具有扇区非线性和死区的混沌系统的跟踪控制

摘要

研究控制系统优化问题,由于系统具有扇区非线性和死区的混沌系统的跟踪控制,针对系统的稳定性和跟踪响应特性优化问题,首先通过滑模控制的方法,设计了一个时变滑模控制器并提出了控制规律.利用李雅普诺夫稳定性理论,证明了控制器能够有效的实现Duffing混沌系统的状态跟踪给定的充分光滑信号,Duffing混沌系统在时变滑模控制器下不受输入非线性、死区以及外部噪声等因素的影响.实验结果证明在死区原点对称和死区原点非对称情况下,控制器跟踪的有效性能满足系统的要求,为系统设计提供了支持.%This paper investigated tracking control of chaos system with sector nonlinear inputs containing dead zones. First, through the sliding mode control method, a controller was designed using time-varying sliding mode, and the control law was proposed. Second, the Lyapunov stability theory was used to show that the controller can ef fectively achieve that the Duffing chaotic system tracked the given smooth signal, With the time-varying sliding mode controller, Duffing chaotic system was not affected by input nonlinearity, dead-zone, and external noise factors. Fi nally , simulation experiments prove that under the cases of symmetric origin and asymmetric origin of the dead zone, the effectiveness of the controller can meet the demands of the system.