Time-suboptimal feedback design via linear matrix inequalities

Andrey Polyakov 1, 2
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this paper, a time-optimal control problem is considered for plants represented by chains of integrators. A suboptimal solution obtained by using the implicit Lyapunov function approach is proposed in the form of continuous finite-time state feedback regulator. An algorithm for optimal tuning the parameters of the controller is formulated as a finite-dimensional semidefinite program. A robustness-oriented comparison of the optimal and suboptimal solutions in practical implementations of the proposed controller is performed via the numerical example of double integrator.
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Andrey Polyakov. Time-suboptimal feedback design via linear matrix inequalities. Automation and Remote Control / Avtomatika i Telemekhanika, MAIK Nauka/Interperiodica, 2015, 76 (5), pp. 847-862. ⟨10.1134/S0005117915050100⟩. ⟨hal-01215035⟩

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