PI and LQR controllers for Frequency Regulation including Wind Generation

Álvarez, Semaria Ruiz; Patiño, Julián; Espinosa, Jairo

doi:10.11591/ijece.v8i5.pp3711-3721

Cited by 9 publications

(8 citation statements)

References 17 publications

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“…A main objective of feedback system design is to achieve a nominal performance specification for a given design model of the plant, and to maintain this performance over a range of expected errors between the design model and the true plant [18][19][20][21]. In this section, three control methods are proposed and described in brief: LQI controller, LQG and LTR based on optimal control theory, the proposed approach in this paper is detailed in the scheme presented in Figure 4.…”

Section: Lqi/lqr/ltr Optimal Controls Methodsmentioning

confidence: 99%

An implementation of optimal control methods (LQI, LQG, LTR) for geostationary satellite attitude control

Djaballah¹,

Mohammed²,

Boughanmi³

2019

IJECE

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This paper investigates a new strategy for geostationary satellite attitude control using Linear Quadratic Gaussian (LQG), Loop Transfer Recovery (LTR), and Linear Quadratic Integral (LQI) control techniques. The sub-system satellite attitude determination and control of a geostationary satellite in the presence of external disturbances, the dynamic model of sub-satellite motion is firstly established by Euler equations. During the flight mission at 35000 Km attitude, the stability characteristics of attitude motion are analyzed with a large margin error of pointing, then a height performance-order LQI, LQG and LTR attitude controller are proposed to achieve stable control of the sub-satellite attitude, which dynamic model is linearized by using feedback linearization method. Finally, validity of the LTR order controller and the advantages over an integer order controller are examined by numerical simulation. Comparing with the corresponding integer order controller (LQI, LQG), numerical simulation results indicate that the proposed sub-satellite attitude controller based on LTR order can not only stabilize the sub-satellite attitude, but also respond faster with smaller overshoot.

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Section: Lqi/lqr/ltr Optimal Controls Methodsmentioning

confidence: 99%

An implementation of optimal control methods (LQI, LQG, LTR) for geostationary satellite attitude control

Djaballah¹,

Mohammed²,

Boughanmi³

2019

IJECE

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“…Appropriate selecting optimal performance cost index, that can achieve the determination of the vector K, results the optimal control system. The optimal K value is decided by the calculation of the famous Riccati equation that needs the input parameters including a semi-positive definite matrix Q and the positive definite matrix R. Comparing the LQR optimal control approach with PID approach yields that LQR has more superior performances [42]. LQR optimal control approach has been applied successfully to many engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Feedback Linearized Optimal Control Design for Quadrotor With Multi-Performances

Chen

2021

IEEE Access

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Design of tracking controller for quadrotor is an important issue for many engineering fields such as COVID-19 epidemic prevention, intelligent agriculture, military photography and rescue nowadays. This study applies the feedback linearized method and linear quadratic regulator (LQR) method using particle swarm optimization (PSO) to analysis and stabilize the highly nonlinear quadrotor system without applying any nonlinear function approximator that includes neural network approach and fuzzy approach. The article proposes a new method based on the firstly proposed convergence rate formula to achieve the optimal weighting matrices of LQR such that the composite controller can reduce the amplitudes of system control inputs. Determination of the LQR tuning parameters is conventionally achieved via trial and error approach. In addition to being very troublesome, it is difficult to find the globally best tuning matrices with LQR method. This article firstly uses the convergence rate formula of the nonlinear system as the fitness function of LQR approach by using PSO to take the place of the trial and error method. The generalities and implications of proposed approach are globally valid, whereas the Jacobian linearized approach is locally valid due to the Taylor expansion theorem. In addition to these two major achievements, the significant innovation of the proposed method is to possess "simultaneously" additional performances including the almost disturbance decoupling, input amplitude reduction, tuning parameter optimization and globally exponential stability performances. Comparative examples show that the convergence rate with our proposed optimal controller using the PSO algorithm is larger than the fuzzy method, and better than the singular perturbation method with high-gain feedback.INDEX TERMS Almost disturbance decoupling, COVID-19 epidemic prevention , feedback linearized approach, linear quadratic regulator, particle swarm optimization, quadrotor.

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“…This research has a brief working principle as follows the voltage from the three-phase generator is converted via bridged rectifier and voltage booster to raise the supply voltage to the three-phase inverter controlled by the microcontroller, TMS320F28379D for the booster circuit, the voltage is controlled by the PI method to control the DC voltage to be stable. For the three-phase inverter, PWM modulation is controlled by using the hysteresis current control technique [23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Development of DC voltage control from wind turbines using proportions and integrals for three-phase grid-connected inverters

Chaithanakulwat¹

2020

IJECE

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This research article presents the method to control the DC voltage of the boost converter by using a proportional-integral (PI) controller. With AC voltage from a wind turbine generator, converting to DC voltage level by rectifier, this DC voltage controlled by PI controller is to control boost converter that sends DC links to the inverter which converting alternating current voltage to direct current voltage through three-phase load and to the grid-connected system. For switching the IGBTs in the inverter, the PWM signal, on the hysteresis current control, is controlled by the signal from the detected reference voltage based on the grid-connected system and the voltage from a wind turbine generator. The tests made the comparison of results from the simulation with the MATLAB/Simulink program and result from the hardware on the prototype. The power quality results, such as harmonic, power factor, are in acceptable ranges.

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PI and LQR controllers for Frequency Regulation including Wind Generation

Cited by 9 publications

References 17 publications

An implementation of optimal control methods (LQI, LQG, LTR) for geostationary satellite attitude control

An implementation of optimal control methods (LQI, LQG, LTR) for geostationary satellite attitude control

Feedback Linearized Optimal Control Design for Quadrotor With Multi-Performances

Development of DC voltage control from wind turbines using proportions and integrals for three-phase grid-connected inverters

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