非线性控制大系统的部分镇定

研究了非线性大系统关于部分状态变量的镇定问题，大系统放弃了其对应的孤立子系统部分状态为稳定的条件．基于数量与向量李雅普诺夫函数，以分解-集结方法为基础，研究了两类控制方法．当控制大系统具有不稳定孤立子系统时，讨论了控制大系统的非线性反馈控制；当不知道控制大系统的孤立子系统的稳定性时，利用带有部分状态线性反馈控制项的孤立子系统的部分稳定性，讨论了控制大系统的部分状态变量线性反馈控制．基于矩阵的性质及不等式分析，分别得到了保证控制大系统部分状态渐近镇定的充分条件．算例证实了设计方法的有效性．

Partial stabilization for nonlinear control large scale systems

Instead of assuming the conditions of partial stability for the corresponding isolated subsystems, this letter addresses partial stabilization for nonlinear control large-scale systems with respect to part states. Based on both scalar and vector Lyapunov function and aggregation-decomposition methods, two control approaches, namely, a nonlinear feedback controller of full state variables and a linear feedback controller of partial state variables, were investigated. A nonlinear feedback controller for control large-scale systems was studied, where the corresponding isolated subsystems were unstable. A linear feedback controller of state variables for control large-scale systems was discussed by use of the partial stability of the corresponding isolated subsystems with linear feedback control terms of partial state variables under the condition that the stability of the original isolated subsystems of the control large-scale systems was unknown. Some sufficient conditions for the partial stabilization of control large-scale systems were obtained by matrix properties and inequality analysis technique. A numerical example was presented to illustrate the effectiveness of the methods.