基于向量Lyapunov函数和LMI的大系统分散镇定

DECENTRALIZED STABILIZATION OF LARGE SCALE SYSTEM BASED ON VECTOR LYAPUNOV FUNCTION AND LMI

基于线性关联大系统的比较方程稳定性判据,给出了一种完全解耦的子系统控制器设计方法.该方法通过构造一个向量Lyapunov函数来满足比较方程的稳定性要求,并将控制器的设计转换为一组线性矩阵不等式的求解,进而对大系统进行镇定.由于各子系统控制器的设计可独立进行,相较于加权Lyapunov函数方法,该方法降低了控制算法的计算量和难度.仿真结果表明了该方法的可行性和有效性.

A completely decoupled method for subsystem controller＇s design was given based on the comparison equations＇stability criterion of linear interconnected large-scale system. This method constructs a vector Lyapunov function to ensure the stability of the comparison equations. And the controller＇s design is converted to solve a set of linear matrix inequalities. Then these controllers are used to stabilize the large-scale system. Compared with those methods based on scalar Lyapunov function, this method reduces the control algorithm＇s computing and difiiculties, due to independent design for each subsystem controller. The simulation results show the feasibility and effectiveness of this method.