Oscillation conditions of nonlinear systems with static feedback
Oscillation conditions of nonlinear systems with static feedback
复制标题
DOI：
10.1007/s10513-005-0048-7
复制
发表时间：
2005-02-01
影响因子：
0.7
通讯作者：
Fradkov, AL
中科院分区：
文献类型：
--
作者：
Efimov, DV;Fradkov, AL
提出了在具有由静态非线性输出反馈包围的非线性标称部分的系统中雅库博维奇意义上的振荡特性的可用性的条件。制定了一种技术来计算系统振荡幅度的分析估计。建立了振荡幅度的估计和系统相对于输入的兴奋性指数之间的关系。给出了二阶和三阶系统的计算机建模示例，包括 Van der Pol 和 Lorentz 系统，证实了建议解决方案的适用性。
Conditions are proposed of the availability of the oscillation property in the sense of Yakubovich in a system with a nonlinear nominal portion enclosed by static nonlinear output feedback. A technique is worked out to calculate analytical estimates for the amplitude of oscillations in the system. The relation between estimates for the amplitude of oscillations and the index of excitability of the system with respect to the input is established. Examples are given of the computer modeling for systems of the 2nd and the 3rd order, including Van der Pol and Lorentz systems confirming the applicability of the suggested solutions.