Robust Stabilization via Super-Stable Systems Techniques

Svetlana A. Krasnova, Yulia G. Kokunko, Victor A. Utkin and Anton V. Utkin
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Svetlana A. Krasnova: V.A. Trapeznikov Institute of Control Sciences of RAS, 117997 Moscow, Russia
Yulia G. Kokunko: V.A. Trapeznikov Institute of Control Sciences of RAS, 117997 Moscow, Russia
Victor A. Utkin: V.A. Trapeznikov Institute of Control Sciences of RAS, 117997 Moscow, Russia
Anton V. Utkin: V.A. Trapeznikov Institute of Control Sciences of RAS, 117997 Moscow, Russia

Mathematics, 2021, vol. 10, issue 1, 1-23

Abstract: In this paper, we propose a direct method for the synthesis of robust systems operating under parametric uncertainty of the control plant model. The developed robust control procedures are based on the assumption that the structural properties of the nominal system are conservated over the entire range of parameter changes. The invariant-to-parametric-uncertainties transformation of the initial model to a regular form makes it possible to use the concept of super-stable systems for the synthesis of a stabilizing feedback. It is essential that the synthesis of super-stable systems is carried out not on the basis of assigning eigenvalues to the matrix of the close-loop system, but in terms of its elements. The proposed approach is applicable to a wide class of linear systems with parametric uncertainties and provides a given degree of stability.

Keywords: parametric uncertainty; robust control; super-stability; regular form; decomposition (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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