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Adaptive l1 robust control for SISO systems

โœ Scribed by V.F. Sokolov

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
228 KB
Volume
42
Category
Article
ISSN
0167-6911

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โœฆ Synopsis

This paper addresses the problem of nonconservative adaptive robust regulating a SISO system, allowing for model perturbations in the coprime factor representation of the system as well as external additive bounded disturbance signals.

The perturbations and disturbances are assumed to belong to a particular parameterized class and are norm bounded. The norm bounds are not available for control design, but the class knowledge is available. The performance measure is the worst-possible steady-state absolute value of the controlled output, over the class of allowable disturbances and model perturbations. An identiรฟcation-based adaptive control method is proposed where the identiรฟcation criterion coincides with the control objective. The proposed adaptive scheme achieves near-optimal performance. Simulations comparing the new scheme with an adaptive controller based on classical recursive least-squares identiรฟcation are presented.

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## Abstract The problem of robust stabilization for uncertain dynamic timeโ€delay systems is considered. Firstly a class of timeโ€delay systems with uncertainties bounded by highโ€order polynomials and unknown coefficients are considered. The corresponding controller is designed by employing adaptive