Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 11, Issue 8, Pages 1134-1143Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2016.0862
Keywords
variable structure systems; Markov processes; stability; fuzzy systems; stochastic systems; fuzzy membership functions; descriptor redundancy; sliding motion stability; state trajectories; variable gain super-twisting algorithm; integral sliding surface; Markovian jump T-S fuzzy descriptor systems; integral sliding mode control
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Funding
- National Natural Science Foundation of China [61273008, 61673099]
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This study investigates integral sliding mode control problems for Markovian jump T-S fuzzy descriptor systems via the super-twisting algorithm. A new integral sliding surface which is continuous is constructed and an integral sliding mode control scheme based on a variable gain super-twisting algorithm is presented to guarantee the well-posedness of the state trajectories between two consecutive switchings. The stability of the sliding motion is analysed by considering the descriptor redundancy and the properties of fuzzy membership functions. It is shown that the proposed variable gain super-twisting algorithm is an extension of the classical single-input case to the multi-input case. Finally, a bio-economic system is numerically simulated to verify the merits of the method proposed.
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