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Hybrid control design for limit cycle stabilisation of planar switched systems

Abstract : This paper addresses the control problem of an important class of hybrid dynamical systems where the desired state does not belong to the set of subsystem equilibria. Beyond the practical stabilisation where the system trajectory has to be driven to a neighbourhood of a desired state, a control law is designed to solve the limit cycle stabilisation problem for planar hybrid systems. Using the hybrid Poincaré map, two hybrid controllers are developed, which guarantee a local asymptotic/finite-time stability of the desired limit cycle. Illustrative examples are provided to highlight the effectiveness of the derived results.
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Submitted on : Monday, November 15, 2021 - 8:27:15 AM
Last modification on : Tuesday, November 16, 2021 - 3:56:50 AM

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Mohammed Benmiloud, Atallah Benalia, Mohamed Djemai, Michael Defoort. Hybrid control design for limit cycle stabilisation of planar switched systems. International Journal of Control, Taylor & Francis, 2018, 91 (7), pp.1720-1729. ⟨10.1080/00207179.2017.1327723⟩. ⟨hal-03428129⟩

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