The robust stability and robust sliding mode control problems are studied for a class of linear distributed time-delay systems with polytopic-type uncertainties by applying the parameter-dependent Lyapunov functional ...The robust stability and robust sliding mode control problems are studied for a class of linear distributed time-delay systems with polytopic-type uncertainties by applying the parameter-dependent Lyapunov functional approach combining with a new method of introducing some relaxation matrices and tuning parameters, which can be chosen properly to lead to a less conservative result. First, a sufficient condition is proposed for robust stability of the autonomic system; next, the sufficient conditions of the robust stabilization controller and the existence condition of sliding mode are developed. The results are given in terms of linear matrix inequalities （LMIs）, which can be solved via efficient interior-point algorithms. A numerical example is presented to illustrate the feasibility and advantages of the proposed design scheme.展开更多
为了改善音圈电机驱动系统的动态性能,课题组提出了一种全局自适应非奇异快速终端滑模控制策略。在非奇异快速终端滑模控制器的基础上,引入全局滑态因子,改善系统的瞬态响应;同时将自适应控制和非奇异快速终端滑模控制相结合,利用自适...为了改善音圈电机驱动系统的动态性能,课题组提出了一种全局自适应非奇异快速终端滑模控制策略。在非奇异快速终端滑模控制器的基础上,引入全局滑态因子,改善系统的瞬态响应;同时将自适应控制和非奇异快速终端滑模控制相结合,利用自适应控制可以根据系统的实时状态和外部干扰自动调整参数的特点,来减小扰动、提高系统的鲁棒性和抗干扰性;将控制律中的符号函数改为一种边界层的饱和函数来削弱振动;通过李亚普诺夫稳定性理论证明所提出的控制器的稳定性;最后,将全局自适应非奇异快速终端滑模控制与比例积分微分控制(proportional integral derivative,PID)和滑模控制(sliding mode control,SMC)进行仿真对比。结果表明:与PID控制和滑模控制相比,所提出的全局自适应非奇异快速终端滑模控制提高了系统的动态响应速度和控制精度,有效改善了系统的动态性能。展开更多
基金This work was partially supported by the National Natural Science Foundation of China(No.60504008).
文摘The robust stability and robust sliding mode control problems are studied for a class of linear distributed time-delay systems with polytopic-type uncertainties by applying the parameter-dependent Lyapunov functional approach combining with a new method of introducing some relaxation matrices and tuning parameters, which can be chosen properly to lead to a less conservative result. First, a sufficient condition is proposed for robust stability of the autonomic system; next, the sufficient conditions of the robust stabilization controller and the existence condition of sliding mode are developed. The results are given in terms of linear matrix inequalities （LMIs）, which can be solved via efficient interior-point algorithms. A numerical example is presented to illustrate the feasibility and advantages of the proposed design scheme.
文摘为了改善音圈电机驱动系统的动态性能,课题组提出了一种全局自适应非奇异快速终端滑模控制策略。在非奇异快速终端滑模控制器的基础上,引入全局滑态因子,改善系统的瞬态响应;同时将自适应控制和非奇异快速终端滑模控制相结合,利用自适应控制可以根据系统的实时状态和外部干扰自动调整参数的特点,来减小扰动、提高系统的鲁棒性和抗干扰性;将控制律中的符号函数改为一种边界层的饱和函数来削弱振动;通过李亚普诺夫稳定性理论证明所提出的控制器的稳定性;最后,将全局自适应非奇异快速终端滑模控制与比例积分微分控制(proportional integral derivative,PID)和滑模控制(sliding mode control,SMC)进行仿真对比。结果表明:与PID控制和滑模控制相比,所提出的全局自适应非奇异快速终端滑模控制提高了系统的动态响应速度和控制精度,有效改善了系统的动态性能。
