非匹配时变不确定性时滞系统的Terminal滑模控制

针对具有非匹配时变不确定性和时滞的线性系统,提出了快速terminal滑模控制策略.采用非线性滑动平面的设计方法,使得系统状态可在有限时间内收敛至平衡点.滑动平面系数满足扩展匹配条件时,设计的terminal控制器确保了在滑动平面上系统对于非匹配时变不确定性和时滞具有不变性,并保证了滑动平面的到达和闭环系统的稳定.仿真结果验证了控制策略的有效性.

Terminal sliding mode control for time-delay system with unmatched time-varying uncertainties

Fast terminal sliding mode control strategy is proposed for time-delay linear system with unmatched time-varying uncertainties.The terminal sliding mode uses nonlinear sliding surface to ensure the system reach the equilibrium point in finite time.When the extended sliding coefficient matching condition is satisfied,terminal sliding mode controller can have the system on the sliding surface be invariant to the unmatched time-varying uncertainties and time-delay elements.It also guarantees the reaching mode of the sliding surface and the stability of the close-loop system.Simulation results are used to illustrate the effectiveness of the presented terminal sliding mode control strategy.