Integral sliding mode control for Markovian jump T–S fuzzy descriptor systems based on the super‐twisting algorithm. Issue 8 (1st May 2017)

• Record Type: Journal Article
• Authors: Li, Jinghao; Zhang, Qingling; Yan, Xing‐Gang; K. Spurgeon, Sarah
• Is Part Of: IET control theory & applications. Volume 11:Issue 8(2017)
• Page Start: 1134
• Page End: 1143
• Publication Date: 2017-05-01
• Subjects: 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; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2016.0862
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : 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.