标题：Static Output Feedback Variable Structure Control for Markov Jump Systems
作者：Ci Pengsong; Ma Shuping; Zhang Chenghui
作者机构：[Ci Pengsong; Ma Shuping] Shandong Univ, Sch Math, Jinan 250100, Peoples R China.; [Zhang Chenghui] Shandong Univ, Sch Control Sci & Engn, Jinan 250 更多
会议名称：32nd Chinese Control Conference (CCC)
会议日期：JUL 26-28, 2013
来源：2013 32ND CHINESE CONTROL CONFERENCE (CCC)
关键词：Markov jump system; Variable structure control; Descriptor Markov jump; system; Static output feedback; Linea matrix inequality(LMI)
摘要：In this paper, the static output feedback variable structure control for Markov jump systems is discussed. First, the sliding mode dynamics and the switching surface are treated as a descriptor Markov jump system. Based on stochastic stability theory of descriptor Markov jump systems, a linear matrix inequality (LMI) sufficient condition which guarantees the stochastic stability of the sliding mode dynamics and the existence of the switching surface is given. Then, by using LMI, the design method of a static output feedback variable structure controller is given, which guarantees that the closed-loop system is stochastically stable, and the state trajectories of the closed-loop system are convergent to the switching surface in finite time. Last, a numerical example is given to show the correctness and effectiveness of the proposed method.