Improved disturbance rejection for predictor-based control of MIMO linear systems with input delay

ABSTRACT

In this paper, we are concerned with the predictor-based control of multi-input multi-output (MIMO) linear systems with input delay and disturbances. By taking the future values of disturbances into consideration, a new improved predictive scheme is proposed. Compared with the existing predictive schemes, our proposed predictive scheme can achieve a finite-time exact state prediction for some smooth disturbances including the constant disturbances, and a better disturbance attenuation can also be achieved for a large class of other time-varying disturbances. The attenuation of mismatched disturbances for second-order linear systems with input delay is also investigated by using our proposed predictor-based controller.

KEYWORDS:

• Input delay
• predictor
• finite time
• disturbance observer
• mismatched disturbance

Acknowledgments

The authors highly appreciate the associate editor and reviewer’ great efforts in reviewing our manuscript and for providing many helpful comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

National Natural Science Foundation of China [grant number 61374086]; Fundamental Research Funds for the Central Universities [grant number 30917014105].

Notes on contributors

Shang Shi

Shang Shi received his B.S. degree and M.S. degree from Jiangsu University, Zhenjiang, China, in 2013 and 2015, respectively. He is currently working toward the Ph.D. degree with the School of Automation, Nanjing University of Science and Technology. His research interests include sliding mode control, finite-time control, fixed-time control and time-delay systems.

Wenhui Liu

Wenhui Liu received her B.S. degree in information and computing science from Nanjing University of Science and Technology, China, in 2012. She is currently working toward the Ph.D. degree with the School of Automation, Nanjing University of Science and Technology. From December 2014 to June 2016, she was a joint supervisory Ph.D. student in the School of Electrical and Electronic Engineering at the University of Adelaide, Australia. Her research interests include adaptive control, fuzzy control, and quantised control of nonlinear systems.

Junwei Lu

Junwei Lu received her B.E. degree and M.T. degree from the Nanjing University of Aeronautics and Astronautics in 2001, and Nanjing University of Science and Technology in 2008, respectively. From 1993 to 2000, she was on faculty in the Nanjing Power College. Since 2000, she has held a faculty position in the College of Electrical and Electronic Engineering at the Nanjing Normal University. Her current research interests include robust filtering and control, time-delay systems and nonlinear systems.

Yuming Chu

Yuming Chu received his B.S. degree from Hangzhou Normal University, Hangzhou, China, in 1988, MSc degree and Ph.D. degree from Hunan University, Changsha, China, in 1991 and 1994, respectively. From 1994 to 2002 he was a Faculty in the Department of Mathematics at the Hunan Normal University, Changshan, China. Since 2002, he has been a Professor in the Department of Mathematics at Huzhou Teachers College, Huzhou, China. Dr Y. Chu’s current research interests include robust filtering and control, quasiconformal mapping and complex dynamic systems.