一类混合混沌系统的无源控制

Passive control of hybrid chaotic dynamical systems

针对一类复杂的混合混沌动力学系统,研究系统的无源控制问题.根据无源性网络理论,分析了将混合混沌系统等效为无源系统的基本条件;在此基础上,设计混沌动力学系统的状态反馈控制器,实现最小相位混沌系统和弱最小相位混沌系统在任意平衡点上的渐近稳定.研究表明,利用等效无源控制策略对系统中的混沌行为实行切换控制,可以消除系统中的混沌运动,降低系统自激振动的危害,实现系统的快速稳定.

Chaotic control in the hybrid chaotic system was discussed using the passive control theory. Based on the property of passive system, the essential conditions under which the hybrid chaotic system could be equivalent to a passive system via smooth state feedback were derived. It was found that weakly minimum phase and minimum phase nonlinear system had relative degree 1, which was transformed by the hybrid chaotic system. They could be globally asymptotically stabilized at different equilibrium points, provided that suitable controllability, such as rank conditions, were satisfied. Simulation results indicate that the proposed chaos control method is effective in hybrid chaotic systems.