Abstract
This paper introduces a new holder with application on digital control systems. This holder is a combination of fractional order hold (FROH) and zero-order hold (ZOH) that has the capability of both holders and a frequency response better than both of ZOH and FROH. For the stability of zeros of the sampled system two theorems are stated and proved with the assumption that the sampling period is very small. Also simulation results are studied to show the effectiveness of the proposed holder and better performance results in comparison with ZOH and FROH.
Highlights
In digital control systems, the output of the system is sampled by an analog-to-digital converter (ADC) and compared with digital reference inputs that are generated by the computer
This paper introduces a new holder with application on digital control systems
The output of the system is sampled by an analog-to-digital converter (ADC) and compared with digital reference inputs that are generated by the computer
Summary
The output of the system is sampled by an analog-to-digital converter (ADC) and compared with digital reference inputs that are generated by the computer. FROH is similar to first order hold (FOH) but has a variable slope [1], and due to an adjustable parameter, it has a suitable capability for placement of additional produced zeros [2] Holders such as ZOH and FOH which are used in digital control systems sometimes generate additional non-minimum-phase zeros in z-domain [2]. Using adjustable slope of holder in FROH, very small sampling time guarantees that additional generated zeros of the sampled systems are minimum-phase in the system with relative degrees of 0, 1, and 2. MFROH places additional generated zeros better than FROH and ZOH The number of these additional zeros depends on the relative degree of the system, and it is difficult to design a digital controller for systems with large relative degrees [3].
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