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Delay-dependent Sufficient Condition (delay-dependent + sufficient_condition)
Selected AbstractsRobust delay-dependent sliding mode control for uncertain time-delay systemsINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 11 2008Yuanqing 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] Design of robust non-fragile H, filters for uncertain neutral stochastic systems with distributed delays,ASIAN JOURNAL OF CONTROL, Issue 1 2010Bo Song Abstract This paper deals with the problem of robust non-fragile H, filtering for neutral stochastic systems with distributed delays and norm-bounded parameter uncertainties. Attention is focused on the design of a filter which is subject to gain variations, such that the filtering error system is robustly stochastically stable with a prescribed H, performance level for all admissible uncertainties. A delay-dependent sufficient condition for the solvability of this problem is obtained in terms of a linear matrix inequality. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source] A New Delay-Dependent Stability Criterion For Neutral Delay-Differential SystemsASIAN JOURNAL OF CONTROL, Issue 3 2003Bin Yang ABSTRACT This paper investigates the problem of asymptotic stability for neutral delay-differential systems. Using the Lyapunov method, we derive a new delay-dependent sufficient condition for the stability of systems in terms of the linear matrix inequality (LMI). Numerical examples show that the results obtained in this paper significantly improve the estimate of stability limit over some existing results reported previously in the literature. [source] LMI Approach to Guaranteed Cost Control for Networked Control SystemsASIA-PACIFIC JOURNAL OF CHEMICAL ENGINEERING, Issue 3-4 2005Shanbin Li This paper addresses the time-varying but bounded delay issue of networked control systems (NCS) within the framework of a discrete-time linear state-delayed system with norm-bounded uncertainty. A delay-dependent sufficient condition for the existence of a guaranteed cost controller for NCS is presented by a new Lyapunov-Krasovskii functional. The condition is formulated as a set linear matrix inequalities (LMIs). The resulting controller can not only asymptotically stabilize the system but also guarantee an adequate level of performance. Theoretical analysis and simulation results show that the control strategy presented in this paper is effective and feasible. [source] Exponential H, filtering for switched linear systems with interval time-varying delayINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 5 2009Dong Wang Abstract This paper deals with the problem of exponential H, filtering for a class of continuous-time switched linear system with interval time-varying delay. The time delay under consideration includes two cases: one is that the time delay is differentiable and bounded with a constant delay-derivative bound, whereas the other is that the time delay is continuous and bounded. Switched linear filters are designed to ensure that the filtering error systems under switching signal with average dwell time are exponentially stable with a prescribed H, noise attenuation level. Based on the free-weighting matrix approach and the average dwell technology, delay-dependent sufficient conditions for the existence of such a filter are derived and formulated in terms of linear matrix inequalities (LMIs). By solving that corresponding LMIs, the desired filter parameterized matrices and the minimal average dwell time are obtained. Finally, two numerical examples are presented to demonstrate the effectiveness of the developed results. Copyright © 2008 John Wiley & Sons, Ltd. [source] Guaranteed cost control of T,S fuzzy systems with input delayINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 12 2008Bing Chen Abstract This paper is concerned with the problem of guaranteed cost control for Takagi,Sugeno (T,S) fuzzy systems with time-varying input delay. The input delay is of interval type, and no restriction is imposed on the derivative of the time delay. Based on free-weighting matrix method, new delay-dependent sufficient conditions for the existence of a fuzzy guaranteed cost controller are provided by means of linear matrix inequalities. Some examples are used to illustrate the effectiveness of the proposed method. Copyright © 2007 John Wiley & Sons, Ltd. [source] Singular linear systems with delay: ,, stabilizationOPTIMAL CONTROL APPLICATIONS AND METHODS, Issue 4 2007E. K. BoukasArticle first published online: 12 MAR 200 Abstract This paper deals with the class of continuous-time singular linear systems with time-delay in the state vector. The stabilization problem of this class of systems using a state feedback controller is tackled. New delay-dependent sufficient conditions on ,, stabilization are developed. A design algorithm for a memoryless state feedback controller which guarantees that the closed-loop dynamics will be regular, impulse-free and stable with ,-disturbance rejection is proposed. It is shown that the addressed problem can be solved if the corresponding developed linear matrix inequalities (LMIs) with some constraints are feasible. A numerical example is employed to show the usefulness of the proposed results. Copyright © 2007 John Wiley & Sons, Ltd. [source] Robust l2,l, state feedback control for uncertain discrete-time switched systems with mode-dependent time-varying delays,ASIAN JOURNAL OF CONTROL, Issue 4 2010Guangdeng Zong Abstract This paper deals with the problem of robust l2,l, state feedback control for uncertain discrete-time switched systems with mode-dependent time-varying delays. Attention is focused on the design of a switched state feedback controller, which guarantees the asymptotical stability of the closed-loop system and reduces the effect of the disturbance input on the controlled output to a prescribed level for all admissible uncertainties. By resorting to a descriptor system approach, delay-dependent sufficient conditions are presented in terms of linear matrix inequalities (LMIs). A numerical example is provided to demonstrate the effectiveness of the proposed algorithms. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source] | ||||||||||