Sliding Mode Control for Singular Systems with Variable Switched Surface

Abstract:

The problem of minimum time sliding mode variable structure control is researched for a singular continuous linear system on variable reaching surfaces. Firstly, a sufficient condition for asymptotic stability of two switching subsystems’ sliding movements is deduced on integral-type sliding surfaces. Secondly, a new-type reaching law is designed, so that reaching surfaces of subsystems’ state trajectories tend to sliding surfaces at certain rates and finally coincide with them. Thirdly, an estimated value of the minimum time is calculated as less as possible for reaching surfaces to sliding surfaces. And a switching sequence is designed to make two subsystems reach hierarchically to sliding mode and then converge in a neighborhood of the origin. Finally, the effectiveness and the feasibility are illustrated for the proposed method by a simulation example.

• Periodical: Advanced Materials Research (Volume 651)
• Pages: 967-975
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.651.967
• Online since: January 2013
• Authors: Jing Xie, Cun Chen Gao, Chong Zhang
• Keywords: Minimum Time of Arrival, Singular Continuous Linear Systems, Singular Switching Systems, Sliding Mode Control, Variable Reaching Surfaces

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