Distributed Optimal Control of Nonlinear Time-Delay System Subject to Delayed Measurements and Communication Disruptions

• Published in: Journal of systems science and complexity Vol. 34; no. 4; pp. 1426 - 1437
• Main Authors: Su, Baili, Duan, Yuxing
• Format: Journal Article
• Language: English
• Published: Beijing Academy of Mathematics and Systems Science, Chinese Academy of Sciences 01.08.2021; Springer Nature B.V
• Subjects: Communication; Complex Systems; Control; Control methods; Control systems design; Controllers; Liapunov functions; Mathematics; Mathematics and Statistics; Mathematics of Computing; Nonlinear control; Nonlinear systems; Operations Research/Decision Theory; Optimal control; Statistics; Systems Theory; Time delay systems; nonlinear time-delay systems; delayed measurements; distributed optimal control; Communication disruptions
• ISSN: 1009-6124; 1559-7067
• DOI: 10.1007/s11424-020-9302-x

This paper is focused on a distributed optimal control design for a class of nonlinear time-delay systems with delayed measurements and communication disruptions. The innovation lies in three aspects. The distributed optimal control method which includes an optimal controller and a bounded controller is designed based on Lyapunov function. The availability of data transmitted through the communication channel depends on a feasibility problem. And a sufficient condition to guarantee ultimate boundedness of the system is given based on appropriate assumptions. The significance of this paper is that this distributed optimal control method is applied to time-delay system. Finally, a simulation example is given to verify the effectiveness of the proposed method.