Robust dissipative control for discrete-time periodic Markovian jump systems
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摘要: 研究了一类具有不完全转移率的不确定离散周期Markov跳变系统的鲁棒耗散控制问题. 通过构造Lyapunov函数, 利用线性矩阵不等式, 设计周期状态反馈严格耗散控制器, 使闭环系统在转移率部分未知的条件下随机稳定且严格耗散. 最后, 通过数值算例验证了所提出方法的有效性.
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关键词:
- 周期Markov跳变系统 /
- 耗散控制 /
- 不完全转移率 /
- 线性矩阵不等式
Abstract: In this paper, we discuss the robust dissipative control problem of uncertain discrete-time periodic Markovian jump systems with incomplete transition rates. By employing the Lyapunov function, a periodic state feedback controller using linear matrix inequalities is designed, that ensures the resultant closed-loop system with incomplete transition rates is stochastically stable and strictly dissipative. Lastly, an example is given to illustrate the effectiveness of the proposed method. -
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