不确定组合系统的输入饱和分散鲁棒控制

通过分散鲁棒线性状态反馈控制得到了不确定输入饱和组合系统可状态反馈镇定的充分条件,找出了基于饱和输入的新的分散鲁棒控制器的设计方法·给出了饱和函数和矩阵的定义·提出了如何使组合系统分散鲁棒稳定的问题·运用矩阵构造Lyapunov函数并借助于代数Riccati方程,获得了比较简单的不确定组合系统稳定的输入饱和分散鲁棒充分条件·并且给出了在系统特殊情况下的分散鲁棒反馈控制律·

Decentralized Robust Stabilization for Uncertain Composite System with Input Saturation

The sufficient conditions enabling an uncertain composite system with input saturation to stabilize its state feedback is obtained by use of decentralized robust linear-state feedback control. A new approach to the design of decentralized robust controller is thus found on input saturation basis. Giving the definitions of saturation function and M-matrix, the problem how to get the decentralized robust stabilization is proposed for composite systems. Then based on M-matrix theory together with a Lyapunov equation constructed, the problem is discussed by virtue of an algebraic Riccati equation. The simplified sufficient conditions are therefore offered for the decentralized robust stabilization of uncertain composite systems with input saturation, as well as the decentralized robust feedback control law of the systems in special cases.