Finite-/fixed-time robust stabilization of switched discontinuous systems with disturbances. (English) Zbl 1380.93194
Summary: 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.
MSC:
| 93D09 | Robust stability |
| 34A36 | Discontinuous ordinary differential equations |
| 93C40 | Adaptive control/observation systems |
| 93C73 | Perturbations in control/observation systems |
Keywords:
finite-time stabilization; fixed-time stabilization; discontinuous systems; switched systemsReferences:
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