具有次优保性能滑动模态的静态输出反馈滑模控制

针对一类不确定系统,提出了一种具有次优保性能滑模面的静态输出反馈滑模控制方法.首先将滑模面的设计问题等价为一个对称矩阵的求解问题,基于等效控制法,推导了保性能滑模面存在的充分条件.然后基于迭代线性矩阵不等式(iterative linear matrix inequality,ILMI)方法,给出了次优保性能线性滑模面的求解算法,最后基于线性矩阵不等式(linearmatrix inequality,LMI)方法,设计了输出反馈滑模控制器,使得闭环系统渐近稳定且切换函数能在有限时间内到达零.该方法首次实现了输出反馈滑模面的优化,且具有保守性小、无需对被控系统模型进行坐标变换的优点.仿真结果验证了本文方法的优越性.

Static output feedback sliding mode control with suboptimal guaranteed cost sliding mode

A method of static output feedback sliding mode control with suboptimal guaranteed cost sliding mode is proposed for a class of uncertain systems. At first, the designing of the sliding surface is equated to the solution of a symmetric matrix and the existence condition of sliding surface is derived based on equivalent control principle. Then, by using iterative linear matrix inequality (ILMI) approach, an algorithm for the solution of linear sliding surface with suboptimal guaranteed cost is proposed. At last, a static output feedback controller is designed based on linear matrix inequality (LMI) approach, which can ensure asymptotically stable of the closed-loop system and the switch function can convergence to zero in finite time. The proposed method firstly realized optimization of output feedback sliding surface, and possess characteristic such as less conservation and no needing to use coordinate transform on system model. Simulation results verified the superiority of the proposed method.