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The Application of Z-Transform Theory to the Analysis of Switched-Type Nonlinear Systems

机译:Z变换理论在开关型非线性系统分析中的应用

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摘要

The stability of certain discontinuous feedback systems is analyzed by using the z-transform theory. In the z plane, a system which is equivalent to the nonlinear system under steady-state conditions can be found, as well as the existence of any limit cycle, together with the frequency at which it occurs. An intuitive argument for the stability of a limit cycle is also presented, several examples are worked, and the results compared with those obtained by other methods. The z-transform method is exact and is not restricted by the order of the system.
机译:通过使用z变换理论分析了某些不连续反馈系统的稳定性。在z平面中,可以找到一个等效于稳态条件下的非线性系统的系统,以及任何极限环的存在以及它出现的频率。还给出了极限循环稳定性的直观论据,并列举了几个实例,并将结果与​​其他方法得出的结果进行了比较。 z转换方法是精确的,不受系统顺序的限制。

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