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Passivity-Based Integral Sliding-Mode Control of Uncertain Singularly Perturbed Systems

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3 Author(s)
Yanbo Gao ; Sch. of Sci., Nantong Univ., Nantong, China ; Binghua Sun ; Guoping Lu

This brief is concerned with passivity-based integral sliding-mode control of uncertain singularly perturbed systems. First, a proper integral sliding surface is constructed. Then, a sufficient condition in terms of linear matrix inequality (LMI) is derived under which the resulting closed-loop system is passive and asymptotically stable in the specified switching surface. The gain matrix of the sliding mode is achieved by means of the previous LMI. In addition, a sliding-mode controller is synthesized to guarantee the reachability of the specified sliding surface. Finally, a numerical example is provided to illustrate the effectiveness of the developed theoretical results.

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Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:58 ,  Issue: 6 )