Realization of Fractional-Order Proportional Derivative Controller for a Class of Fractional-Order System in Delta Domain

Swarnakar, Jaydeep; Sarkar, Prasanta; Singh, L. Joyprakash

doi:10.1007/978-981-13-8618-3_32

Cited by 1 publication

(1 citation statement)

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“…It has been demonstrated that the selection of the discretization technique is the key factor for constructing resonant controllers [31]. In many simulations, the discretized controllers exhibited nearly identical frequency responses to those of the continuoustime controller [32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Archives of Electrical Engineering

Dewantoro,

Rizky,

Murtianta

2020

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With the rapid advancement of digital processors, filters have been commonly implemented using microcomputers. In this study, a low-cost and compact Arduino Uno development board was used to realize digital lead and lag compensators. Arduino boards are very affordable. Consequently, they were investigated to see if they were capable of preserving the frequency response of continuous-time compensators. The experiments required a set of equipment including a function generator, an Arduino Uno development board, a PC-based oscilloscope, and a laptop. The signal frequency was varied from 0 to 500 Hz. Two discretization methods were employed, namely bilinear transformation and matched pole-zero mapping. The results showed that an Arduino Uno board can be utilized to implement lead and lag compensators to some extent. The discrete-time compensator preserved the capability of filtering out certain frequencies. The change in DC gain was negligible, however, there was a significant difference in the cut-off frequency and transient slope. For both discretization methods, the frequency responses at high frequency experienced a rippling profile.

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