Title :
Incremental gain analysis of linear systems with bounded controls and its application to the anti-windup problem
Author :
Romanchuk, Brian G. ; Smith, Malcolm C.
Author_Institution :
Centre for Intelligent Machines, McGill Univ., Montreal, Que., Canada
Abstract :
This paper presents an approach to estimating the L2 incremental gain of piecewise linear systems. Storage functions satisfying a dissipation inequality are used to derive a set of linear matrix inequalities (LMIs) to provide a bound. The application of the results to the anti-windup problem is illustrated by examples
Keywords :
H∞ control; Riccati equations; control nonlinearities; control system synthesis; feedback; linear systems; matrix algebra; nonlinear control systems; L2 incremental gain; anti-windup problem; bounded controls; dissipation inequality; incremental gain analysis; linear matrix inequalities; linear systems; piecewise linear systems; storage functions; Actuators; Control design; Control systems; Graphics; Linear matrix inequalities; Linear systems; Nonlinear systems; Performance gain; Piecewise linear techniques; Stability;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.573569
