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In this note, we consider the finite horizon mixed H2/H∞ control problem for discrete-time stochastic linear systems subject to Markov jump parameters and multiplicative noise. Firstly, we derive a stochastic bounded real lemma (SBRL), which is used to establish a necessary and sufficient condition for the existence of the mixed H2/H∞ control via the solvability of four coupled difference matrix-valued...
This paper is devoted to the analysis and solution of the output feedback H∞ control design problem for continuous-time switched linear systems. More specifically, the main goal is to design a switching rule together with a full order dynamic linear controller to satisfy a pre-specified H∞ level defined by the L2 gains from the input to the output signal. The results reported in this paper are based...
This paper addresses robust H∞ fuzzy state feedback control problem for T-S fuzzy systems with time-varying norm-bounded uncertainties. Sufficient conditions are derived in terms of a set of linear matrix inequalities (LMIs). The proposed approach is very simple and more relaxed than other literatures. The effectiveness of the proposed design method is demonstrated by an example for the control of...
In this paper, the delay-dependent non-fragile H∞ control for a class of fuzzy descriptor time-delay systems is investigated. A non-fragile controller via state feedback is proposed, which guarantees the closed-loop system to be regular, impulse free, asymptotically stable and satisfies the H∞-norm constrain. The sufficient conditions for the solvability of this controller design problem are presented...
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