A Simple Frequency-domain Tuning Method of Fractional-order PID Controllers for Fractional-order Delay Systems

Li, Xu; Gao, Lifu

doi:10.1007/s12555-021-0206-x

Cited by 9 publications

(2 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Systems expressed with time-delayed plants are widely used in the literature. First, second, or third-order time-delay plants successfully represent real processes [8], [10]- [13]. Different controller design strategies for different plants have been offered, with fractional order controllers demonstrating their benefits [14]- [17].…”

Section: Pd (Fopd)mentioning

confidence: 99%

Fractional order PD controller design for third order plants ıncluding time delay

Demiroğlu¹,

Senol²,

Matušů³

2023

Pamukkale J Eng Sci

View full text Add to dashboard Cite

Due to the lack of integral operator, proportional derivative controllers have difficulties in providing stability and robustness. This difficulty is especially felt in higher order systems. In this publication, analytical design method of fractional proportional derivative controllers is presented to ensure the stability of third order systems with time delay. In this method, it is aimed to achieve the frequency characteristics of a standard control system to ensure stability. It is aimed to provide the desired gain crossover frequency, phase crossover frequency and phase margin properties of the system. In this way, the stability and robustness of the system can be obtained by choosing the appropriate values. The reason for choosing a fractional order controller is that the controller parameters to provide these features can be tuned more accurately. In order for the obtained stability to be robust to unexpected external effects, it is aimed to flatten the system phase. In the literature, phase flattening is performed by setting the phase derivative to zero at a specified frequency value. This can lead to mathematical complexity. In this publication, the phase flattening process is provided graphically by correctly selecting the frequency characteristics given above. Thus, an accurate and reliable controller design method is presented, avoiding mathematical complexity. The effectiveness of the proposed method has been demonstrated on three different models selected from the literature. The positive contribution of the method to the system robustness has been proven by changing the system gain at certain rates.

show abstract

Section: Pd (Fopd)mentioning

confidence: 99%

Fractional order PD controller design for third order plants ıncluding time delay

Demiroğlu¹,

Senol²,

Matušů³

2023

Pamukkale J Eng Sci

View full text Add to dashboard Cite

show abstract

“…Ziegler and Nichols designed one of the most well-known vehicle tuning methods [10]. It may be used to a wide range of study fields, such as neural networks, signal processing, thermal diffusion, chaotic systems, viscoelasticity, and mechatronic systems [11]- [17]. It is an essential instrument for providing a detailed description of real-world physical processes.…”

mentioning

confidence: 99%

Controlling Complex Fractional Order Systems with the PID Controller

2023

Proceeding Book of 2nd International Conference on Contemporary Academic Research ICCAR 2023

View full text Add to dashboard Cite

This paper focuses on the Fractional Complex Order Plant (FCOP) plant model, which has recently acquired favor in applied physics and control systems. The consideration of the physical phenomena of complex plant models and how they impact the stability and durability of the systems is the main addition of this recommended research to the literature. Because the FCOP plant model is the most generic mathematical form, covering the Integer Order Plant (IOP) and Fractional Order Plant (FOP) models, other plant models may be readily developed with this benefit. The physical changes of the computational equations produced with the proposed approach and the suggested IOPID controller are seen for fractional complex order plants. The effects of the factors on the system are investigated alongside simulation values. For the plant type, the benefits and drawbacks of the chosen controller setup can also be discussed.

show abstract

Optimized Fuzzy Fractional-order Controller for a Nonlinear Chaos System With Period-doubling Bifurcation Analysis

Moustafa,

Abou-Zalam,

Sobaih

et al. 2023

Int. J. Control Autom. Syst.

View full text Add to dashboard Cite

A Simple Frequency-domain Tuning Method of Fractional-order PID Controllers for Fractional-order Delay Systems

Cited by 9 publications

References 37 publications

Fractional order PD controller design for third order plants ıncluding time delay

Fractional order PD controller design for third order plants ıncluding time delay

Controlling Complex Fractional Order Systems with the PID Controller

Optimized Fuzzy Fractional-order Controller for a Nonlinear Chaos System With Period-doubling Bifurcation Analysis

Contact Info

Product

Resources

About