一类复动力系统的自抗扰控制

ACTIVE DISTURBANCE REJECTION CONTROL FOR COMPLEX DYNAMICAL SYSTEMS

复动力系统的对象具有实部和虚部,且实部和虚部之间存在很强的耦合.用结构简单,解耦能力强的自抗扰控制器对一类复动力系统进行仿真研究,分别设计了单入单出控制系统和双入双出控制系统.仿真结果表明,自抗扰控制器可以将复动力系统中的耦合看做扩张状态进行实时估计和补偿,从而具有很好的解耦能力;在系统初始状态和控制器参数一致的情况下,所设计的两种控制系统可达到相同的控制效果.

The plants of complex dynamical systems consist of real part and imag- inary part and there exits strong coupling between them. In this paper, the active disturbance rejection controller which has simple structure and strong decoupling ability is applied in the control of six typical complex dynamical systems expressed in differential equations. Two control schemes of the systems are designed. One scheme treats the real part and imaginary part of the complex dynamical systems as a whole to design a single-input single-output control system, another scheme independently deals with the real part and imaginary part to design a two-input two-output control system. The simulation results show that the active disturbance rejection controller can achieve effective control for complex dynamical systems, and that the two con- trol schemes can achieve same control performance on the premise of the same initial system states and controller parameters.