Robust Stability Analysis of Interval Fractional-Order Plants With Interval Time Delay and General Form of Fractional-Order Controllers

Ghorbani, Majid; Tavakoli-Kakhki, Mahsan; Tepljakov, Aleksei; Petlenkov, Eduard; Farnam, Arash; Crevecoeur, Guillaume

doi:10.1109/lcsys.2021.3091525

Cited by 23 publications

(15 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The integral and derivative terms of the classical PID controller are modified into non-integer terms with two additional parameters (λ and µ). So, the fractional order proportional integral derivate (PIλDµ) controller will have two extra tuning parameters by which robustness and better controller performance could be achieved specifically for non-linear and complex systems [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Maximum Power Extraction Control Algorithm for Hybrid Renewable Energy System

Kanagaraj¹,

Alansi²

2023

Computer Systems Science and Engineering

View full text Add to dashboard Cite

In this research, a modified fractional order proportional integral derivate (FOPID) control method is proposed for the photovoltaic (PV) and thermoelectric generator (TEG) combined hybrid renewable energy system. The faster tracking and steady-state output are aimed at the suggested maximum power point tracking (MPPT) control technique. The derivative order number (µ) value in the improved FOPID (also known as PI λ D µ ) control structure will be dynamically updated utilizing the value of change in PV array voltage output. During the transient, the value of µ is changeable; it's one at the start and after reaching the maximum power point (MPP), allowing for strong tracking characteristics. TEG will use the freely available waste thermal energy created surrounding the PV array for additional power generation, increasing the system's energy conversion efficiency. A high-gain DC-DC converter circuit is included in the system to maintain a high amplitude DC input voltage to the inverter circuit. The proposed approach's performance was investigated using an extensive MATLAB software simulation and validated by comparing findings with the perturbation and observation (P&O) type MPPT control method. The study results demonstrate that the FOPID controller-based MPPT control outperforms the P&O method in harvesting the maximum power achievable from the PV-TEG hybrid source. There is also a better control action and a faster response.

show abstract

Section: Introductionmentioning

confidence: 99%

Maximum Power Extraction Control Algorithm for Hybrid Renewable Energy System

Kanagaraj¹,

Alansi²

2023

Computer Systems Science and Engineering

View full text Add to dashboard Cite

show abstract

“…Many fields, particularly engineering, biology, physics, and medicine, have expanded their usage of FOCs in recent years [13][14][15]. The accurate model of a real-time system can be developed with the help of FOC, which is necessary to achieve precise and reliable control action.…”

Section: Introductionmentioning

confidence: 99%

An Adaptive Neuro-Fuzzy Inference System to Improve Fractional Order Controller Performance

Kanagaraj¹

2023

Intelligent Automation &Amp; Soft Computing

View full text Add to dashboard Cite

The design and analysis of a fractional order proportional integral derivate (FOPID) controller integrated with an adaptive neuro-fuzzy inference system (ANFIS) is proposed in this study. A first order plus delay time plant model has been used to validate the ANFIS combined FOPID control scheme. In the proposed adaptive control structure, the intelligent ANFIS was designed such that it will dynamically adjust the fractional order factors (λ and µ) of the FOPID (also known as PI λ D µ ) controller to achieve better control performance. When the plant experiences uncertainties like external load disturbances or sudden changes in the input parameters, the stability and robustness of the system can be achieved effectively with the proposed control scheme. Also, a modified structure of the FOPID controller has been used in the present system to enhance the dynamic performance of the controller. An extensive MATLAB software simulation study was made to verify the usefulness of the proposed control scheme. The study has been carried out under different operating conditions such as external disturbances and sudden changes in input parameters. The results obtained using the ANFIS-FOPID control scheme are also compared to the classical fractional order PI λ D µ and conventional PID control schemes to validate the advantages of the controllers. The simulation results confirm the effectiveness of the ANFIS combined FOPID controller for the chosen plant model. Also, the proposed control scheme outperformed traditional control methods in various performance metrics such as rise time, settling time and error criteria.

show abstract

“…In [23,24], Fractional-Order Proportional Integral Derivative (FOPID) controllers were designed to improve the robustness property of first order in addition to dead time systems. Then, in [25,26], some auxiliary functions have been presented for robust stability analysis of interval fractional order systems having time-delay. Moreover, in [27], a graphical tuning method has been proposed to determine the stabilizing regions of FOPI controllers for fractional systems with time-delays by benefiting from the D-decomposition technique.…”

Section: Introductionmentioning

confidence: 99%

Robust Stability Analysis of Unstable Second Order Plus Time-Delay (SOPTD) Plant by Fractional-Order Proportional Integral (FOPI) Controllers

Asadi

Farnam

Nazifi³

et al. 2022

Mathematics

Self Cite

View full text Add to dashboard Cite

This study investigates the robust stability analysis of an unstable second order plus time-delay (SOPTD) plant by using Fractional-Order Proportional Integral (FOPI) controllers. We assume that there are simultaneous uncertainties in gain, time-constants, and time-delay of the plant. At first, a graphical method is provided for a robust stability analysis of the closed-loop system. Then, a robust stability checking function is introduced to facilitate the robust stability analysis. Additionally, new bounds are presented to reduce the computational burden for the robust stability analysis. Finally, two examples are provided to show the correctness of the proposed method.

show abstract

Robust Stability Analysis of Interval Fractional-Order Plants With Interval Time Delay and General Form of Fractional-Order Controllers

Cited by 23 publications

References 19 publications

Maximum Power Extraction Control Algorithm for Hybrid Renewable Energy System

Maximum Power Extraction Control Algorithm for Hybrid Renewable Energy System

An Adaptive Neuro-Fuzzy Inference System to Improve Fractional Order Controller Performance

Robust Stability Analysis of Unstable Second Order Plus Time-Delay (SOPTD) Plant by Fractional-Order Proportional Integral (FOPI) Controllers

Contact Info

Product

Resources

About