Observer-based mode-independent integral sliding mode controller design for phase-type semi-Markov jump singular systems. (English) Zbl 1426.93043
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 Z. Hou et al. [IEEE Trans. Autom. Control 51, No. 8, 1383–1387 (2006; Zbl 1366.60082)], 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-dependent 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.
MSC:
| 93B12 | Variable structure systems |
| 60J75 | Jump processes (MSC2010) |
| 93E03 | Stochastic systems in control theory (general) |
Citations:
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