论文部分内容阅读
为了实现对Rssler混沌系统的控制,使得系统的状态变量在有限时间内达到平衡点,将Rssler混沌系统作为控制对象,提出了一种自适应滑模变结构控制策略,主要包括滑模面设计和自适应滑模控制率的设计。设计了一种比例积分滑模面,并通过李雅普诺夫稳定性理论证明了滑模动态方程的稳定性,为解决滑模控制器抖振问题设计了参数自适应的趋近律,有效地消除了滑模控制器的抖振。仿真结果显示,经自适应滑模控制后的Rssler混沌系统状态能快速稳定地收敛到平衡点,并消除了控制器的抖振。结果证明该方法有效地实现了Rssler混沌系统的控制,并具有良好的动态性能。
In order to control the Rssler chaotic system and make the system state variables reach the equilibrium point in a finite time, an adaptive sliding mode variable structure control strategy is proposed based on the Rssler chaotic system. The main control strategies include sliding Die design and adaptive sliding mode control rate design. A kind of proportional integral sliding mode surface is designed. The stability of the sliding mode dynamic equation is proved by the Lyapunov stability theory. In order to solve the chattering problem of the sliding mode controller, a self-adaptive approach law is designed to effectively eliminate Chattering of sliding mode controller. The simulation results show that the state of the Rssler chaotic system after adaptive sliding mode control can quickly and stably converge to the equilibrium point and eliminate the chattering of the controller. The results show that this method effectively realizes the control of the Rssler chaotic system and has good dynamic performance.