一类非线性不确定中立延迟系统的鲁棒自适应滑模控制(英文)

ROBUST ADAPTIVE SLIDING MODE CONTROL FOR NONLINEAR UNCERTAIN NEUTRAL DELAY SYSTEM

针对一类非线性不确定中立型时变时滞系统的鲁棒镇定问题,利用Lyapunov稳定性理论,提出了一种能渐近稳定系统的自适应无记忆滑模控制器。基于滑模控制技术,确保了该控制器能驱赶系统状态达到事先指定的滑动超平面,从而获得预期的动态性能。一旦系统动态达到滑动运动阶段,系统对不确定是不敏感的。自适应技术的应用克服了不确定的未知上界,使可达条件能被满足。最后,仿真例子证明了该无记忆自适应滑模控制器的有效性,从而保证了闭环系统的全局渐近稳定性。

Robust stabilization for a class of nonlinear uncertain neutral system with time-varying delay is investigated. By applying the Lyapunov stability theorem, an adaptive sliding mode controller （ADSMC） is developed.Based on the sliding mode control technique, the controller can drive the system into a pre-specified sliding hyperplane to obtain the desired dynamic performance. Once the system dynamics reaches the sliding plane, the control system is insensitive to uncertainty. The adaptive technique can overcome the unknown upper bound of uncertainty so that the reaching condition can be satisfied. Furthermore, the controller does not include any delayed state,so such an ADSMC is memoryless. Finally, a numerical example is given to verify the validity of the developed memoryless ADSMC and the globally asymptotic stability is guaranteed for the control scheme.