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A Biased Approach to Nonlinear Robust Stability with Applications in Adaptive Control

French, Mark and Bian, Wenming (2009) A Biased Approach to Nonlinear Robust Stability with Applications in Adaptive Control At Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, China. 16 - 18 Dec 2009. , pp. 1393-1398.

Record type: Conference or Workshop Item (Paper)

Abstract

The nonlinear robust stability theory of Georgiou and Smith (IEEE Trans. Auto. Control, 42(9):1200--1229, 1997) is generalized to the case of notions of stability with bias terms. An example from adaptive control illustrates non trivial robust stability certificates for systems which the previous unbiased theory could not establish a non-zero robust stability margin. This treatment also shows that the BIBO robust stability results for adaptive controllers in French (IEEE Trans. Auto. Control, 53(2):461--478, 2008) can be refined to show preservation of biased forms of stability under gap perturbations. In the nonlinear setting, it also is shown that, in contrast to LTI systems, the problem of minimizing nominal performance is not equivalent to maximizing the robust stability margin.

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More information

Published date: 16 December 2009
Additional Information: Event Dates: 16-18 Dec 2009
Venue - Dates: Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, China, 2009-12-16 - 2009-12-18
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 260494
URI: http://eprints.soton.ac.uk/id/eprint/260494
PURE UUID: 7308ae5b-4978-4f0f-8e10-0a5c68d76c01

Catalogue record

Date deposited: 10 Sep 2009 09:12
Last modified: 18 Jul 2017 09:12

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Contributors

Author: Mark French
Author: Wenming Bian

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