scholarly journals Fractional-Order Approximation of PID Controller for Buck–Boost Converters

Micromachines ◽  
2021 ◽  
Vol 12 (6) ◽  
pp. 591
Author(s):  
Allan G. Soriano-Sánchez ◽  
Josué Soto-Vega ◽  
Esteban Tlelo-Cuautle ◽  
Martín Antonio Rodríguez-Licea
Keyword(s):  
Fractional Order ◽  
Closed Loop ◽  
Order Approximation ◽  
Phase Curve ◽  
Laplacian Operator ◽  
Experimental Realization ◽  
Loop Control ◽  
Boost Converters ◽  
Tuning Method ◽  
Control Diagram

Viability of a fractional-order proportional–integral–derivative (PID) approximation to regulate voltage in buck–boost converters is investigated. The converter applications range not only to high-power ones but also in micro/nano-scale systems from biomedicine for energy management/harvesting. Using a classic closed-loop control diagram the controller effectiveness is determined. Fractional calculus is considered due to its ability at modeling different types of systems accurately. The non-integer approach is integrated into the control strategy through a Laplacian operator biquadratic approximation to generate a flat phase curve in the system closed-loop frequency response. The controller synthesis considers both robustness and closed-loop performance to ensure a fast and stable regulation characteristic. A simple tuning method provides the appropriate gains to meet design requirements. The superiority of proposed approach, determined by comparing the obtained time constants with those from typical PID controllers, confirms it as alternative to controller non-minimum phases systems. Experimental realization of the resulting controller, implemented through resistor–capacitor (RC) circuits and operational amplifiers (OPAMPs) in adder configuration, confirms its effectiveness and viability.

scholarly journals Closed loop control of DC-DC converters using PID and FOPID controllers

2020 ◽  
Vol 11 (3) ◽  
pp. 1323
Author(s):  
Aseem K ◽  
Selva Kumar S
Keyword(s):  
Fractional Order ◽  
Closed Loop ◽  
Pid Controllers ◽  
Closed Loop Control ◽  
Power Electronic ◽  
Power Electronic Converters ◽  
Loop Control ◽  
Boost Converters ◽  
Single Output ◽  
Fractional Order Pid

Fractional order controllers are nowadays used in various power electronic converters as it is giving superior control performance compared with conventional PID controllers. This paper presents the closed loop control of different DC-DC converters using PID controllers and Fractional Order PID (FOPID) controllers. The closed loop control of the basic converters such as buck, boost, buck-boost converters and dual input single output DC-DC converters were designed, modeled and analyzed using conventional PID controller and FOPID controllers. The performance of the controllers are compared in terms of the different time domain specifications like overshoot, rise time, settling time, etc. and simulated in MATLAB Simulink platform. For all types of the DC-DC converters, FOPID controller gives far better performance compared with conventional PID controllers.

scholarly journals Experimental Validation of Voltage Regulation in Buck Converters through Fractional-Order PID Approximation

2021 ◽  
Vol 3 (1) ◽  
pp. 44-51
Author(s):  
Josué Soto-Vega ◽  
Allan G. S. Sánchez
Keyword(s):  
Fractional Order ◽  
Experimental Validation ◽  
Closed Loop ◽  
Voltage Regulation ◽  
Phase Curve ◽  
Pid Controllers ◽  
Laplacian Operator ◽  
Buck Converters ◽  
Parameter Variations ◽  
Fractional Order Pid

Viability of a fractional-order PID approximation regulating voltage in buck converters through a single control loop is investigated. Fractional calculus approach is suggested due to it exhibits good robustness against parameter variations. The non-integer approach is integrated in the control strategy through a Laplacian operator biquadratic approximation to generate a flat phase curve in the system closed-loop frequency response, which results in the generation of the iso-damping characteristic. The synthesis and tuning process consider both robustness and closed-loop requirements to ensure a fast and stable regulation characteristic. Experimental data obtained with the resulting controller, which was easy implemented through RC circuits and OPAMPs in adder configuration, confirmed its effectiveness. Superiority of proposed approach, which is determined through a comparison with typical PID controllers, confirms its viability to be used in highly efficient converters, such as Silicon-Carbide ones.

Adaptive synchronization of uncertain fractional-order chaotic systems using sliding mode control techniques

2019 ◽  
Vol 234 (1) ◽  
pp. 3-9 ◽  
Author(s):  
Bahram Yaghooti ◽  
Ali Siahi Shadbad ◽  
Kaveh Safavi ◽  
Hassan Salarieh
Keyword(s):  
Control System ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Closed Loop ◽  
Sliding Mode ◽  
Closed Loop Control ◽  
Loop Control ◽  
Closed Loop Control System ◽  
Loop Control System

In this article, an adaptive nonlinear controller is designed to synchronize two uncertain fractional-order chaotic systems using fractional-order sliding mode control. The controller structure and adaptation laws are chosen such that asymptotic stability of the closed-loop control system is guaranteed. The adaptation laws are being calculated from a proper sliding surface using the Lyapunov stability theory. This method guarantees the closed-loop control system robustness against the system uncertainties and external disturbances. Eventually, the presented method is used to synchronize two fractional-order gyro and Duffing systems, and the numerical simulation results demonstrate the effectiveness of this method.

