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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。
Aiming at the robust stabilization problem for a class of nonlinear uncertain time-varying delay systems with time-varying delays, an adaptive memoryless sliding mode controller with asymptotic stability is proposed by using Lyapunov stability theory. Based on sliding mode control, this controller ensures that the controller can drive the system state to a previously specified sliding hyperplane for the desired dynamic performance. Once the system reaches the stage of sliding motion dynamically, the system is insensitive to uncertainty. The application of adaptive technology overcomes the uncertain upper bound of unknown, so that the reachable conditions can be satisfied. Finally, the simulation example proves the validity of the memoryless adaptive sliding mode controller, which ensures the global asymptotic stability of the closed-loop system.