Robust Eigenvalue Assignment via Sampled State-Feedback for Linear Polytopic Discrete-Time Periodic Systems
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Universidade Federal de Minas Gerais
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This work deals with the robust eigenvalue assignment problem for periodic discrete-time systems with polytopic uncertainties. By employing a sampled state-feedback control law, a suitable time-invariant reformulation describing a period ahead dynamics associated with the uncertain periodic system is obtained. The obtained results are based on a special class of parameter-dependent Lyapunov functions that adequately cope with the one period ahead dynamics. The robust eigenvalue assignment problem is solved via a convex problem. The proposed conditions ensure that all eigenvalues of the proposed time-invariant reformulation subject to uncertainties are within a specified circular region in the complex plane. Numerical simulations are presented to illustrate the effectiveness of the proposed conditions.
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Teoria do controle, Matemática
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Controle, Controle de Processos, Controle Robusto, Sistemas Periódicos, Otimização, Sampled state-feedback control, Polytopic uncertainty, Linear matrix inequality
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https://proceedings.science/sbai-2019/trabalhos/robust-eigenvalue-assignment-via-sampled-state-feedback-for-linear-polytopic-dis?lang=pt-br