Design Of Fractional Order PID Research Articles

Fractional Order PID Design Using Big Bang–Big Crunch Algorithm and Order Reduction: Application to Load Frequency Control

—A new technique for tuning a fractional order proportional integral derivative (FOPID) controller is presented and analyzed for load frequency control of power systems. The proposed technique involves model order reduction for model simplification, internal model control for initial estimation of PID gains to formulate a compact solution space required for big bang–big crunch (BB–BC) algorithm, which ascertains optimal FOPID parameters in the search space delineated via IMC technique. The beauty of the proposed approach is that it gives an innovative way to incorporate soft computing algorithms in control applications in such a manner that leads to reduction in randomness associated with heuristic techniques. To validate the effectiveness of the proposed scheme, it is implemented on a power system comprising of reheated turbine and a realistic model of IEEE 10 machine 39 bus New England system in presence of nonlinearities. A comprehensive comparative analysis with other recent controller design techniques, conducted in terms of simulation plots, performance indices and statistical parameters is a testimony to efficacy of proposed technique.

Design of Fractional Order PID (FOPID)for Load Frequency Control Via IMC & Grey Wolf Algorithm (GWO), for a Non-Reheated Power System by Comparing with the Big Bang Big Crunch (BBBC) Optimization

In this paper work deals about the application of Grey Wolf Optimizer (GWO) for optimization of fractional order PID (FOPID) controlling device to the frequency disturbance, of system load in the one (or) single area non re-heated electrical system and also comparison to the non re-heated BBBC optimization outputs. In this BBBC optimization we have the two bounding cases (low & upper), they are before and after the perturbation cases. And also we observed that the BBBC output responses. After finding the BBBC outputs we observed that the settling time value of load frequency of BBBC is more when compared with the GWO. This problem is resolved by designing of FOPID via GWO algorithm. The Grey Wolf Optimization is well known meta-heuristic algorithm and has been previously used for optimization of various conventional PID and FOPID controllers. In this paper the GWO is used for optimization of FOPID controller to the load frequency variation in the electrical system for non reheated turbine electrical system .the execution outputs of the proposed controlled method also validated to the other existing techniques.

Application of FOPID Design for LFC Using Flower Pollination Algorithm for Three-Area Power System

In power system, frequency is one of the main factor which affects the A.C. system. In order to maintain the performance of the system, frequency need to be controlled on the generation part as well as load side. In this paper, fractional order PID (FOPID) controller is designed for the three-area load frequency control (LFC) in an interrelated power system (PS) in MATLAB simulation. The LFC of generating units have used in frequency control of the dissolute response in the power system. FOPID controller parameters are intended using the Flower Pollination Algorithm (FPA) for the minimize error. The prototype of generating units with FOPID controller is simulated in MATLAB/SIMULINK platform. In this study, simulation researches on a three-area LFC with different generating units are considered. The objective function is the minimization of the Integral Squared Error (ISE) for the optimum strategy of FOPID parameters. These results presented that the FOPID controller was vital to the parameter variations in the considered system. The simulation results specialized much better performance of FOPID controller for LFC in comparison with other FOPID controllers available in the literature. FPA-FOPID Controller in the system as compared to the existing ICA-FOPID and GA-FOPID controller in literature. The result shows that the FPA result outperforms as compared with other results.

Fractional-Order PID Controller Design for Time-Delay Systems Based on Modified Bode’s Ideal Transfer Function

This paper proposes a design method for a robust fractional-order PID (FOPID) controller for time-delay systems. A new Bode's ideal transfer function is introduced to tolerance the time-delay in loop. Robust stability is analyzed for the Bode's model in terms of gain and phase margins to help the parameter tuning. To simplify FOPID design from solving nonlinear equations, five unknown parameters are reduced to one in the Bode shaping by data fitting between a parametric model and the real plant. Then, the problem is simply solved by one-dimensional searching. Furthermore, the proposed FOPID controller design is extended to multi-input and multi-output (MIMO) systems by using disturbance observer (DOB). Finally, simulation results are presented to show the effectiveness of the proposed method.

Comparative Performance Evaluation of Fractional Order PID Controller for Heat Flow System Using Evolutionary Algorithms

The main objective of the paper is to design of Fractional order PID (FOPID) controller for heat flow system using evolutionary algorithms. The recent developed metaheuristic algorithms such as Ant Lion Optimizer (ALO), Grey Wolf Optimizer (GWO) and Moth Flame Optimizer (MFO) are used in the FOPID design. The FOPID design for heat flow system is formulated as an optimization problem to minimize different indices error such as Integral Absolute Error (IAE), Integral Squared Error (ISE), Integral Time Absolute Error (ITAE), Integral Time Squared Error (ITSE). The evolutionary algorithm based FOPID control performances are compared with PID control performance for the heat flow system. In addition, the proposed methods have superiority value in terms of transient and frequency domain analysis than the traditional and PID methods. Comparative performance evaluation of meta-heuristic based FOPID design for heat flow system has not carried out before.

