A new singular system approach to output feedback sliding mode control for fractional order nonlinear systems |
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| Authors: | Tao Zhan Xinzhi Liu Shuping Ma |
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| Institution: | 1. School of Mathematics, Shandong University, Jinan 250100, China;2. Department of Applied Mathematics, University of Waterloo, Ontario, Waterloo N2L 3G1, Canada |
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| Abstract: | This paper studies the problem of output feedback sliding mode control (OFSMC) for fractional order nonlinear systems. A necessary and sufficient condition for the existence of a sliding surface is obtained by a new singular system approach and a linear matrix equality (LMI), which reduces the conservativeness of the system. Then an OFSMC law is designed based on a fractional order Lyapunov method, which ensures that the resulting fractional closed-loop system is asymptotically stable and the states of the fractional closed-loop system converge to the sliding surface in finite time. A fractional electrical circuit is discussed to illustrate the effectiveness of the proposed approach. |
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| Keywords: | Corresponding author |
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