Home  About us  Contact
 

Delay-dependent H (delay-dependent + h)

Distribution by Scientific Domains
Engineering100%

Selected Abstracts

NETWORK-INDUCED DELAY-DEPENDENT H, CONTROLLER DESIGN FOR A CLASS OF NETWORKED CONTROL SYSTEMS

ASIAN JOURNAL OF CONTROL, Issue 2 2006
Xiefu Jiang
ABSTRACT This paper is concerned with the problem of robust H, controller design for a class of uncertain networked control systems (NCSs). The network-induced delay is of an interval-like time-varying type integer, which means that both lower and upper bounds for such a kind of delay are available. The parameter uncertainties are assumed to be normbounded and possibly time-varying. Based on Lyapunov-Krasovskii functional approach, a robust H, controller for uncertain NCSs is designed by using a sum inequality which is first introduced and plays an important role in deriving the controller. A delay-dependent condition for the existence of a state feedback controller, which ensures internal asymptotic stability and a prescribed H, performance level of the closed-loop system for all admissible uncertainties, is proposed in terms of a nonlinear matrix inequality which can be solved by a linearization algorithm, and no parameters need to be adjusted. A numerical example about a balancing problem of an inverted pendulum on a cart is given to show the effectiveness of the proposed design method. [source]

Delay-dependent H, control of parameter-varying delayed systems via parameter-dependent Lyapunov function approach,

ASIAN JOURNAL OF CONTROL, Issue 2 2009
Shaosheng Zhou
Abstract The H, control problem of parameter-varying delayed systems is investigated in this paper. The state-space matrices of the systems are assumed to be dependent on a vector of time-varying real parameters which are assumed to be real-time measurable. The delays related to the parameter-varying systems are assumed to be unknown but with known upper bounds and to be in the states and control inputs. A delay-dependent H, performance condition of the system under consideration is derived by using a new parameter-dependent Lyapunov function. Based on the H, performance condition, a linear matrix inequality (LMI) based H, control strategy is proposed by using auxiliary variable technique. The combined parameter-dependent and delay-dependent results are less conservative due to the generality of the parameter-dependent and delay-dependent Lyapunov function used, which includes the parameter-independent one as a special case. It is shown that the underling H, control problem can be solved as LMI optimization problems that can be numerically computed very efficiently. A numerical example is also given to demonstrate the applicability of the proposed approach. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]

A new finite sum inequality approach to delay-dependent H, control of discrete-time systems with time-varying delay

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 6 2008
Xian-Ming Zhang
Abstract This paper deals with delay-dependent H, control for discrete-time systems with time-varying delay. A new finite sum inequality is first established to derive a delay-dependent condition, under which the resulting closed-loop system via a state feedback is asymptotically stable with a prescribed H, noise attenuation level. Then, an iterative algorithm involving convex optimization is proposed to obtain a suboptimal H, controller. Finally, two numerical examples are given to show the effectiveness of the proposed method. Copyright © 2007 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]

Delay-dependent H, control of parameter-varying delayed systems via parameter-dependent Lyapunov function approach,

ASIAN JOURNAL OF CONTROL, Issue 2 2009
Shaosheng Zhou
Abstract The H, control problem of parameter-varying delayed systems is investigated in this paper. The state-space matrices of the systems are assumed to be dependent on a vector of time-varying real parameters which are assumed to be real-time measurable. The delays related to the parameter-varying systems are assumed to be unknown but with known upper bounds and to be in the states and control inputs. A delay-dependent H, performance condition of the system under consideration is derived by using a new parameter-dependent Lyapunov function. Based on the H, performance condition, a linear matrix inequality (LMI) based H, control strategy is proposed by using auxiliary variable technique. The combined parameter-dependent and delay-dependent results are less conservative due to the generality of the parameter-dependent and delay-dependent Lyapunov function used, which includes the parameter-independent one as a special case. It is shown that the underling H, control problem can be solved as LMI optimization problems that can be numerically computed very efficiently. A numerical example is also given to demonstrate the applicability of the proposed approach. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]