Strong robustness in adaptive control

M.A. Cadic; Jan W. Polderman

Strong robustness in adaptive control

M.A. Cadic, Jan W. Polderman

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

Abstract

This paper considers the issue of strongly robust stabilization of a set of linear, controllable, time-invariant and SISO systems of degree n 1. First of all the notion of Strong Robustness is introduced. Then we prove the existence of an open strongly robust spherical neighborhood around any system within the studied class. Next, balls of systems are considered and we give a sufficient and a necessary conditions on their radius to ensure their strong robustness. These results are illustrated by the example of first order pole placement design.

Original language	Undefined
Title of host publication	Nonlinear and Adaptive Control: NCN4 2001
Editors	A. Zinober, D. Owens
Place of Publication	Heidelberg
Publisher	Springer
Pages	45-54
Number of pages	10
ISBN (Print)	3-540-43240-X
Publication status	Published - 2003

Publication series

Name	Lecture Notes in Control and Information Sciences
Number	281

Keywords

METIS-214335

Cite this

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AU - Cadic, M.A.

AU - Polderman, Jan W.

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AB - This paper considers the issue of strongly robust stabilization of a set of linear, controllable, time-invariant and SISO systems of degree n 1. First of all the notion of Strong Robustness is introduced. Then we prove the existence of an open strongly robust spherical neighborhood around any system within the studied class. Next, balls of systems are considered and we give a sufficient and a necessary conditions on their radius to ensure their strong robustness. These results are illustrated by the example of first order pole placement design.

KW - METIS-214335

M3 - Chapter

SN - 3-540-43240-X

T3 - Lecture Notes in Control and Information Sciences

SP - 45

EP - 54

BT - Nonlinear and Adaptive Control: NCN4 2001

A2 - Zinober, A.

A2 - Owens, D.

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CY - Heidelberg

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