基于观测器的滑模控制非线性中立型时滞系统

针对一类状态不可测的非线性不确定中立型时滞系统,基于滑模控制理论,采用线性矩阵不等式的处理方法,提出了滑动模态鲁棒渐近稳定时滞相关的充分条件,设计了一类滑模观测器,同时给出了该观测器存在的充分条件;然后应用滑模控制的趋近率方法和基于观测器所得到的系统估计状态,综合了一类滑模控制器,该控制器同时保证了估计状态下滑模面和估计误差状态下滑模面的渐近可达性;最后通过数值实例证明了该控制方案的可行性.

Observer-based Sliding Mode Control for a Class of Nonlinear Neutral Delay Systems

The issues of sliding mode observer design and observer-based controller design are addressed for a class of uncertain nonlinear neutral delay systems.First,a delay-dependent sufficient condition is proposed for robust asymptotic stability of the sliding mode dynamics.A sliding mode observer is designed,and a sufficient condition is given for the existence of such an observer.Based on the estimated system state,a controller is synthesized by combining the sliding mode control theory with the reaching law technology.This proposed control scheme guarantees the reachability of the sliding surfaces defined in both the state estimation space and the state estimation error space.A numerical example is given to illustrate the proposed design scheme.