In this paper, new separated H, and H2 performance criteria are derived for a class of time-delay systems. When used in robust performance analysis and synthesis for real polytopic uncertainty and in multiobjective controller synthesis, they can partially rule out the technical restriction of using a single Lyapunov function, and therefore, lead to potentially less conservative linear matrix inequality (LMI) characterizations. Based on the criteria, robust multiobjective H2/H, controller is designed for time-delay systems with polytopic uncertainty. All the conditions are given in terms of LMIs. Numerical examples are given to illustrate the proposed method. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]

    ABSOLUTE STABILITY AND APPLICATION TO DESIGN OF OBSERVER-BASED CONTROLLER FOR NONLINEAR TIME-DELAY SYSTEMS

    ASIAN JOURNAL OF CONTROL, Issue 3 2007
    Bassem Ben Hamed
    ABSTRACT In this paper we present a new sufficient condition for absolute stability of delay Lure system. This condition improves the one given in [1]. We use this new criterion to construct an observer-based control for a class of nonlinear time-delay systems. Some examples are given to illustrate the results of this paper. [source]

    STOCHASTIC STABILIZATION AND H, CONTROL FOR DISCRETE JUMPING SYSTEMS WITH TIME DELAYS

    ASIAN JOURNAL OF CONTROL, Issue 3 2005
    Jing Wu
    ABSTRACT In this paper, robust stochastic stabilization and H, control for a class of uncertain discrete-time linear systems with Markovian jumping parameters are considered. Based on a new bounded real lemma derived upon an inequality recently proposed, a new iterative state-feedback controller design procedure for discrete time-delay systems is presented. Sufficient conditions for stochastic stabilization are derived in the form of linear matrix inequalities (LMIs) based on an equivalent model transformation, and the corresponding H, control law is given. Finally, numerical examples are given to illustrate the solvability of the problems and effectiveness of the results. [source]