一类相似组合大系统的分散保成本鲁棒控制

Decentralized robust guaranteed cost control for a class of similar composite systems

一类不确定非线性互联相似组合大系统,其互联项是非线性的,而且含有不确定性,不确定项存在于子系统内部及各子系统的互联项中,满足匹配条件,且是有界的,基于Lyapunov稳定性理论,运用线性矩阵不等式(LMI)处理方法,提出了系统存在状态反馈保成本控制器的一个充分条件,设计了一个非线性鲁棒分散控制器,该控制器能够在保证原组合大系统渐近稳定的基础上使给定的二次型成本函数有界,基于LMI方法给出了设计该控制器的一种算法.最后的仿真表明了本文控制方法的有效性.

The nonlinear robust decentralized controllers and their designing algorithm are proposed via the Lyapunov stability theory by using linear matrix inequalities approach for a class of uncertain interconnected similar composite systems, the interconnections of the systems are nonlinear and contain uncertainties which exist in every subsystem and the interconnections, meet the matching condition and have their bounds. A sufficient condition that the systems having state feedback cost controllers is offered, The controllers guarantee that the given quadratic cost function is bounded based on the asymptotical stability of the systems controlled. The final simulation shows the validity of the proposed method.