广义马尔科夫跳变系统的部分模态依赖观测器设计

Partially mode-dependent observer design of singular Markovian jump systems

针对系统状态变量不完全可测以及系统模态不能实时获得的实际情况,研究广义马尔科夫跳变系统的部分模态依赖观测器及相应控制器的设计问题.基于线性矩阵不等式技术,运用模态依赖的李雅普诺夫函数讨论广义马尔科夫系统的正则和无脉冲特性,给出使系统随机稳定的基于观测器的控制器存在的充分条件.最后通过数值算例验证了所提出设计方法的有效性和优越性.

Due to many practical system state variables partially observable and system modes not acquired online, an approach is developed to discuss the design of the partially mode-dependent observer and the controller for singular Markovian jump systems（SMJSs）. Based on the LMI approach, a mode-dependent Lyapunov function is exploited to discuss the regularity and impulse-elimination of SMJSs. Sufficient conditions for the existence of the observer-based controller such that the closed-loop system is stochastically admissible are given in terms of LMIs. Finally, a numerical example is given to illustrate the effectiveness and the superiority of the design methods.