Observer‐based mode‐independent integral sliding mode controller design for phase‐type semi‐Markov jump singular systems. (25th July 2019)

• Record Type: Journal Article
• Authors: Li, Yanbo; Kao, Binghua; Park, Ju H.; Kao, Yonggui; Meng, Bo
• Other Names: Quevedo Daniel E. guestEditor.; Chatterjee Debasish guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 15(2019)
• Page Start: 5213
• Page End: 5226
• Publication Date: 2019-07-25
• Subjects: observer -- semi‐Markov jump singular system -- sliding mode control -- time delay; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4679
• Languages: English
• ISSNs: 1049-8923

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.