H_∞ iterative learning controller design for a class of discrete-time systems with data dropouts

Abstract

In this paper, the issue of H_∞ iterative learning controller design is considered for a class of discrete-time systems with data dropouts. With the super-vector formulation of iterative learning control (ILC), such a system can be formulated as a linear discrete-time stochastic system in the iteration domain, and then a sufficient condition guaranteeing both stability of the ILC process and the desired H_∞ performance in the iteration domain is presented. The condition can be derived in terms of linear matrix inequalities that can be solved by using existing numerical techniques. A numerical simulation example is also included to validate the theoretical results.

Keywords:

• ILC
• data dropouts
• H_∞ performance
• stochastic systems
• iteration-varying disturbance

Acknowledgements

This work is supported by programme (Nos. 61203065, 60834001 and 61120106009) of National Natural Science Foundation of China and Program of Open Laboratory Foundation of Control Engineering Key Discipline of Henan Provincial High Education (KG 2011-10).

Additional information

Notes on contributors

Xuhui Bu

Xuhui Bu received the Bachelor's and Master's degrees in automation control from Henan Polytechnic University, JiaoZuo, China, in 2004 and 2007, respectively, and the Ph.D. degree in control theory and application from Beijing Jiaotong University, Beijing, China, in 2011. He is currently an Associate Professor in Henan Polytechnic University, JiaoZuo, China. His research interests include data-driven control, iterative learning control, traffic control, etc.

Zhongsheng Hou

Zhongsheng Hou received the Bachelor's and Master's degrees in applied mathematics from Jilin University of Technology, Changchun, China, in 1983 and 1988, respectively, and the Ph.D. degree in control theory from Northeastern University, Shenyang, China, in 1994. He is currently a Full Professor at the Department of Automatic Control in Beijing Jiaotong University, Beijing, China. His research interests include the fields of the model free adaptive control, learning control and intelligent transportation systems.

Fashan Yu

Fashan Yu received the B.S. degree in automation from Henan Polytechnic University, Jiaozuo, China, in 1977. He is currently a Professor and a Dean of School of Electrical Engineering and Automation in Henan Polytechnic University. His current research interests include industrial process control, PLC control, computer simulation, AC–DC speed control system, etc. He is author and co-author of numerous papers and of several books in the field of control theory and control engineering.

Fuzhong Wang

Fuzhong Wang received the Ph.D. degree in automation from China University of mining and technology. He is currently a Professor of School of Electrical Engineering and Automation in Henan Polytechnic University. His main research interests include robot control, PWM control and electric drive.