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The Hinfin control problem is studied in this paper for networked control systems (NCSs) with short time-varying delays. By considering state feedback controllers, the closed-loop NCS is described as a discrete-time linear uncertain system model, and the uncertain part reflects the effect of the variation nature of the network-induced delays on the system dynamics. Then, a sufficient condition is...
In this paper, we maximize the allowable delay bounds that guarantee the stability of Takagi-Sugeno (T-S) fuzzy systems with time-varying delays, by adopting fuzzy weighting-dependent variables for the system dynamics elimination and the integral inequality lemma. The resulting quadratic Parameterized Linear Matrix Inequalities (PLMIs) are further relaxed by introducing some free variables to exploit...
In this paper we study the consensus conditions for multi-agent systems under continuous time-varying network. The dynamics of agents is described by a double-integrator. For such multi-agent systems the connectivity of network is neither sufficient, nor necessary condition. Even if the integral connectivity condition given by [11], [12] is not sufficient condition of its consensus anymore. Under...
We propose a globally convergent observer for three-state nonlinear systems verifying the uniform complete observability condition. By constructing a time-varying differentiator, we are then able to reproduce the first and the second derivatives of the system output without imposing the boundedness of the states or the output. By exploiting the algebraic observability of the system, we show that the...
This paper is concerned with robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and the derivative of the time-varying delay is upper bounded but otherwise arbitrary. The uncertainties under consideration include polytopic-type uncertainty and linear fractional norm-bounded uncertainty. In order to obtain much less...
In this paper we consider the problem of delay-dependent exponential stability of linear continuous-time systems with time-varying delays in the presence of impulsive perturbations. We combine the Lyapunov function and Razumikhin-type techniques together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for exponential stability of linear systems...
Hinfin filter design for systems with time-varying interval delay is investigated in this paper. Improved delay dependent Hinfin performance condition is presented by using the free-weighting matrix approach and considering the relationship among the time-varying delay, its upper bound and their difference. As a result, a modified cone complementary linearisation (CCL) algorithm with a new stopping...
In this paper, we deal with the problem of delay-range-dependent robust Hinfin filtering for uncertain linear systems with time-varying delays in a range, which are subject to norm-bounded parameter uncertainties. Both the state dynamics and measurement of the system are with time-varying delays belonging to a given range. The aim of this problem is to design a full-order linear filter, such that...
This paper discusses robust stability and stabilization of uncertain discrete-time fuzzy systems that have time-varying delay in state. There have been only a few results on stability and stabilization for discrete-time fuzzy time-delay systems. Especially, few results on robust stability and stabilization for a class of uncertain discrete-time fuzzy time-delay systems have appeared in the literature...
This paper is concerned with designing a fuzzy dynamic feedback controller for Takagi-Sugeno (T-S) model nonlinear stochastic systems with time delay. The slack matrix method is utilized to derive a delay-dependent sufficient condition that warrants the mean-square asymptotic stability with an Lscr2-Lscrinfin performance for the resulting closed-loop system. Moreover, the solvability condition for...
In this paper, the problems of passivity analysis and passive control of continuous-time Takagi-Sugeno (T-S) fuzzy time-varying delayed systems are studied. The analysis is based on the concept of very-strict passivity which is shown to be restrictive than the usual passivity. Novel techniques are applied to derive delay-dependent conditions for the solvability of the problem of designing a state-feedback...
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