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Journal Articles Automation and Remote Control / Avtomatika i Telemekhanika Year : 2015

Time-suboptimal feedback design via linear matrix inequalities

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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Dates and versions

hal-01215035 , version 1 (16-12-2015)

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Cite

Andrey Polyakov. Time-suboptimal feedback design via linear matrix inequalities. Automation and Remote Control / Avtomatika i Telemekhanika, 2015, 76 (5), pp. 847-862. ⟨10.1134/S0005117915050100⟩. ⟨hal-01215035⟩
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