Output Feedback Stabilization of Linear Systems With Actuator Saturation

• Published in: IEEE transactions on automatic control Vol. 52; no. 1; pp. 122 - 128
• Main Authors: Wu, Fen, Lin, Zongli, Zheng, Qian
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.01.2007; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuator saturation; Actuators; Applied sciences; Coefficients; Computer science; control theory; systems; Constraint optimization; Control system synthesis; Control systems; Control theory. Systems; Design methodology; Design optimization; domain of attraction; Exact sciences and technology; Hydraulic actuators; invariant set; Linear matrix inequalities; Linear systems; Mathematical analysis; Matrices; Matrix methods; Nonlinear control systems; Output feedback; stability; State feedback; Saturation; Non linear control; Feedback regulation; Control synthesis; Invariant set; Attractor; Linear control; Actuator saturation; Constrained optimization; Closed feedback; Asymptotic stability; Time varying system; Linear matrix inequality; Linear motor; Domain of attraction; Output feedback; stability
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2006.886498

The note presents a method for designing an output feedback law that stabilizes a linear system subject to actuator saturation with a large domain of attraction. This method applies to general linear systems including strictly unstable ones. A nonlinear output feedback controller is first expressed in the form of a quasi-LPV system. Conditions under which the closed-loop system is locally asymptotically stable are then established in terms of the coefficient matrices of the controller. The design of the controller (coefficient matrices) that maximizes an estimate of the domain of attraction is then formulated and solved as an optimization problem with LMI constraints