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Estabilização quadrática por realimentação de saída de sistemas Lur'e a tempo contínuo via LMIs

Abstract : This work investigates the problem of stabilization of continuous-time Lur’e systems with sector bounded nonlinearity. The proposed control law feedbacks both the output and the nonlinearity of the system. The conditions, formulated in terms of linear matrix inequalities, are based on a quadratic Lyapunov function and solved by means of an iterative algorithm. As main novelty, the gains of the controller appear linearly and are treated as decision variables of the optimization problem. Therefore, the presented method can indistinctly handle state and output-feedback, as well as magnitude limitations or structural constraints (such as decentralization) on the gains. Numerical examples illustrate the benefits of the proposed approach, which can be computationally more effective and less conservative when compared to other existing techniques in particular contexts, such as decentralized state-feedback control.
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https://hal.inria.fr/hal-03151866
Contributor : Giorgio Valmorbida <>
Submitted on : Thursday, February 25, 2021 - 10:01:14 AM
Last modification on : Tuesday, April 13, 2021 - 12:20:19 PM

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Ariádne Bertolin, Ricardo Oliveira, Giorgio Valmorbida, Pedro Peres. Estabilização quadrática por realimentação de saída de sistemas Lur'e a tempo contínuo via LMIs. Congresso Brasileiro de Automática - 2020, Nov 2020, Porto Alegre, Brazil. ⟨10.48011/asba.v2i1.1437⟩. ⟨hal-03151866⟩

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