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This paper presents the H2 model reduction problem for discrete-time switched systems using average dwell-time approach. First, by constructing multiple Lyapunov functions, the exponential stability criterion of switched systems under average dwell-time taualpha is established. Then, a reduced-order model for the underlying system is constructed, which guarantees these two models are close in H2 norm...
This paper presents an Hinfin state feedback controller design method for discrete-time piecewise affine (PWA) systems based on a piecewise quadratic Lyapunov function, and the partition information of the PWA systems is taken into account to reduce the design conservatism. Each polytopic operating region is outer approximated by a union of ellipsoids, then the minimum problem of the Hinfin performance...
The problem of the non-fragile dissipative control for the nonlinear discrete systems is dealt with. The T-S models is constructed for nonlinear systems, which makes the model approach to the original system more exact. The sufficient conditions for the existence of a dynamic output feedback fuzzy controller such that, for all admissible multiplicative controller gain variations, the closed-loop system...
This paper presents a fuzzy state tracking control scheme for chaotic synchronized secure communication based on the T-S fuzzy model of chaos. The conditions for dealing with the stability of the overall synchronization error system are proved by utilizing Lyapunov stability theory, and formulated into linear matrix inequalities (LMIs) afterwards. The structure of the controller is simply linear without...
Robust Hinfin control for uncertain discrete time-delay systems with disturbances and nonlinear perturbations is studied. The delay is time varying. The uncertainties are norm bounded, and the nonlinear perturbations meet linear constraints. Based on Lyapunov-Krasovskii functional, two new delay-dependent results are presented in terms of matrix inequalities technique and nonlinear dealing method...
For a class of discrete-time switched systems with disturbances the problems of robust stability and disturbance attenuation under arbitrary switching are studied for this class of systems. The sufficient conditions for the systems to be robustly stable with Hinfin disturbance attenuation gamma are presented by using the multiple Lyapunov function technique and common Lyapunov function technique ...
This study introduces a H2 guaranteed cost control method for the discrete time fuzzy systems with norm-bounded uncertainties based on the piecewise Lyapunov functions. Sufficient conditions for the H2 guaranteed cost controllers are given in terms of linear matrix inequalities (LMIs). Further more, a convex optimization problem with LMI constraints is formulated to design the optimal H2 guaranteed...
The problems of robust stability and L2-gain analysis and synthesis for a class of uncertain discrete-time switched systems with time-delay are addressed. Based on the constructive use of an appropriate switched Lyapunov function, switched systems with convex-bounded parameter uncertainties in all system matrices are investigated to make the linear switched systems are uniform quadratic stability...
This paper addresses the stabilization of nonlinear systems represented by a discrete-time Takagi-Sugeno (T-S) model. Based on the extended nonquadratic Lyapunov function and the non-parallel distributed compensation law, the improvement over the existing results is achieved via introducing new slack matrices, new collection matrices and the higher dimensional collection matrix. We note that T-S model...
Based on the robust invariant set, Hinfin controller designing problem for uncertain discrete time-delay system with disturbance and input constraint is considered in this paper. At first, a state feedback controller was designed, when the disturbance belongs to a convex polytope, a control invariant set was derived based on the revised Lyapunov Krasovskii function, and inside this control invariant...
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