Design of fractional order proportional differentiation controller for second order position servo system

Sun, Jing; Wang, Chunyang; Xin, Ruihao

doi:10.1109/ccdc.2018.8408171

Cited by 5 publications

(2 citation statements)

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“…After few years, Podlubny proposed a fractional-order PID (FOPID) controller with two extra tuning parameters and also established its superiority over the integer order PID controller in terms of system performance and robustness [22]. The use of the FOC is prevalent to control the integer order plant [30], [18], [2], [24]. However, the FOC has also been employed to control the fractional-order plant [33], [9], [11], [19].…”

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confidence: 99%

“…The approximations of these two irrational terms are calculated using Table 1 and equation 15. Accordingly, the approximation of C δ (γ) and G OLδ (γ) are listed in Tables 2 and 3 The variations in the plant gain are evident from the prevailing literature to analyze the robustness of the overall controlled system with FOC [6], [17], [24]. Accordingly, the actual plant gain K =1 has been deviated up to the level of 80% to evaluate the robustness of the overall controlled system in delta-domain.…”

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confidence: 99%

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Discrete-time realization of fractional-order proportional integral controller for a class of fractional-order system

Swarnakar¹

2022

NACO

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The approximation of the fractional-order controller (FOC) has already been recognized as a distinguished field of research in the literature of system and control. In this paper, a two-step design approach is presented to realize a fractional-order proportional integral controller (FOPI) for a class of fractional-order plant model. The design goals are based on some frequency domain specifications. The first stage of the work is focused on developing the pure continuous-time FOC, while the second stage actually realizes the FOPI controller in discrete-time representation. The presented approach is fundamentally dissimilar with respect to the conventional approaches of z -domain. In the process of realizing the FOC, the delta operator has been involved as a generating function due to its exclusive competency to unify the discrete-time system and its continuous-time counterpart at low sampling time limit. The well-known continued fraction expansion (CFE) method has been employed to approximate the FOPI controller in delta-domain. Simulation outcomes exhibit that the discrete-time FOPI controller merges to its continuous-time counterpart at the low sampling time limit. The robustness of the overall system is also investigated in delta-domain.

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