This paper presents an LMI based design method for static output feedback controllers with a guaranteed H2 performance. The method can be applied to a class of continuous-time linear systems with either rational or polynomial parameter dependence, provided that the parameters and their rate of variation are bounded by a given polytope. Stability as well as a H2 performance bound are guaranteed ...

In this paper, the robust exponential stability problem of uncertain discrete-time recurrent neural networks with timevarying delay is investigated. By constructing a new augmented Lyapunov-Krasovskii function, some new improved stability criteria are obtained in forms of linear matrix inequality (LMI). Compared with some recent results in literature, the conservatism of the new criteria is red...

In this paper, a more general third-order chaotic system with attraction/repulsion function is introduced on the basis of [Duan et al., 2005]. A gallery of chaotic attractors, bifurcation diagrams and Lyapunov exponent spectra are presented to show the interesting phenomena of the given system. Based on the absolute stability theory and linear matrix inequality (LMI), a simple method of chaos c...

The research is financed by the program for New Century Excellent Talents in University (NCET-06-0811) and the Research Fund for the Doctoral Program of Guizhou College of Finance and Economics (200702). Abstract The problem of bounded-input bounded-output (BIBO) stabilization for discrete-time uncertain system with time delay is investigated. By constructing an augmented Lyapunov function, som...

In this paper, we investigate the problem of non-fragile H∞ fuzzy control design for continuous Takagi Sugeno (T-S) fuzzy systems with uncertainties, external disturbance and unmeasurable state variables. For the case of controller and observer gain additive variations, we propose a new solution of the fragility problem by developing the non-fragile design schemes ensuring the asymptotic stabil...

Abstract: This paper adresses the problem of fault estimation for continuous-time TakagiSugeno (T-S) fuzzy systems with interval time varying delay. The approach is based on a fuzzy Adaptive Fault Diagnostic Observer (AFDO). By considering an appropriate Lyapunov function, less conservative linear-matrix-inequality (LMI) conditions for the existence of the fault estimator are proposed. Furtherm...

This paper concerns the problem of output strictly passive control for uncertain singular neutral systems. It introduces a new effective criterion to study the passivity of singular neutral systems. Compared with the previous approach, this criterion has no equality constraints. And the state feedback controller is designed so that the uncertain singular neutral systems are output strictly pass...

The delay-dependent robust H Filtering for uncertain state delay system is addressed in this paper. The parameter uncertainties are time-varying and unknown but norm-bounded. The present robust filtering methods for time-delay system are nearly all independent of time-delay, which is conservative, and often can’t reflect the characters of system accurately. Therefore, to design the delay-depend...

An equivalent linear matrix inequality LMI representation of bounded real lemma BRL for linear continuous-time systems is introduced. As to LTI system including polytopic-type uncertainties, by using a parameter-dependent Lyapunov function, there are several LMIs-based formulations for the analysis and synthesis of H∞ performance. All of these representations only provide us with different suff...

This paper presents an overview of a linear matrix inequality (LMI) approach to the multiobjective synthesis of linear output-feedback controllers. The design objectives can be a mix of H1 performance, H2 performance, passivity, asymptotic disturbance rejection, time-domain constraints, and constraints on the closed-loop pole location. In addition, these objectives can be specified on different...