Robust guaranteed cost control for a class of large scale networked control systems

M. Azimi, A. Afzalian, R. Ghaderi
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Abstract

In this paper a decentralized guaranteed cost control for a class of interconnected large scale networked control system is presented. For this purpose a local state feedback controller is designed for each system. There is high interconnection between each subsystem. The control loop of each subsystem is closed via communication network. Packet Loss, network induced delay and delays at interconnected states are considered in problem formulation. New sufficient conditions for the existence of guaranteed cost controllers are proposed by introducing a Lyapunov-Krasovskii functional. An explicit expression for the desired robust decentralized local state feedback control law is also given. Finally, numerical example shows the efficiency of proposed method in comparison with conventional controls.
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一类大型网络控制系统的鲁棒保成本控制
提出了一类大型互联网络控制系统的分散保成本控制方法。为此,为每个系统设计了一个局部状态反馈控制器。各子系统之间有高度互连。各子系统的控制回路通过通信网络实现封闭。在问题表述中考虑了丢包、网络引起的延迟和互连状态下的延迟。通过引入Lyapunov-Krasovskii泛函,提出了保证成本控制器存在的新充分条件。给出了期望鲁棒分散局部状态反馈控制律的显式表达式。最后,通过数值算例验证了该方法与常规控制方法的有效性。
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