论文信息 - Non-fragile discrete repetitive control based on two-dimension model

Non-fragile discrete repetitive control based on two-dimension model

A design method for a non-fragile repetitive control based on two-dimensional model is proposed for a class of linear discrete-time systems. The characteristics of the control and learning processes, as well as the uncertainties of repetitive controller and feedback controller are considered to establish a two-dimensional model for the discrete repetitive control system. Next, the stability condition and the non-fragile repetitive control law for the discrete repetitive control system are obtained based on the linear matrix inequality technique. Finally, the validity of the method is verified by a numerical example.

Min Wu | Yong He | Song-Gui Yuan | C. Fu

[1] Krzysztof Galkowski,et al. Control Systems Theory and Applications for Linear Repetitive Processes - Recent Progress and Open Research Questions , 2007 .

[2] P. Dorato,et al. Non-fragile controller design: an overview , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[3] Shankar P. Bhattacharyya,et al. Robust, fragile or optimal? , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[4] Gunnar Hillerström,et al. Repetitive Control Theory and Applications - A Survey , 1996 .

[5] Lihua Xie,et al. Output feedback H∞ control of systems with parameter uncertainty , 1996 .

[6] K. Srinivasan,et al. Discrete-Time Repetitive Control System Design Using the Regeneration Spectrum , 1993 .

[7] P. Khargonekar,et al. Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory , 1990 .

[8] Masayoshi Tomizuka,et al. Analysis and Synthesis of Discrete-Time Repetitive Controllers , 1989 .

[9] S. Hara,et al. Repetitive control system: a new type servo system for periodic exogenous signals , 1988 .