时滞型关联大系统的分散化控制方法研究

Study of Dispersed Control Method of Time Delaying and Relating Big System

对存在时间滞后的关联大系统做了数学描述,设计了一个关联大系统的分散稳定化控制律,给出了系统分散能镇定的条件,并加以证明。根据分散能镇定条件提出了基于线性矩阵不等式的大系统分散控制器的设计方法。最后应用MATLAB的求解器mincx求解由3个子系统复合的关联系统,证明了该系统是分散能镇定的;然后应用求解器mincx求解系统的优化问题,可以看出具有给定稳定度的闭环系统有更好的过渡过程。

A mathematic description of time-delaying big system was given, then a dispersed stabilization control law was designed, with conditions of system disperse stability proved. It also proposed a method to design the big system dispersed controller based on linear matrix inequality according to the dispersed stability conditions. Finally, simulations using LMI toolbox of MATLAB was made to find solutions of the relating system composed of three subsystems, that was proved to be stable and dispersed. Then, Minex was used to find the system optimization. Simulation results expatiate that big system disperse control based on the given stable closed system has excellent robustness.