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.

本文的重点是针对一类具有延迟测量和通信中断的非线性时滞系统的分布式最优控制设计。创新在于三个方面。基于李雅普诺夫函数设计了包括最优控制器和有界控制器的分布式最优控制方法。通过通信信道传输的数据的可用性取决于可行性问题。根据适当的假设，给出了保证系统最终有界性的充分条件。本文的意义在于将这种分布式最优控制方法应用于时滞系统。最后，通过一个仿真实例验证了所提方法的有效性。