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Robust H∞ control for a class of quasi‐linear uncertain stochastic time‐varying delayed systems
Authors:Tianliang Zhang  Pengxiang Sun  Feiqi Deng  Weihai Zhang
Abstract:This paper studies the H control for a class of quasi‐linear uncertain stochastic time‐varying delayed systems. Firstly, by using the linear matrix inequality (LMI) method, a sufficient condition is obtained for the robustly stochastic stability. Secondly, the robust H state feedback controller is designed, such that the considered system is not only internally stochastically stabilizable but also satisfies the robust H performance. The desired robust H controller is obtained via solving some LMIs. Finally, one example is provided to demonstrate the effectiveness of the proposed method.
Keywords:H∞  control  nonlinearity  robust stability and stabilizability  time‐varying delays  uncertainty
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