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简述了混沌的基本特性,主要目的是总结谐波平衡原理对非线性控制系统中混沌运动的预测方法,阐述混沌理论对非线性控制理论研究所产生的影响:由于控制理论界长期受到线性控制思想的影响,经常认为当控制系统的有些极点具有正实部时系统就是发散的,现在看来,这一观点在非线性控制系统中却不是完全正确的.通过仿真的方法分析了一类非线性反馈控制系统的动力学行为,得出了如下结论:这类系统在满足一定参数条件下,随着滤波特性的由弱到强,系统的最终动力学行为是依次按着不稳定的发散态、混沌态、稳定的周期态、平衡态的顺序变化的。
The main purpose of this paper is to summarize the principle of harmonic balance for the prediction of chaos in nonlinear control systems and to explain the influence of chaos theory on the research of nonlinear control theory. Since the control theory community has long been subject to linear control Thought, it is often assumed that the system diverges when some poles of the control system have positive real parts. Now it seems that this view is not entirely correct in nonlinear control systems. The dynamic behavior of a class of nonlinear feedback control system is analyzed through simulation. The conclusion is drawn as follows: Under the condition of satisfying certain parameters, with the weak to strong filtering characteristics, the final dynamic behavior of the system Is in turn followed by unstable divergent, chaotic, stable periodic, equilibrium order changes.