首页> 外文会议>International Conference on Electromechanical and Power Systems >Design of a sliding mode controller to eliminate the limit cycle in chaotic Van der Pol system in comparison with state feedback controllers
【24h】

Design of a sliding mode controller to eliminate the limit cycle in chaotic Van der Pol system in comparison with state feedback controllers

机译:与状态反馈控制器相比,在混沌范德波系统中消除混沌范德波系统中的极限周期的设计

获取原文

摘要

In this paper sliding mode controller is designed in comparison with the linear state space feedback controllers namely the pole placement controller and linear quadratic regulator to eliminate the chaotic limit cycle oscillations in Van der Pol system induced by an external sinusoidal excitation in order to avoid failure in physical structures. The controller design is based on the mathematical model of the Van der Pol oscillator presented in this paper. The sliding mode controller is robust in chaotic motion as it achieves global asymptotic stability about an unstable equilibrium point which is the origin in contrast to the state feedback controllers which fail to achieve asymptotic stability about the origin. The lyapunov stability of the system is proved to ensure that the system hits the sliding surface in a global asymptotic sense. The sliding dynamics of the sliding surface is proved to exhibit finite time convergence to the origin. The dynamics of the sliding surface is examined for three different conditions of sliding surface coefficients. The validity of the design is verified through MATLAB /Simulink based simulations.
机译:在本文的滑动模式控制器中,与线性状态空间反馈控制器相比,设计了杆子放置控制器和线性二次调节器,以消除由外部正弦励磁引起的范德波系统中的混沌极限周期振荡,以避免失败物理结构。控制器设计基于本文介绍的范德波振荡器的数学模型。滑动模式控制器在混沌运动中是稳健的,因为它实现了关于一个不稳定的平衡点的全局渐近稳定性,这是与无法实现原点的渐近稳定性的状态反馈控制器相反的原点。证明了系统的Lyapunov稳定性,以确保系统在全球渐近感受中击中滑动表面。证明滑动表面的滑动动力学被证明是对原点的有限时间收敛。检查滑动表面的动态,用于三个不同的滑动表面系数条件。通过Matlab / Simulink基础模拟验证设计的有效性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号