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研究了非匹配不确定离散广义系统准滑模控制策略的综合问题.给出了具有前级状态向量的动态切换函数,使得系统能够在切换带内稳定.设计了两种带有扰动补偿的离散广义趋近律,消除了常规滑模控制策略中不确定项必须有界的限制,且不必满足匹配条件.给出了系统准滑动模态保持逐步穿越切换面的必要条件,减小了准滑动模态切换带的带宽.所设计的滑模控制器在有限时间内可达切换面,削弱了系统抖振,有效地改善了系统动态品质.最后,数值算例验证了该控制策略的可行性.
The synthesis problem of quasi-sliding mode control for uncertain singular discrete systems with non-matching uncertainties is studied. A dynamic switching function with state vectors at the preceding stage is given, which makes the system stable in the switching band. Two discrete The generalized reaching law eliminates the restrictions that must be bounded by the uncertainties in the conventional sliding mode control strategy, and does not need to satisfy the matching conditions. The necessary conditions for the system to keep moving through the switching surface gradually are given, and the quasi-sliding The bandwidth of modal switching band.The designed sliding mode controller can reach the switching face in a limited time, weakening the chattering of the system and effectively improving the dynamic quality of the system.Finally, numerical examples show the feasibility of the control strategy .