Communications in Mathematical Analysis

Robust Feedback Synthesis Problem for Systems with a Single Perturbation

V. I. Korobov and T. V. Revina

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Abstract

The paper deals with the global robust feedback syntheses of a bounded control for a disturbed canonical system with an unknown bounded perturbation. Our approach is based on the controllability function method created by V. I. Korobov in 1979. We find a segment where the perturbation can vary and give a positional control which is independent of the perturbation and steers any initial point to the origin for any admissible perturbation from this segment. An estimate for the time of motion is given.

Article information

Source
Commun. Math. Anal., Volume 17, Number 2 (2014), 217-230.

Dates
First available in Project Euclid: 18 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.cma/1418919766

Mathematical Reviews number (MathSciNet)
MR3292970

Zentralblatt MATH identifier
1317.93109

Subjects
Primary: 93B50: Synthesis problems 93C73: Perturbations

Keywords
Controllability function method robust feedback synthesis problem finite-time stabilization unknown bounded perturbation

Citation

Korobov , V. I.; Revina, T. V. Robust Feedback Synthesis Problem for Systems with a Single Perturbation. Commun. Math. Anal. 17 (2014), no. 2, 217--230. https://projecteuclid.org/euclid.cma/1418919766


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