脉冲继电控制系统中的分频振荡
SUBHARMONIC OSCILLATIONS IN RELAY SAMPLED-DATA CONTROL SYSTEMS
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摘要: 本文讨论了脉冲继电系统中的分频振荡问题,列出了存在分频振荡的必要条件,并采用脉冲继电系统特性的概念,用图解法确定是否满足存在分频振荡的必要条件。分析证明,在脉冲继电系统中,即使继电器特性是对称的,在系统中仍可存在奇数的与偶数的分频振荡,也可以存在对称的与不对称的分频振荡。这是不同于继电系统中的情况的。一般说来,寄数的分频振荡比偶数的分频振荡比较容易存在,分频比值较小的比其较大的容易存在,对称的比不对称的容易存在。Abstract: In this paper the problem of subharmonic oscillations in relay sampled-data controlsystems is studied. It is found that for systems even with symmetrical relay charac-teristics, there is possibility to have both odd and even order subharmonic oscillations.Both symmetrical and non-symmetrical subharmonic oscillations are also possible to exist.The necessary conditions for having these subharmonic oscillations are formulated and agraphical method for their examination is proposed.
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