Control for networked control systems with multiplicative noises, packet dropouts and multiple delays

Abstract

This paper mainly focuses on the optimal output feedback control problem for networked control systems (NCSs) involving multiplicative noises, packet dropouts, input delays and measurement delays. The main contributions of this paper can be concluded as follows. Firstly, different from the previous results, this paper overcomes the barrier of the packet dropouts and measurement delays. Based on the measurement data, the optimal estimator is given. Secondly, by using maximum principle, a sufficient and necessary condition for the optimal control problem is presented. Moreover, the explicit output feedback controller is derived with feedback gain based on the coupled Riccati difference equations. Numerical example is illustrated to show the effectiveness of the proposed algorithm.

Keywords:

• Networked control systems (NCSs)
• multiplicative noises
• packet dropouts
• input and measurement delays
• optimal control

Disclosure statement

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

Additional information

Funding

This work was supported by the Taishan Scholar Construction Engineering by Shandong Government, the National Natural Science Foundation of China [61120106011, 61603068, 61773245, 61806113, 61903233, 91848206]  and Key Research and Development Program of Shandong Province [2018GGX101053, 2019GGX103049] and Shandong Province Natural Science Foundation [ZR2018PF011, ZR2018ZC0436].

Notes on contributors

Xiao Lu

Xiao Lu graduated from College of Electron and Information, Dalian Jiao tong University in 1998. He received the Ph.D. degrees from Dalian University of Technology. He is now a professor at Shandong University of Science and Technology. His research interests include estimation and optimal control.

Ruidong Liu

Ruidong Liu received the B.S. degree in electrical engineering and its automation from Xuhai College, China University of Mining and Technology, Xuzhou, China, in 2019. He is currently working on M.S. degree in control engineering in Shandong University of Science and Technology, Qingdao, China. His research interests include estimation and optimal control.

Chuanzhi Lv

Chuanzhi Lv received the B.S. degree in industrial design from Shandong University of Science and Technology, Qingdao, China, in 2019. He is currently working on M.S. degree in control theory and control engineering in Shandong University of Science and Technology, Qingdao, China. His research interests include optimal control and optimal estimation.

Na Wang

Na Wang received her B.S. and M.S. degrees from Shandong University of Science and Technology, Qingdao, China, in 2014 and 2018, respectively, where she is currently pursuing a Ph.D. degree in control theory and control engineering. Her research interests include optimal control and time-delay system.

Qiyan Zhang

Qiyan Zhang received the B.S. degree in automation engineering from Shandong University of Science and Technology, Qingdao, China, in 2018. She is currently working on M.S. degree in control engineering in Shandong University of Science and Technology, Qingdao, China. Her research interests include optimal LQG control, time-delay systems, and multiplicative noise system.

Haixia Wang

Haixia Wang graduated from Dalian Jiao tong University, China, 2002. She received the M.S. and Ph.D. degrees from Dalian University of Technology and Institute of Automation, Chinese Academy of Sciences, in 2005 and 2013, respectively. She is now a associate professor at Shandong University of Science and Technology, and has been a visiting scholar in Ohio State University Columbus. Her research interests include robotics, and computer vision, machine learning and control.

Guilin Zhang

Guilin Zhang received the B.S. and Ph.D degrees in control science and engineering from Shandong University, Jinan, China, in 2006 and 2013. He is currently an associate professor in college of electrical engineering and automation, Shandong University of Science and Technology, Qingdao, China. His research interests include robust control, hysteresis in intelligent material, system identification.

Xiao Liang

Xiao Liang received the B.S. degree in automation engineering from Qingdao University, Qingdao, China, in 2011, and the M.S. degree in control engineering from Northeastern University, Shenyang, China, in 2013, and the Ph.D degree in control science and engineering from Shandong University, Shandong, China, in 2018. He is currently a lecturer in college of electrical engineering and automation, Shandong University of Science and Technology, Qingdao, China. His research interests include optimal control, time-delay system, stabilization, and optimal estimation.