Title :
Regional anti-windup compensation for linear systems with input saturation
Author :
Hu, Tingshu ; Teel, Andrew R. ; Zaccarian, Luca
Author_Institution :
Dept. of ECE, Massachusetts Univ., Lowell, MA, USA
Abstract :
In this paper we propose LMI methods for designing dynamic/static anti-windup compensators to improve regional performance and stability of linear control systems with saturating actuators. Algorithms are developed for minimizing the upper bound on the regional L2 gain for exogenous inputs with L2 norm bounded by a given value, and for minimizing this upper bound with a guaranteed reachable set or domain of attraction. Based on the structure of the optimization problems, it is shown that for systems whose plants have poles in the closed left-half plane, plant order dynamic anti-windup can achieve semiglobal stability and finite L2 gain for exogenous inputs with L2 norm hounded by any finite value. The problems are studied in a general setting where the only requirement on the linear control system is well-posedness and internal stability.
Keywords :
actuators; control nonlinearities; linear matrix inequalities; linear systems; stability; LMI methods; input saturation; linear control systems; optimization problems; regional ℒ2 gain; regional antiwindup compensation; saturating actuators; Actuators; Algorithm design and analysis; Control system synthesis; Control systems; Design methodology; Design optimization; Linear systems; Performance gain; Stability; Upper bound;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470496