带不匹配不确定性系统的鲁棒控制

摘要

Presents the use of variable structure control theory to design robust controllers for a class of linear systems with unmatched uncertainties, and the design of switching functions based on robust control theory to guarantee stable sliding modes on the switching surface with unmatched uncertainties, and the use of the variable structure control laws to enable the system state to reach switching surface in finite time to ensure the occurrence and existence of sliding modes and the justification of the feasibility of the proposed method by simulation.%针对一类带有不匹配不确定性的线性系统，利用变结构控制理论设计鲁棒控制器，应用鲁棒控制方法设计了变结构控制的切换函数，以保证滑动模态在不匹配不确定性存在时是稳定的.利用所得切换函数设计的变结构控制律能够使系统状态在不确定性存在的条件下在有限时间内到达切换面，保证了滑动模态的存在.给出的仿真算例说明了方法的有效性.