Dwell-time approach to ℒ2-induced gain analysis of discrete-time switched systems subject to actuator saturation

• Published in: IET control theory & applications Vol. 7; no. 2; pp. 290 - 297
• Main Authors: Zhai, Shidong, Yang, Xiao-Song
• Format: Journal Article
• Language: English
• Published: Stevenage The Institution of Engineering and Technology 01.01.2013; John Wiley & Sons, Inc
• Subjects: actuator saturation; Actuators; control system synthesis; discrete time systems; discrete‐time switched system subject; Disturbances; Dwell time; dwell time approach; Gain; induced gain analysis; input disturbance; linear matrix inequalities; Linear systems; Mathematical models; Saturation; State feedback; state feedback design method; time‐varying systems; input disturbance; time-varying systems; actuators; dwell time approach; discrete time systems; linear matrix inequalities; induced gain analysis; control system synthesis; state feedback; actuator saturation; state feedback design method; discrete-time switched system subject
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2012.0508

This study investigates ℒ2-induced gain from the input disturbance to output of discrete-time switched linear systems subject to actuator saturation. With the state feedback gains adopted beforehand, the authors establish the linear matrix inequalities formulation which estimates the restricted ℒ2-induced gain for this class of switched systems by dwell-time approach. Then the authors investigate the influence of parameter variations on the restricted ℒ2-induced gain, and present a state feedback design method for a fixed dwell time and an upper bound of restricted ℒ2-induced gain. In addition, the authors investigate the qualitative relationship between disturbances rejection capability and dwell time. A numerical example is provided to illustrate the effectiveness of our obtained results.