Sliding mode control for polytopic differential inclusion systems

Authors:
Leipo Liu;Zhengzhi Han;Xiushan Cai
Affiliations:
School of Electrical and Information Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;School of Electrical and Information Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China
Venue:
Mathematics and Computers in Simulation
Year:
2009

Citing 8
Cited 3

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Abstract

The stabilization problem of polytopic differential inclusion (PDI) systems is investigated by using sliding mode control. Sliding surface is designed and sufficient conditions for asymptotic stability of sliding mode dynamics are derived. A novel feedback law is established to make the state of system reach the sliding surface in a finite time. Finally, an example is given to illustrate the validity of the proposed design.