不确定关联时滞大系统的分散鲁棒稳定控制器设计

对一类具有数值界不确定性关联时滞大系统,应用线性矩阵不等式(LMI)方法研究使其分散稳定化的鲁棒控制器设计问题.给出了其存在分散鲁棒稳定化控制器的充分条件,在此基础上,通过求解一凸优化问题,指出了具有较小反馈增益的分散稳定化状态反馈控制律的设计方法.仿真示例说明了该方法的应用.

Design of the Decentralized Robust Stabilizing Controller for the Large-Scale Systems of Uncertain Interconnected Time Delay

This paper studied the design of decentralized robust stabilization controller for large-scale uncertain time delay systems by means of linear matrix inequality(LMI) approach.The uncertainties are value bounded and may not satisfy the so-called matching conditions.A sufficient condition for the existence of decentralized stabilization control laws was derived.A convex optimization problem with LMI constraints was formulated to design a decentralized state feedback controller with smaller gain parameters,which enabled the closed-loop system robust asymptotically stable.The given example demonstrated the application of the method.