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Robust Impulsive Guaranteed Cost Control of Uncertain Chaotic Lur'e Systems

机译:不确定混沌Lur'e系统的鲁棒脉冲保证成本控制

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This paper concerns impulsive guaranteed cost control problem via state feedback for uncertain chaotic Lur'e systems. The problem we address is the design of a impulsive state feedback control law such that the closed-loop system is not only asymptotically stable but also guarantees an adequate level of performance for all admissible uncertainties. A condition for the existence of the impulsive guaranteed cost control law is presented in terms of linear matrix inequalities (LMIs) and the impulsive guaranteed cost control laws are given by the solutions to these LMIs. The proposed impulsive control scheme is illustrated to uncertain Chua's circuits and the simulation results demonstrate the effectiveness of the method.
机译:本文涉及不确定状态的混沌Lur'e系统通过状态反馈的脉冲保证成本控制问题。我们要解决的问题是设计一种脉冲状态反馈控制律,以使闭环系统不仅渐近稳定,而且对于所有可容许的不确定性都保证了足够的性能。用线性矩阵不等式(LMI)给出了脉冲保证成本控制律存在的条件,并通过这些LMI的解给出了脉冲保证成本控制律。对不确定的蔡氏电路提出了一种脉冲控制方案,仿真结果证明了该方法的有效性。

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