Finite-/fixed-time robust stabilization of switched discontinuous systems with disturbances

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Finite-/fixed-time robust stabilization of switched discontinuous systems with disturbances

Liu, Xiaoyang; Ho, Daniel W. C.; Song, Qiang; Cao, Jinde

Nonlinear dynamics, 11/2017, Volume: 90, Issue: 3

Journal Article

This paper investigates the finite-time and fixed-time stabilization (FFTS) of switched systems with discontinuous dynamics, external disturbances and delays. Firstly, a new parameterized discontinuous stabilizer is designed to ensure the FFTS of switched discontinuous systems in the sense of Filippov solutions. Secondly, a detailed analysis is provided on how to regulate the power parameters to determine the settling time is finite or fixed. Thirdly, a new adaptive controller is further designed to stabilize the considered system in a finite time, and the corresponding settling time is estimated as well. Finally, two examples are given to demonstrate the efficiency of the proposed method.

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Liu, Xiaoyang | Ho, Daniel W. C. | Song, Qiang | Cao, Jinde

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