A New Small-Signal AC Model and Closed Loop Control of a Three-Phase Interleaved Boost Converter

2018 ◽  
Vol 9 (1) ◽  
pp. 240
Author(s):  
H.V.Gururaja Rao ◽  
Karuna Mudliyar ◽  
R.C. Mala
Keyword(s):  
Solar Energy ◽  
Closed Loop ◽  
Boost Converter ◽  
Closed Loop Control ◽  
Phase Lag ◽  
Small Signal ◽  
Loop Control ◽  
Boost Converters ◽  
Three Phase ◽  
Interleaved Boost Converter

<table width="593" border="1" cellspacing="0" cellpadding="0"><tbody><tr><td valign="top" width="387"><p>Renewable energy sources are increasingly being used today and solar energy is the most readily and abundantly available energy source. Boost converters are an integral part of any solar energy system. In order to obtain maximum possible energy from the solar system multi-phase interleaved boost converters are used. This paper presents the small-signal ac modelling and closed loop control of three-phase interleaved boost converter. State–space modelling methodology has been adopted to have linearized equivalent model of the boost converter. The interleaved three-phase boost converter is averaged over its one switching period and perturbed with small ac variations and finally linearized around its quiescent point to have a small signal ac model.  Type III compensator is employed to improve the frequency response and closed loop control of three-phase boost converter. The controller design procedure is discussed in detail. The effect of right-half plane zero in non-minimum phase system and the appropriate pole-zero placements to overcome the maximum phase lag in such system is discussed. The compensated closed loop system is tested for load variations to observe the transient response.</p><p> </p></td></tr></tbody></table>

Simulation of Closed-Loop Paper Tension Control System

2013 ◽  
Vol 329 ◽  
pp. 434-437
Author(s):  
Yu Qiu Sun ◽  
Ji Bin Zhao ◽  
Jian Xin Sun ◽  
Ji Fei Cai
Keyword(s):  
Control System ◽  
Quantitative Research ◽  
Control Parameter ◽  
Closed Loop ◽  
Tension Control ◽  
Loop Control ◽  
Printing Quality ◽  
Control Diagram ◽  
Tension Control System

Paper tension is the most important control parameter in roll material production that directly impacts the printing quality of the web offset. Based on the closed-loop paper tension control theory, by conducting a research into the simulation of paper tension control system with MATLAB/SIMULINK, presented the closed-loop control diagram about the paper tension control system. Under different control parameter, the value of the overshoot, respond speed and residual of the system varies. As a result, the quantitative research on the simulation of the system offers a valid means in improving the control accuracy.

The variable, fractional-order discrete-time PD controller in the IISv1.3 robot arm control

Open Physics ◽  
2013 ◽  
Vol 11 (6) ◽  
Author(s):  
Piotr Ostalczyk ◽  
Dariusz Brzezinski ◽  
Piotr Duch ◽  
Maciej Łaski ◽  
Dominik Sankowski
Keyword(s):  
Fractional Order ◽  
Discrete Time ◽  
Output Signal ◽  
Closed Loop ◽  
Loop System ◽  
Robot Arm ◽  
Pd Controller ◽  
Closed Loop System ◽  
Loop Control ◽  
Robot Arm Control

AbstractIn this paper, the discrete differentiation order functions of the variable, fractional-order PD controller (VFOPD) are considered. In the proposed VFOPD controller, a variable, fractional-order backward difference is applied to perform closed-loop, system error, discrete-time differentiation. The controller orders functions which may be related to the controller input or output signal or an input and output signal. An example of the VFOPD controller is applied to the robot arm closed-loop control due to system changes in moment of inertia. The close-loop system step responses are presented.

scholarly journals Modified Projective Synchronization between Different Fractional-Order Systems Based on Open-Plus-Closed-Loop Control and Its Application in Image Encryption

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Hongjuan Liu ◽  
Zhiliang Zhu ◽  
Hai Yu ◽  
Qian Zhu
Keyword(s):  
Fractional Order ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Projective Synchronization ◽  
Order System ◽  
Coupling Scheme ◽  
Fractional Order Systems ◽  
Parameter Mismatch ◽  
Loop Control ◽  
Modified Projective Synchronization

A new general and systematic coupling scheme is developed to achieve the modified projective synchronization (MPS) of different fractional-order systems under parameter mismatch via the Open-Plus-Closed-Loop (OPCL) control. Based on the stability theorem of linear fractional-order systems, some sufficient conditions for MPS are proposed. Two groups of numerical simulations on the incommensurate fraction-order system and commensurate fraction-order system are presented to justify the theoretical analysis. Due to the unpredictability of the scale factors and the use of fractional-order systems, the chaotic data from the MPS is selected to encrypt a plain image to obtain higher security. Simulation results show that our method is efficient with a large key space, high sensitivity to encryption keys, resistance to attack of differential attacks, and statistical analysis.

Pre-Scheduled PID Control of a Solar Thermal Power Plant

1995 ◽  
Vol 17 (3) ◽  
pp. 132-142 ◽  
Author(s):  
A. Meaburn ◽  
F. M. Hughes
Keyword(s):  
Closed Loop ◽  
Feedforward Control ◽  
Thermal Power ◽  
Low Frequency ◽  
Outlet Temperature ◽  
Experimental Frequency ◽  
Efficient Operation ◽  
Loop Control ◽  
Tuning Method ◽  
Control Scheme

Efficient operation of a distributed solar collector field requires effective regulation of the outlet temperature. Control schemes utilising PI-based controllers, whether adaptive or fixed parameter, have been shown to be unsuitable for this application with a stable well-damped response only obtained at the expense of an unacceptably low speed of response. The reason for this is that collector fields possess low-frequency resonance dynamics which tend to restrict the bandwidth of such controllers. This paper examines the suitability and capability of PID controllers in this application area. Using experimental frequency response data, the Ziegler-Nichols tuning method for PID design is demonstrated to yield an unstable closed-loop system. However, by adopting a strategy which specifically aims to counter the adverse phase characteristics of the plant at resonance, good effective closed-loop control can be achieved. This is implemented as a pre-scheduled control scheme on the Acurex collector field at the Plataforma Solar de Almeria and tested in conjunction with a feedforward control scheme.

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