Decentralized robust control for the uncertain nonlinear circle-linked systems
不确定非线性环链系统的分散鲁棒控制

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.