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Observer‐based mode‐independent integral sliding mode controller design for phase‐type semi‐Markov jump singular systems
Author(s) -
Li Yanbo,
Kao Binghua,
Park Ju H.,
Kao Yonggui,
Meng Bo
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4679
Subject(s) - control theory (sociology) , observer (physics) , mode (computer interface) , controller (irrigation) , state observer , jump , markov chain , mathematics , sliding mode control , markov process , computer science , control (management) , artificial intelligence , nonlinear system , physics , statistics , quantum mechanics , agronomy , biology , operating system
Summary This paper considers the observer‐based integral sliding mode controller design problem of semi‐Markovian jumping singular systems with time‐varying delays. Firstly, by using a plant transformation and supplementary variable technique in the work of Hou et al, the discussed phase‐type semi‐Markov jump singular system is equivalently transformed into its associated Markov jump singular system. Secondly, an observer‐based sliding mode controller design problem is investigated for the associated singular Markov jump systems. The highlight of this paper is that we construct an observer‐based mode‐independent integral sliding mode surface function, which is different from the mode‐dependant sliding mode surface function in the previous literatures. Based on this, an observer‐based sliding mode controller is designed to guarantee that the associated singular Markov jump system meets the reachable condition. Finally, a practical example is presented to demonstrate the efficiency and effectiveness of our obtained results.