Stability and Feedback Design of a Class of Time-Delay Systems with Discontinuity : Functional Differential Inclusion-Based Approach
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概要
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To analyze and synthesize time-delay systems with discontinuity, the framework of differential inclusion in the sense of Filippov is extended to functional differential inclusion. Based on the extension, the concept of Filippov solution is introduced for the time-delay systems with discontinuity at first, and then it is shown that both the Lyapunov stability and the LaSalle invariance principle results can be extended to such kind of systems. Moreover, by using the proposed analysis tools, a stabilization feedback design approach is proposed for a class of nonlinear time-delay systems with discontinuity. Simulation results of numerical examples are given to demonstrate the proposed control approaches.
- 2009-06-01
著者
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Shen Tielong
Department Of Applied Science And Engineering Sophia University
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Shen Tielong
Dep. Of Engineering And Applied Sciences Sophia Univ.
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ZHANG Jiangyan
Department of Engineering and Applied Sciences, Sophia University
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Zhang Jiangyan
Dep. Of Engineering And Applied Sciences Sophia Univ.
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Zhang Jiangyan
Department Of Applied Science And Engineering Sophia University
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