Title :
Design of a modified repetitive control system using state feedback based on two-dimensional hybrid model
Author :
Zhang, Jie ; Wu, Min ; Chen, Shi-Huan ; She, Jin-hua ; He, Yong
Author_Institution :
Sch. of Inf. Sci. & Eng., Central South Univ., Changsha, China
Abstract :
This paper presents a method of designing a modified repetitive control system (MRCS) based on a two-dimensional (2D) continuous-discrete hybrid model. First, a 2D continuous-discrete hybrid model of MRCS is established. Next, the design of the feedback controller of the MRCS is converted to the stabilization problem of the 2D hybrid system with a static-state feedback. Then, by using a 2D Lyapunov method, a sufficient stability condition for the 2D hybrid system is derived in terms of a linear matrix inequality. Furthermore, the result is extended to handle a plant with a time-varying uncertainty. These conditions can be used to obtain the parameters of a feedback controller and a low-pass filter in the MRCS. The validity of the method is demonstrated by numerical examples.
Keywords :
Lyapunov methods; continuous systems; control system synthesis; discrete systems; linear matrix inequalities; low-pass filters; stability; state feedback; time-varying systems; uncertain systems; 2D Lyapunov method; 2D continuous-discrete hybrid model; 2D hybrid model; feedback controller design; linear matrix inequality; low-pass filter; modified repetitive control system design; stabilization problem; static-state feedback; sufficient stability condition; time-varying uncertainty; Adaptive control; Control system synthesis; Control systems; Helium; Linear matrix inequalities; Low pass filters; Stability; State feedback; Symmetric matrices; Uncertainty;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399694
