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研究算子系统滑模变结构控制的综合问题.首先,利用线性矩阵不等式方法给出了切换面存在的充分条件,分析了算子变结构控制系统的到达条件,将连续系统和离散系统统一到算子系统.基于指数趋近律,给出滑模变结构控制一般方法.其次,给出一类算子不确定系统的滑模控制器设计,分析了准滑动模态的渐近稳定性,使得系统具有良好的动态性能.最后,用一个仿真实例说明在采样周期取值非常小的前提下,该方法设计的滑模变结构控制仍具有可行性和有效性.
In this paper, the synthesis problem of sliding mode variable structure control for operator systems is studied.Firstly, sufficient conditions for the existence of switched surfaces are given by using the method of linear matrix inequalities, and the arrival conditions of operator control systems with variable structure are analyzed. The continuous systems and discrete systems are unified Operator system.A general method of sliding mode variable structure control is given based on the exponential reaching law.Secondly, a class of sliding mode controller design for operator uncertain system is given, the asymptotic stability of quasi-sliding mode is analyzed, Make the system have a good dynamic performance.Finally, using a simulation example shows that the sliding mode variable structure control designed by this method is feasible and effective under the premise of very small sampling period.