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- Title
Observer‐based mode‐independent integral sliding mode controller design for phase‐type semi‐Markov jump singular systems.
- Authors
Li, Yanbo; Kao, Binghua; Park, Ju H.; Kao, Yonggui; Meng, Bo
- Abstract
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.
- Subjects
SLIDING mode control; PLANT genetic transformation; JUMPING; TIME-varying systems
- Publication
International Journal of Robust & Nonlinear Control, 2019, Vol 29, Issue 15, p5213
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.4679