Closed-loop delta-operator-based subspace identification for continuous-time systems utilising the parity space

Abstract

This paper presents a closed-loop delta-operator-based subspace identification method for continuous-time systems utilising the parity space. The continuous-time systems are transformed to the delta-operator-based state space models which converge to the original systems with the sampling period going to zero. Instead of using the observable subspace, we focus on the parity space which is commonly employed in fault detection. The system is estimated consistently by the instrumental variable method and principal component analysis, which solves the identification problems of biased results as the system operates in closed-loop due to the feedback controller. The effectiveness of the proposed method is illustrated by simulation results.

Keywords:

• Subspace identification
• closed-loop identification
• delta-operator
• principal component analysis
• parity space

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This research was supported by the National Natural Science Foundation of China (NSFC) (Nos. 62003082, 61773106, U1808205), the Fundamental Research Funds for the Central Universities (No. N2023009), and the IAPI Fundamental Research Funds (2013ZCX02-03).

Notes on contributors

Miao Yu

Miao Yu received the B.S. degree in Mathematics and Applied Mathematics from Binzhou University, Binzhou, China, in 2010, M.S. degree in Operations Research and Control Theory from University of Science and Technology Liaoning, Anshan, China, in 2013, and Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2019. She is currently a lecturer at the School of Control Engineering, Northeastern University at Qinhuangdao. Her current research interest covers system identification and predictive control.

Ge Guo

Ge Guo received the B.S. degree in Automatic Instrument and Equipment and the Ph.D. degree in Control Science and Engineering from Northeastern University, Shenyang, China, in 1994 and 1998, respectively. He has published over 160 journal papers within his research areas. His current research interests include networked control systems, multi-agent systems, sensor/actuator networks, vehicular cooperative control, and autonomous surface/underwater vehicle control. He was an Honoree of the New Century Excellent Talents in Universities, China, nominee for the Gansu Top Ten Excellent Youths, Gansu, China. He was a recipient of an award from the Fok Ying Tong Education Foundation, China. He is the Managing Editor of the International Journal of Systems, Control, and Communications, an Associate Editor of Information Sciences and the IEEE Intelligent Transportation Systems Magazine, and an Editorial Board Member of ACTA Automatica Sinic.

Jianchang Liu

Jianchang Liu received the B.S., M.S., and Ph.D. degrees from Northeastern University, Shenyang, China, in 1980, 1989, and 1998, respectively. He is currently a Professor at the Collage of Information Science and Engineering, Northeastern University. His research interest includes modeling, control and optimization for complex process and systems, fault diagnosis, theory and application of artificial intelligent.