基于不完全转移率的连续Markov 跳变奇异系统的H∞ 控制

研究一类不完全转移率信息的Markov跳变奇异系统的H∞控制问题,提出连续Markov跳变奇异系统的新型有界实引理,并将其推广到不完全转移率条件.进一步设计H∞状态反馈控制器,使得闭环系统在转移率部分未知的条件下随机可容许,且满足H∞性能H.所得结论涵盖了奇异矩阵模态依赖情形,且表示为严格线性矩阵不等式形式,利于工程实现.最后,通过仿真算例表明了所提出方法的有效性和优越性.

H∞ control of continuous-time Markov jump singular systems subject to incomplete transition rates

The H_∞ control problem of Markov jump singular systems with incomplete transition rates is discussed. A new bounded real lemma for continuous time Markov jump singular systems is derived and then expanded to systems with partial transition rates. Moreover, an H_∞ controller is designed to make sure that the closed-loop systems are admissible and satisfy H_∞ criteria. The given method also covers the systems with the mode-dependent singular matrix and the controller is designed in terms of a set of strict linear matrix inequalities. Finally, a simulation example is given to illustrate the effectiveness and advantages of the proposed method.