东南大学学报（英文版）2018，Vol.34Issue(4)：466-473,8.DOI:10.3969/j.issn.1003-7985.2018.04.008
具有部分未知转移概率的广义马尔可夫跳变系统的变结构控制
Variable structure control for descriptor Markovian jump systems subject to partially unknown transition probabilities
摘要
Abstract
The descriptor Markovian jump systems ( DMJSs ) with partially unknown transition probabilities ( PUTPs ) are studied by means of variable structure control. First, by virtue of the strictly linear matrix inequality ( LMI ) technique, a sufficient condition is presented, under which the DMJSs subject to PUTPs are stochastically admissible. Secondly, a novel sliding surface function based on the system state and input is constructed for DMJSs subject to PUTPs; and a dynamic sliding mode controller is synthesized, which guarantees that state trajectories will reach the pre-specified sliding surface in finite time despite uncertainties and disturbances. The results indicate that by checking the feasibility of a series of LMIs, the stochastic admissibility of the overall closed loop system is determined. Finally, the validity of the theoretical results is illustrated with the example of the direct-current motor. Furthermore, compared with the existing literature, the state convergence rate, buffeting reduction and overshoot reduction are obviously optimized.关键词
广义马尔可夫跳变系统/变结构控制/部分未知转移概率/随机容许性Key words
descriptor Markovian jump systems ( DMJSs )/variable structure control ( VSC)/partially unknown transition probabilities ( PUTPs)/stochastic admissibility分类
信息技术与安全科学引用本文复制引用
庄会选,孙青林,陈增强..具有部分未知转移概率的广义马尔可夫跳变系统的变结构控制[J].东南大学学报（英文版）,2018,34(4):466-473,8.基金项目
The National Natural Science Foundation of China (No. 61573199). （No. 61573199）