A Set-point Filter Type 2DOF Fractional Order PID Control System Design Scheme for Improved Disturbance Rejection Control

Many works have revealed that non-integer order dynamics is a better representation of real-world systems compared to integer order dynamics. Then, fractional-order modeling and control has become a major topic of control system researches during last two decades. To benefit contributions of fractional-order dynamics in controller response, fractional-order PID (FOPID) controllers have been considered as a substitute of conventional PID controllers and many study reported the control performance improvements provided by FOPIDs. Later, performance of closed loop FOPID control systems can be further improved by additional blocks. This study presents a 2DOF FOPID control system design scheme involving a set-point filter for improved disturbance rejection and set-point control performance. This design scheme performs tuning of a FOPID controller and a first order pre-filter function as a set-point filter. Here, the pre-filter function is employed to deal with a design tradeoff appearing between disturbance rejection performance and step control performance. Coefficients of FOPID controller and the pre-filter are concurrently adjusted by a modified random search algorithm to find out an optimal set-point filter type 2DOF FOPID design that can provide an improved step performance with a higher disturbance rejection. Illustrative examples are presented to demonstrate results of the proposed metaheuristic design schema.

Fractional-order PID design: Towards transition from state-of-art to state-of-use

This paper presents a new tuning method for fractional-order (FO)PID controllers to simplify current tuning and make FOPID controllers more convenient for industry, i.e. facilitate transition from state-of-art to state-of-use. The number of tuning parameters is reduced from five to three based on popular specification settings for PID controllers without the need for reduced process models which introduce modeling errors. A test batch of 133 simulated processes and two real-life processes are used to test the presented method. A comparative study between the new method and the established CRONE controller, quantifies the performance. The conclusion states that the new method gives fractional controllers with similar performances as the current methods but with a significantly decreased tuning complexity making FOPID controllers more acceptable to industry.

Optimal Design of Robust Fractional Order PID for the Flight Control System

algorithms for the optimization of the real world problems like pitch control of an aircraft system. This paper introduces Bat algorithm and Differential Evolution technique for the multi-objective optimization based designing of the fractional order PID (FOPID) and integer order PID controllers. The optimized values obtained from the techniques have been implemented for the Pitch control of an aircraft system to obtain the desired robust response. In this paper a mixed sensitivity H∞ problem is designed and simulated using Matlab. It has been shown that the design of FOPID using multi-objective bat algorithm gives better results than others.

Fractional order PID Design using the Taguchi method

<p>This paper presents a gain-tuning scheme for Fractional order PID control systems using the Taguchi method. A prismatic series elastic actuator is selected as an experimental set-up. An optimal controller gains has been obtained through a series of experiments suggested by the Taguchi method. Four stages of tuning are performed in order to accurately tune the controller gains. It is shown that when performance of the proposed controller is compared with two additional controllers: a traditional FOPID tuned with Ziegler-Nichols (Z-N) method and a PID tunned with genetic algorithm, a 94% and 84% improvements in position error is observed, respectively.</p>

Design of Fractional Order PID controller for dc motor using Genetic Algorithm

Design of fractional order PID (FOPID) controller for DC motor is proposed in this paper. A FOPID (PI λ D μ ) is a PID controller whose derivative and integral orders are fractional numbers rather than integers. Design stage of such controller consists of determining six parameters – proportional constant (K p ), integral constant (K i ), derivative constant (K d ), filter time constant (τ d ), integral order (λ) and derivative order (μ). The proposed approach poses the problem as designing a DC motor speed controller on the concept of fixed structure robust controller and mixed sensitivity H ∞ method. The uncertainty caused by the parameter changes of motor resistance, motor inductance and load are formulated as multiplicative uncertainty weight, which are used in the objective function in the design. Genetic Algorithm (GA) and Simulated Annealing (SA) are employed to carry out the aforementioned design procedure. Comparisons are made with a PID with derivative first order filter controller and it is shown that the proposed FOPID controller can highly improve the system robustness with respect to model uncertainties. The comparison of PID and FOPID controllers is also been done on the basis of Time Domain Performance index i.e. ISE (Integral of Square Error). http://dx.doi.org/10.11591/telkomnika.v12i12.6470