Sliding mode control for polytopic differential inclusion systems |
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| Authors: | Leipo Liu Zhengzhi Han Xiushan Cai |
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| Affiliation: | 1. School of Electrical and Information Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;2. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China |
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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. |
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| Keywords: | Polytopic differential inclusion systems Sliding mode control Asymptotic stability |
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