Sliding Sector-Based Variable Structure Control of Continuous-Time Markov Jump Linear Systems Subject to Unknown Transition Rates

• Published in: Mathematical problems in engineering Vol. 2013; no. 2013; pp. 1 - 9
• Main Authors: Xue, Yanmei, Liu, Xiao-Mei, Yang, Jianwei
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2013; John Wiley & Sons, Inc
• Subjects: Boundaries; Continuity (mathematics); Control stability; Design; Design engineering; Engineering; Euclidean space; Linear matrix inequalities; Linear systems; Markov analysis; Markov processes; Mathematical analysis; Matrix methods; Robust control; Sliding; Stability; Theory; Variable structure control; China

Based on sliding sector technique, the variable structure control for a class of uncertain continuous-time Markovian jump linear systems (MJLS) is investigated. The elements in the transition rate matrix include completely known, boundary known, and completely unknown ones. First, the related notion...