Fractional-Order Tilt Integral Derivative Controller Design Using IMC Scheme for Unstable Time-Delay Processes

Ranjan, Anjana; Mehta, Utkal

doi:10.1007/s40313-023-01020-6

Cited by 7 publications

(2 citation statements)

References 41 publications

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“…Robust control of constrained systems is also solved using sliding mode control (SMC) [77][78][79][80][81][82][83], in which permanent oscillations can be deliberately imposed on the circuit, reminding constrained PIDA controllers with more aggressive settings. Similarly, comparisons with recent modifications of the Smith predictor would also be interesting [84,85]. Various applications in time-delayed systems [84,[86][87][88][89][90][91][92] and Industry 4.0 (as in [93]) are also envisioned.…”

Section: Discussionmentioning

confidence: 99%

Parametrization and Optimal Tuning of Constrained Series PIDA Controller for IPDT Models

Huba,

Bistak,

Vrancic

2023

Mathematics

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The new modular approach to constrained control of higher-order processes with dominant first-order dynamics using generalized controllers with automatic resets (ARCs) is addressed. The controller design is based on the multiple real dominant pole (MRDP) method for the integrator plus dead time (IPDT) process models. The controller output constraints are taken into account by inserting the smallest numerator time constant of the controller transfer function into the positive feedback loop representing the automatic reset (integral) term. In the series realization of the proportional–integral–derivative–acceleration (PIDA) controller (and other controllers with even derivative degree), the time constant mentioned is complex, so only the real part of the time constant has been used so far. Other possible conversions of a complex number to a real number, such as the absolute value (modulus), can be covered by introducing a tuning parameter that modifies the calculated real time constant and generalizes the mentioned conversion when designing controllers with constraints. In this article, the impact of the tuning parameter on the overall dynamics of the control loop is studied by simulation. In addition, an evaluation of the stability of the closed-loop control system is performed using the circle criterion in the frequency domain. The analysis has shown that the approximation of the complex zero by its real part and modulus leads to a near optimal response to the set point tracking. The disturbance rejection can be significantly improved by increasing the tuning parameter by nearly 50%. In general, the tuning parameter can be used to find a compromise between servo and regulatory control. The robustness and applicability of the proposed controller is evaluated using a time-delayed process with first-order dominant dynamics when the actual transfer function is much more complicated than the IPDT model. A comparison of the proposed MRDP-PIDA controller with series PI, PID and PIDA controllers based on a modified SIMC method has shown that the MRDP-PIDA controller performs better than the SIMC method, although the SIMC uses a more complex process model.

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Section: Discussionmentioning

confidence: 99%

Parametrization and Optimal Tuning of Constrained Series PIDA Controller for IPDT Models

Huba,

Bistak,

Vrancic

2023

Mathematics

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“…Consequently, integral performance metrics are widely adopted to evaluate the performance of a controller (Boudjehem & Boudjehem, 2016). Various integral performance metrics have recently been applied to craft fractional-order control systems (Das et al, 2012;Pan & Liu, 2016;Eshaghi & Tavazoei, 2023;Ranjan & Mehta, 2023). From this assortment of performance metrics, the integral absolute error (IAE) will be utilized in this study to minimize the error mentioned above and subsequently enhance the output voltage of the buck converter.…”

Section: Performance Index and Objective Functionmentioning

confidence: 99%

FOPID Controller Design for a Buck Converter System Using a Novel Hybrid Cooperation Search Algorithm with Pattern Search for Parameter Tuning

ERSALI,

HEKİMOĞLU

2023

Gazi University Journal of Science Part A: Engineering and Innovation

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This research introduces a novel metaheuristic algorithm, OCSAPS, representing an upgraded cooperation search algorithm (CSA) version. OCSAPS incorporates opposition-based learning (OBL) and pattern search (PS) algorithms. The proposed algorithm's application aims to develop a fractional order proportional-integral-derivative (FOPID) controller tailored for a buck converter system. The efficacy of the proposed algorithm is assessed by statistical boxplot and convergence response analyses. Furthermore, the performance of the OCSAPS-based FOPID-controlled buck converter system is benchmarked against CSA, Harris hawk optimization (HHO), and genetic algorithm (GA). This comparative analysis encompasses transient and frequency responses, performance indices, and robustness analysis. The outcomes of this comparison highlight the distinctive advantages of the proposed approach-based system. Moreover, the proposed approach's performance was compared with six other approaches used to control buck converter systems similarly regarding both time and frequency domain responses. Overall, the findings underscore the efficacy of the OCSAPS algorithm as a robust solution for designing FOPID controllers in buck converter systems.

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Stable Fractional-order Adaptive Sliding-based Control and Synchronization of two Fractional-order Duffing–Holmes Chaotic Systems

Tabasi,

Hosseini,

Houshmand

2024

J Control Autom Electr Syst

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Fractional-Order Tilt Integral Derivative Controller Design Using IMC Scheme for Unstable Time-Delay Processes

Cited by 7 publications

References 41 publications

Parametrization and Optimal Tuning of Constrained Series PIDA Controller for IPDT Models

Parametrization and Optimal Tuning of Constrained Series PIDA Controller for IPDT Models

FOPID Controller Design for a Buck Converter System Using a Novel Hybrid Cooperation Search Algorithm with Pattern Search for Parameter Tuning

Stable Fractional-order Adaptive Sliding-based Control and Synchronization of two Fractional-order Duffing–Holmes Chaotic Systems

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