Event-triggered robust control for multi-player nonzero-sum games with input constraints and mismatched uncertainties

Zhang, Shunchao1,2; Zhao, Bo3; Liu, Derong4,5; Alippi, Cesare6; Zhang, Yongwei2

2022-12-01

10.1002/rnc.6550

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL   Impact Factor & Quartile

1049-8923

1099-1239

In this article, an event-triggered robust control (ETRC) method is investigated for multi-player nonzero-sum games of continuous-time input constrained nonlinear systems with mismatched uncertainties. By constructing an auxiliary system and designing an appropriate value function, the robust control problem of input constrained nonlinear systems is transformed into an optimal regulation problem. Then, a critic neural network (NN) is adopted to approximate the value function of each player for solving the event-triggered coupled Hamilton-Jacobi equation and obtaining control laws. Based on a designed event-triggering condition, control laws are updated when events occur only. Thus, both computational burden and communication bandwidth are reduced. We prove that the weight approximation errors of critic NNs and the closed-loop uncertain multi-player system states are all uniformly ultimately bounded thanks to the Lyapunov's direct method. Finally, two examples are provided to demonstrate the effectiveness of the developed ETRC method.

adaptive dynamic programming event-triggered robust control input constraints neural networks nonzero-sum games uncertain multi-player nonlinear systems

SCI

English

Others

Beijing Natural Science Foundation[4212038] ; Beijing Normal University Tang Scholar; Guangdong Basic and Applied Basic Research Foundation[2021A1515110022] ; National Natural Science Foundation of China["62073085","61973330"] ; Open Research Project of the State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences[20210108]

Automation & Control Systems ; Engineering ; Mathematics

Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied

WOS:000897967000001

WILEY

ENGINEERING

2-s2.0-85144024853

Web of Science

1.Guangdong Univ Finance, Sch Internet Finance & Informat Engn, Guangzhou, Peoples R China
2.Guangdong Univ Technol, Sch Automat, Guangzhou, Peoples R China
3.Beijing Normal Univ, Sch Syst Sci, Beijing 100875, Peoples R China
4.Southern Univ Sci & Technol, Dept Mech & Energy Engn, Shenzhen, Peoples R China
5.Univ Illinois, Dept Elect & Comp Engn, Chicago, IL USA
6.Politecn Milan, Dipartimento Elettron, Milan, Italy

Zhang, Shunchao,Zhao, Bo,Liu, Derong,et al. Event-triggered robust control for multi-player nonzero-sum games with input constraints and mismatched uncertainties[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2022,33(5):3086-3106.

Zhang, Shunchao,Zhao, Bo,Liu, Derong,Alippi, Cesare,&Zhang, Yongwei.(2022).Event-triggered robust control for multi-player nonzero-sum games with input constraints and mismatched uncertainties.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,33(5),3086-3106.

Zhang, Shunchao,et al."Event-triggered robust control for multi-player nonzero-sum games with input constraints and mismatched uncertainties".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 33.5(2022):3086-3106.