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State Feedback Stabilization of Switched Systems with Delay: Trajectory Based Approach

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Saeed Ahmed
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  • PersonId : 1024804
Hitay Ozbay
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  • PersonId : 934260

Abstract

We present a new trajectory based approach for state feedback stabilization of switched linear continuous-time systems with a time-varying input delay. In contrast with finding classical common Lyapunov function or multiple Lyapunov functions for establishing the stability of the closed-loop switched system, the new trajectory based approach relies on verifying certain inequalities along the solution of a supplementary system. This study does not make any assumption regarding the stabi-lizability of all of the constituent modes of the switched system. Moreover, no assumption is needed about the differentiability of the delay and no constraint is imposed on the upper bound of the delay derivative. Finally, an illustrative example is included to illustrate the applicability of our results.
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Dates and versions

hal-01660129 , version 1 (10-12-2017)

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Frédéric Mazenc, Saeed Ahmed, Hitay Ozbay. State Feedback Stabilization of Switched Systems with Delay: Trajectory Based Approach. ACC 2017 - American Control Conference, May 2017, Seattle, United States. pp.4540-4543, ⟨10.23919/ACC.2017.7963655⟩. ⟨hal-01660129⟩
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