Evaluate the performance of the systems with uncertainties

Author

Liu, Jun

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore

Volume

6

fYear

1995

fDate

21-23 Jun 1995

Firstpage

4427

Abstract

Robustness is considered as a system property of stability being unaffected by perturbations, as far as possible. However, the performance of the closed-loop systems will be degraded in order to reach the robustness of the control. The performance of the system with uncertainties is defined as “perturbed cost” of feedback control. The aim of this paper is to establish the relationship between the optimal cost of the system and the cost perturbed by the system uncertainties. The bounds on the ratio of optimal cost to the perturbed cost can be considered as the “distance” between optimal control and a linear feedback control stabilizing the system

Keywords

asymptotic stability; closed loop systems; feedback; linear systems; optimal control; robust control; uncertain systems; closed-loop systems; feedback control; linear feedback control; optimal control; optimal cost; perturbed cost; robustness; stability; uncertainties; Control systems; Cost function; Degradation; Feedback control; Optimal control; Riccati equations; Robustness; Stability; Uncertainty; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, Proceedings of the 1995

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2445-5

Type

conf

DOI

10.1109/ACC.1995.532773

Filename

532773