一类不确定随机切换系统的镇定性和H性能研究

Stabilization and H Performance Research on a Class of Uncertain Stochastic Switched Systems

  • 摘要: 针对一类不确定随机切换系统,利用随机李亚普诺夫稳定性理论和伊藤微分法则,研究了该系统在一定切换条件下鲁棒镇定和鲁棒H控制器存在的充分条件.使用状态反馈技术所设计的无记忆控制器能在所有容许不确定下保证闭环系统渐近稳定.文中的研究结果以线性矩阵不等式的形式给出,算例和仿真表明文中控制器设计方法的正确性和有效性.

     

    Abstract: Sufficient conditions of the robust stabilization and the existence of robust Hcontroller under certain switching conditions are proposed for a class of uncertain stochastic switched systems by means of stochastic Lyapunov stability theory and It ô differential rule.A memoryless controller is designed by state feedback technique under all admissible uncertain conditions,which guarantees the asymptotic stability of the close-loop systems.All results in this paper are expressed in terms of linear matrix inequality,and numerical example and simulation are presented to illustrate the correctness and effectiveness of the proposed method.

     

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