摘要
研究了一类转移速率部分未知的广义时滞Markov跳变系统的H_(∞)滑模控制问题.首先,对广义时滞Markov跳变系统设计了积分型滑模面,并求出对应的等效控制器.之后,构建Lyapunov泛函,通过线性矩阵不等式方法得到闭环系统随机容许且满足H_(∞)性能γ的充分条件,运用加减项方法以及引入自由权矩阵,使得到的结果降低了保守性;对滑模力学分析,设计了滑模控制器,使得系统能在有限时间内到达滑模面上.最后,通过数值算例与仿真验证了理论的可行性.
The sliding mode control problem for a class of generalized time-delay Markov jump systems with partially unknown transition rates is studied.Firstly,an integral sliding mode surface is designed for the generalized time-delay Markov jump system,and the corresponding equivalent controller is obtained.Then,a Lyapunov functional is constructed,and the sufficient conditions for the stochastic admissibly and satisfying H_(∞)criteriaγperformance of the closed-loop system are obtained using linear matrix inequality method.The addition and subtraction term method and the free weight matrix are used to reduce the conservatism of the obtained results.Based on the analysis of sliding mode dynamics,a sliding mode controller is designed so that the system can reach the sliding mode surface in finite time.Finally,the feasibility of the theory is verified by numerical examples and simulations.
作者
杨冬梅
杜玲秀
祝春霞
YANG Dong-mei;DU Ling-xiu;ZHU Chun-xia(School of Sciences,Northeastern University,Shenyang 110819,China)
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2024年第2期153-159,共7页
Journal of Northeastern University(Natural Science)
