Distributed adaptive control for high-order stochastic nonlinear systems with unknown control gains and uncertainties

Abstract

The leader-following tracking consensus problem of a class of high-order stochastic nonlinear multi-agent systems with unknown control gains and unknown system parameters is solved in this paper. For a class of high-order stochastic nonlinear multi-agent systems in parametric strict-feedback, the distributed control scheme is designed by using backstepping technology. The adaptive control method is used to deal with the unknown control gains and unknown system parameters. Besides, to save communication resources, the event-trigged control is applied. The control algorithms ensure that all states in the closed-loop system and tracking errors are globally bounded stable in probability. Two simulation examples verify the effectiveness of the designed algorithms.

Keywords:

• Adaptive control
• nonlinear stochastic systems
• leader-following consensus control

Disclosure statement

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

Additional information

Notes on contributors

Baoyu Wen

Baoyu Wen received her B.E. from Kunming University of Science and Technology in 2018. Now she is a Ph.D. candidate at School of Automation, Chongqing University. Her research interests include the adaptive control of nonlinear systems.

Jiangshuai Huang

Jiangshuai HUANG received his B.E. and M.sc. degree in School of Automation from Huazhong University of Science & Technology, Wuhan, China in July 2007 and August 2009, respectively, and Ph.D. from Nanyang Technological University in 2015. He was a Research Fellow in the Department of Electricity and Computer Engineering, National University of Singapore, from August 2014 to September 2016. He is currently with the School of Automation, Chongqing University, Chongqing, China. His research interests include adaptive control, nonlinear systems control, underactuated mechanical system control and multi-agent system control.

Shaoxin Sun

Shaoxin Sun received the B.S. degree in control technology and instrument from Hebei University, Baoding, China, in 2014, and the Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2021. She is currently with the School of Automation, Chongqing University. Her current research interests include fuzzy systems, time-delay systems, fault estimation, fault-tolerant control, and stochastic/random systems.

Xingyue Sheng

Xingyue Sheng received his B.E. degree from Qingdao University of science and technology. Now he is with Chongqing Zhixiang Paving Technology Engineering Co., Ltd. His research interests include the development and promotion of high-performance paving materials for roads and bridges.

Xiaowen Yue

Xiaowen Yue received his B.E. degree from Chongqing University of Posts and Telecommunications. Now he is with Chongqing Zhixiang Paving Technology Engineering Co., Ltd. His research interests include the development and application of special pavement technology.