Hybrid Regional Stabilization of Linear Systems with Actuator Saturation and Multi-Rate Samplers

Abstract : Regional stability analysis of linear systems with multi-rate samplers and actuator saturation is studied. A hybrid controller is used to perform a fusion of measurements sampled at different times. In between sampling events, the controller behaves as a copy of the plant. When a new measurement is available, the controller state undergoes a jump. The resulting system is analyzed in a hybrid system framework. Sufficient conditions in the form of matrix inequalities are given to determine estimates of the basin of attraction of the closed-loop system. Finally, the effectiveness of the proposed methodology is shown in an example.
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Francesco Ferrante, Ricardo Sanfelice, Sophie Tarbouriech. Hybrid Regional Stabilization of Linear Systems with Actuator Saturation and Multi-Rate Samplers. European Control Conference 2019, Jun 2018, Limassol, Cyprus. pp.1-6. ⟨hal-01721712⟩

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