Nonlinear robust control for complex dynamical systems

The plants of complex dynamical systems consist of real part and imaginary part and there exits strong coupling between them. In this paper, the nonlinear robust controller 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 simulated results show that the nonlinear robust controller can achieve effective control for complex dynamical systems, and that the two control schemes can achieve same control performance on the premise of the same initial system states and controller parameters.