Suppressing Exogenous Disturbances in a Discrete-Time Control System as an Optimization Problem

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Abstract

This paper proposes a novel approach to suppressing bounded exogenous disturbances in a linear discrete-time control system by a static state- or output-feedback control law. The approach is based on reducing the original problem to a nonconvex matrix optimization problem with the gain matrix as one variable. The latter problem is solved by the gradient method; its convergence is theoretically
justified for several important special cases. An example is provided to demonstrate the effectiveness of the iterative procedure proposed.

About the authors

M. V. Khlebnikov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences

Author for correspondence.
Email: khlebnik@ipu.ru
Moscow, Russia

References

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