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Time-suboptimal feedback design via linear matrix inequalities

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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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  1. INRIA, Lille, France

    A. E. Polyakov

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  1. A. E. Polyakov
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Correspondence to A. E. Polyakov.

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Original Russian Text © A.E. Polyakov, 2015, published in Avtomatika i Telemekhanika, 2015, No. 5, pp. 145–164.

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Polyakov, A.E. Time-suboptimal feedback design via linear matrix inequalities. Autom Remote Control 76, 847–862 (2015). https://doi.org/10.1134/S0005117915050100

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