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Verifying nonlinear controllers for stability utilizing closed-loop noisy data

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3 Author(s)
Cha, S.H. ; Dept. of Inf. Eng., Australian Nat. Univ., Canberra, ACT, Australia ; Dehghani, A. ; Anderson, B.D.O.

A framework for addressing a potential instability problem in adaptive control and iterative identification and controller design algorithms is proposed. Suppose an unknown plant is stabilized by a known controller, some knowledge of this stable closed-loop system is available, and the use of a new controller to replace the current stabilizing controller becomes imminent. Our analysis results assume that the `unknown' plant and the controllers are all nonlinear. We further develop a data-based test which utilizes a limited amount of experimental data from an existing stable closed-loop (a plant in connection with a linear stabilizing controller) for verifying that the introduction of a new nonlinear controller will stabilize the unknown plant.

Published in:

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Date of Conference:

15-18 Dec. 2009