不确定非线性环链系统的分散鲁棒控制

Decentralized robust control for the uncertain nonlinear circle-linked systems

提出了环链系统和一类不确定非线性环链系统,利用线性代数理论,给出了实现环链系统的充要条件,运用李雅普诺夫稳定理论和矩阵理论研究了不确定非线性环链系统的鲁棒镇定,并给出了一种非线性鲁棒镇定控制器的设计,还考虑了一类非线性环链相似组合大系统,给出了分散鲁棒镇定条件,最后给出数值例子说明设计方法的有效性。

The circle-linked systems and a class of uncertain nonlinear circle-linked systems are proposed in this paper. Firstly, a sufficient and necessary condition for realization circle-linked systems is given by using linear algebra theory. Robust stabilization for the uncertain nonlinear circle-linked systems is then studied by employing Lyapunov stability theory and matrix theory, and a kind of nonlinear decentralized robust stabilization controller for the systems is also designed. Furthermore, a class of nonlinear circle-linked similar large-scale composite systems is considered and the condition of decentralized robust stabilization for the systems is obtained. Finally, a numerical example is given to illustrate the validity of the obtained design method.