Tuning of Fractional Order PI λ D μ Controllers using Evolutionary Optimization for PID Tuned Synchronous Generator Excitation System

Kumar, Lalitesh; Kumar, Prawendra; Satyajeet,; Narang, Deepak

doi:10.1016/j.ifacol.2018.06.121

Cited by 13 publications

(8 citation statements)

References 9 publications

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“…The MOOP formulation and its solution can be obtained in the following three ways: The multi‐objective problems consisting of two or more conflicting performance indices generates a set of non‐dominated solutions by making trade‐offs between objective functions. These nondominated solutions can be obtained in the form of Pareto optimal fronts 22,24 The one way to formulate the conflicting vector valued problem is to normalize the vector along the y ‐axis, which represent the common y ‐axis's of the optimization problem

$$ {F}_{\mathrm{opt}.}

…”

Section: Proposed Methodologymentioning

confidence: 99%

“…A reduced order LQG/LTR controller has been proposed by using Kalman filter toward output side of the plant for the nonminimum phase systems, however, the LTR will be done with full order assumptions 21 . Design of cascaded FO PID‐IO PID was formulated as a multi‐objective problem for minimization of control effort and ISE to achieve the robust stability 22 . Discrete PID based on the LQR with fractional order integral performance index (PI) and real coded genetic algorithm (GA) optimized weighting matrices 23 .…”

Section: Introductionmentioning

confidence: 99%

“…21 Design of cascaded FO PID-IO PID was formulated as a multi-objective problem for minimization of control effort and ISE to achieve the robust stability. 22 Discrete PID based on the LQR with fractional order integral performance index (PI) and real coded genetic algorithm (GA) optimized weighting matrices. 23 A novel LQG/LQR controller design based on multi-objective formulation has been proposed, in which the problem was formulated and solved by making trade-off between multiple objectives in time as well as frequency domain.…”

Section: Introductionmentioning

confidence: 99%

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Fractional‐order filter‐based enhanced full state feedback control design with multi‐objective formulation using grey wolf optimization algorithm

Kumar

Dhillon

Kumar³

2022

Optim Control Appl Methods

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A perturbed fractional-order filter (FOF)-based LQR control design with multiple performance indices is proposed in this paper. Three variants of the FOF-based linear quadratic regulator (LQR) system have been proposed along with choices on the commensurate order of state feedback law. The multi-objective problem formulation has been done with three performance objectives to address the different issues of design. The first performance index constitutes a weighted sum of ITAE (Integral Time of Absolute Error) and the difference between the eigenvalues of the plant and the LQR controlled plant, chosen to minimize the large oscillations as well as relative stability with respect to eigenvalues. A new lower bound of the singular values have been addressed to ensure the robust stability of the system through the formulation of a second performance objective. It is the minimization of singular values of the return ratio matrix at the plant's input. The third and the last performance index aims minimization of maximum singular values of the perturbation transfer function at the plant's output, so as to guarantee no closed-loop right half plane zeros. The multi-objective optimization problem is solved and the optimal solutions are obtained via Grey Wolf Optimization Algorithm. The simulation results validate the performance and effectiveness of the proposed control design.

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$$ {F}_{\mathrm{opt}.}

…”

Section: Proposed Methodologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fractional‐order filter‐based enhanced full state feedback control design with multi‐objective formulation using grey wolf optimization algorithm

Kumar

Dhillon

Kumar³

2022

Optim Control Appl Methods

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“…In adaptive stabilization for generator excitation system, the possibility of application of the model reference adaptive control theory for stabilizer design is analyzed in Ritonja (2011). For a synchronous generator excitation system, the design of cascaded integer order PID-fractional order PID controller by evolutionary multi-objective-based optimization approach is presented in Kumar et al (2018).…”

Section: Introductionmentioning

confidence: 99%

Delay margin computation of generator excitation control system by using fractional order controller

Erol

2020

Transactions of the Institute of Measurement and Control

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This article is devoted to stability analysis of generator excitation control system that has some time delay with fractional order proportional integral derivative controller by using direct method. When the time delay exceeds certain critical values, the excitation control system becomes unstable. In order to obtain more delay margin, in control part of the system, fractional order proportional integral derivative controller is used. A formulation is obtained to find out the maximum time delay which is known as delay margin with which the system can tolerate without any loss in its stability. All the possible stability regions analytically in the parametric space of the time delay is obtained by using an exact method and it is presented in this study. The method is formulated in frequency domain. The time-domain simulations are implemented to validate theoretical delay margin results in Matlab/Simulink. When it is compared with previous researches in literature, better stability margin is obtained. The results have shown that fractional order PID controller gives wide stability area than integer order PID controller.

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“…Although there are some genetic and evolutionary optimization algorithms [21], heuristic algorithms such as particle swarm [22,23] and group hunting [24], designing fractional-order PID controllers in time domain [25][26][27][28][29][30]…”

Section: Introductionmentioning

confidence: 99%

Universal Design Equations for Fractional Order PID Control of Plants with Time Delay

Köksal

2019

Çukurova Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

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Some all-purpose design equations are derived for designing fractional order controllers for integer order plants with time delay. The results combine many design techniques appearing in the literature. In addition to plotting the global stability boundaries, they can be used to achieve desired gain and phase margins with a flat phase response near the gain cross over frequency. So, robustness can also be guaranteed. Further, satisfactory output disturbance and high frequency noise rejections can be realizable. An example is treated to make connections with the already existing results in the literature, which proves the usability of the obtained design equations.

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Tuning of Fractional Order PI λ D μ Controllers using Evolutionary Optimization for PID Tuned Synchronous Generator Excitation System

Cited by 13 publications

References 9 publications

Fractional‐order filter‐based enhanced full state feedback control design with multi‐objective formulation using grey wolf optimization algorithm

Fractional‐order filter‐based enhanced full state feedback control design with multi‐objective formulation using grey wolf optimization algorithm

Delay margin computation of generator excitation control system by using fractional order controller

Universal Design Equations for Fractional Order PID Control of Plants with Time Delay

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