Title :
Nonlinear ℒ2 gain and regional analysis for systems with anti-windup compensation
Author :
Hu, Tingshu ; Teel, Andrew R. ; Zaccarian, Luca
Author_Institution :
Dept. of Electr. & Comput. Eng., Massachusetts Univ., Lowell, MA, USA
Abstract :
In this paper, we address regional stability and performance analysis on linear control systems with linear anti-windup augmentation. We use LMIs to compute 1) an upper hound for the nonlinear L2 gain, 2) an estimate of the reachable set under norm bounded exogenous input and 3) an estimate of the domain of attraction with zero input The problems are studied in a general setting where the only requirement on the closed-loop system is well-posedness and internal stability of the linear closed-loop system.
Keywords :
control nonlinearities; control system analysis; linear matrix inequalities; linear systems; stability; LMI; antiwindup compensation; closed-loop system; linear control systems; nonlinear ℒ2 gain; regional analysis; regional stability; Actuators; Control systems; Degradation; Equations; Linear systems; Nonlinear control systems; Performance analysis; Performance gain; Robust control; Stability;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470495
