Stability Probability in Sliding Mode Control of Second Order Markovian Jump Systems

摘要：

　　This paper explores the relationship between system stability conditional probability and the sliding mode control for second order continuous Markovian jump systems.By using the stochastic process theory,multi-step state transition conditional probability function is proposed for the continuous time discrete state Markovian process.A sliding mode control scheme is utilized to stabilize the continuous Markovian jump systems.The system stability conditional probability function is derived.It indicates that the system stability conditional probability is a monotonically bounded non-decreasing non-negative piecewise right continuous function of the control parameter.A numerical example is given to show the feasibility of the theoretical results.

关键词： Conditional Probability Markovian Jump System Sliding Mode Control Stochastic Stability

作者: Qing Zhu Xinghuo Yu Aiguo Song Shumin Fei Zhiqiang Cao Yuequan Yang

作者单位: School of Instrument Science and Engineering,Southeast University,Nanjing,210096,China;School of Ele School of Electrical and Computer Engineering,RMIT University,Melbourne,VIC.3001,Australia;School of School of Instrument Science and Engineering,Southeast University,Nanjing,210096,China School of Automation,Southeast University,Nanjing,210096,China Institute of Automation,Chinese Academy of Sciences,Beijing 100190,China College of Information Engineering,Yangzhou University,Yangzhou 225009,China

会议类型: 国际会议

会议名称: 第26届中国控制与决策会议(2014 CCDC)

会议地点: 长沙

会议语种:英文

页码: 2453-2458

在线出版日期: 2014-05-31（万方平台首次上网日期，不代表论文的发表时间）