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This paper is concerned with the problem of linear state feedback in the presence of controller gain variations for a class of discrete-time Markovian jump linear systems (MJLs) with time delay. The controller gain to be designed is assumed to have additive norm-bounded variations. A sufficient conditions on the existence of a stochastic stabilizing and γ-disturbance attenuation H∞ non-fragile state...
This paper addresses the problem of robust non-fragile H∞ control for a class of generalized discrete system with Markovian jumping parameters. Based on a sufficient condition on robustly stochastically admissibility and several important matrix inequality lemmas, the method for designing non-fragile H∞ controller is derived.
This paper presents a mixed H2/Hinfin, state feedback control and its application to airborne dispenser pitch-axis autopilot design. Linear matrix inequality conditions that depend only on the vertices of polytope are given for existence of a stabilizing gain scheduled state feedback for linear parameter-varying system in convex polytopic domain, and the solution of the controller is given. The proposed...
This paper reviews the problem of H2 output feedback control for polytopic linear parameter-varying systems. Either plant or controller is not restricted to be time-invariant. By employing the definition of Quadratic H2 Performance, sufficient conditions in terms of linear matrix inequalities are presented for the existence of the desired controller for the continuous time linear parameter-varying...
This paper reviews the mixed H2/Hinfin filtering problem for linear time-invariant discrete-time systems with polytopic uncertainty. By introducing some additional free variables, a parameter dependent Lyapunov stability condition other than the quadratic stability condition is obtained in a polytopic domain, and then a much less conservative filter design approach is presented via solving some LMIs...
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