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This paper deals with the problems of robust stabilization and robust passive control for uncertain discrete Takagi-Sugeno (T-S) fuzzy time-delay systems. The parametric uncertainty is assumed to be norm bounded. Based on Lyapunov stability theory, a sufficient condition on the existence of delay-dependent robust passive controllers is derived firstly. Then, with the help of linear matrix inequality...
This paper is concerned with the problem of robust stabilization for uncertain impulsive bilinear time-delay systems with saturating actuators by using the Lyapunov function and Razumikhin-type techniques. Two classes of impulsive systems are considered: the systems with unstable (unstabilizale) discrete-time dynamics and ones with stable (stabilizable) discrete-time dynamics. Sufficient conditions...
This paper is focused on the problem of delay-dependent robust stability and H∞ control problems for discrete-time switched systems. By constructing a novel switched Lyapunov functional, an improved time-varying stability criterion is obtained in terms of linear matrix inequalities. Based on this, robust stabilization and H∞ control problems are solved for discrete-time switched systems with time-varying...
This paper investigates the robust stabilization and H∞ control for a class of discrete-time Markovian jump linear systems with norm-bounded uncertainties and time-delays both in the system state and in the mode signal. The delay in the system state is time-varying. The delay in the mode signal results in a constant mismatch between the modes of the controller and the corresponding subsystems. Then...
This paper deals with the stabilization problems for a class of discrete-time nonlinear systems. The systems are composed of a linear constant part perturbated by an additive nonlinear function which satisfies a quadratic constraint. A new approach to design a H2 static output feedback controller is developed. It consists on a sufficient condition, formulated as an LMI optimization convex problem...
This paper studies the robust stability and stabilization problems for switched linear discrete-time systems. The parameter uncertainties in the system under consideration are time-varying but norm-bounded, and the time delay is assumed to be time-varying and bounded, which covers the constant and mode-dependent constant delays as special cases. First, sufficient conditions are derived to guarantee...
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