不确定关联大系统的分散变结构控制

针对不确定关联大系统,提出了一种变结构渐近稳定控制律.利用左特征向量设计了关联大系统的切换面,在理想切换面附近利用一个辅助函数,建立一个柔化带来柔化控制律.利用Lyapunov稳定性理论和对角占优性质,严格证明了所设计的不确定关联大系统的变结构控制系统的全局渐近稳定性.这种变结构控制律不仅提高了系统进入滑动模态的快速性,而且消除切换面附近的抖振.仿真算例验证了该方法的有效性.

Decentralized variable structure control of interconnected large scale system with uncertainties

A variable structure asymptotically stabilizing control law is proposed for the interconnected large scale systems with uncertainties. The switch surface is designed by making use of the left eigenvectors, and a soft boundary layer is built near the ideal switch surface by using an auxiliary function to make the control law continuous. The Lyapunov stability theory and the diagonal dominant property are used to prove the global asymptotic stability of the interconnected large scale system with uncertainties and with the variable structure control applied. The variable structure control makes the system quickly entering into the sliding mode and eliminates chattering near the switch surface. An illustrative example is given to verify the effectiveness of the method.