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

被引：0

作者：

Zhu, Qing ^{[1
]}

Yu, Xinghuo

Song, Aiguo ^{[1
]}

Fei, Shumin

Cao, Zhiqiang

Yang, Yuequan

机构：

[1] Southeast Univ, Sch Instrument Sci & Engn, Nanjing 210096, Jiangsu, Peoples R China

来源：

26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC) | 2014年

关键词：

Conditional Probability; Markovian Jump System; Sliding Mode Control; Stochastic Stability; DESIGN; DELAYS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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.

引用

页码：2453 / 2458

页数：6

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