Stabilization of discrete-time Markovian jump linear systems via time-delayed controllers
Stabilization of discrete-time Markovian jump linear systems via time-delayed controllers
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DOI：
10.1016/j.automatica.2005.12.015
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发表时间：
2006-05
期刊：
影响因子：
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通讯作者：
J. Xiong;J. Lam
中科院分区：
文献类型：
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作者：
J. Xiong;J. Lam
研究了一类状态和模态信号均具有时滞的离散马尔可夫跳变线性系统的镇定问题。系统状态的延迟可以是时变的。模式信号中的延迟表现为控制器和系统之间的模式的恒定失配。我们首先证明了所得到的闭环系统是一个具有扩展状态空间的时变时滞马尔可夫跳变线性系统。然后给出了控制器设计的充分条件，使得闭环系统是随机稳定的。最后，数值模拟来说明所发展的理论。
This paper is concerned with the stabilization problem for a class of discrete-time Markovian jump linear systems with time-delays both in the system state and in the mode signal. The delay in the system state may be time-varying. The delay in the mode signal is manifested as a constant mismatch of the modes between the controller and the system. We first show that the resulting closed-loop system is a time-varying delayed Markovian jump linear system with extended state space. Then a sufficient condition is proposed for the design of a controller such that the closed-loop system is stochastically stable. Finally, numerical simulation is used to illustrate the developed theory.