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考虑状态多重时滞大系统的稳定性问题,依赖系统最大时滞界,给出了其可分散状态反馈镇定的时滞相关鲁棒稳定的充分条件。应用Lyapunov-Krasovsii泛函和LMI方法及积分不等式方法,研究其分散鲁棒稳定化的鲁棒控制器设计问题,在此基础上,通过求解一凸优化问题,提出了具有较小反馈增益的分散稳定化状态反馈控制器的设计方法。通过仿真验证了该方法的有效性。
Considering the stability of state-based multi-delay large-scale systems, the sufficient conditions for the delay-dependent robust stabilization of the decentralized state feedback stabilization are given depending on the maximum delay of the system. The Lyapunov-Krasovsii functional approach, the LMI method and the integral inequality method are used to study the robust controller design problem with decentralized robust stabilization. Based on the above, by solving a convex optimization problem, we propose decentralized Stabilization state feedback controller design method. The effectiveness of this method is verified by simulation.