An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation

• Published in: IEEE transactions on automatic control Vol. 47; no. 1; pp. 140 - 145
• Main Authors: Yong-Yan Cao, Zongli Lin, Ward, D.G.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.01.2002; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Applied sciences; Attraction; Computer science; control theory; systems; Constraint optimization; Control system synthesis; Control systems; Control theory. Systems; Design engineering; Design optimization; Dynamical systems; Dynamics; Exact sciences and technology; Expansion; Feedback; Hydraulic actuators; Linear systems; Saturation; Stability analysis; Stability criteria; Windup; Closed feedback; Attraction; Linear system; Saturation; Linear matrix inequality; Iterative method; Numerical method; Domain of attraction; Optimization; Actuator
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/9.981734

The article considers linear systems subject to actuator saturation. An antiwindup technique is used to enlarge the domain of attraction of the closed-loop system under an a priori designed linear dynamic feedback law. The design of the antiwindup compensation gain is formulated and solved as an iterative optimization problem with LMI constraints. Numerical examples are used to demonstrate the effectiveness of the proposed design technique.