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Communication Dans Un Congrès Année : 2013

Event-triggered control with LQ optimality guarantees for saturated linear systems

Résumé

Given a predesigned linear state feedback law for a linear plant ensuring (global) exponential stability of the linear closed loop, together with a certain level of performance, we address the problem of recovering (local or global) exponential stability and perfor mance in the presence of plant input saturation and of a communication channel between the controller output and the saturated plant input. To this aim, we adopt Lyapunov-based techniques which combine generalized sector conditions to deal with the saturation nonlinearity, and event- triggered techniques to deal with the communication channel. The arising analysis yields an event-triggered algorithm to update the saturated plant-input based on conditions involving the closed-loop state. The proposed Lyapunov formulation leads to numerically tractable conditions that guarantee local (or global) exponential stability of the origin of the sampled-data system with an estimate of the domain of attraction.
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Dates et versions

hal-00845303 , version 1 (16-07-2013)

Identifiants

Citer

Alexandre Seuret, Christophe Prieur, Sophie Tarbouriech, Luca Zaccarian. Event-triggered control with LQ optimality guarantees for saturated linear systems. NOLCOS 2013 - 9th IFAC Symposium on Nonlinear Control Systems, Sep 2013, Toulouse, France. 6p., ⟨10.3182/20130904-3-FR-2041.00153⟩. ⟨hal-00845303⟩
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