An analytical parameter tuning method for fractional order PIλ controller based on ideal closed loop response

2020 ◽  
Author(s):  
Hong Li ◽  
Yangyang Zhao ◽  
Xiaochao Zhang ◽  
Bo Zhang ◽  
Zhong Li
Keyword(s):  
Fractional Order ◽  
Closed Loop ◽  
Parameter Tuning ◽  
Tuning Method ◽  
Analytical Parameter

Simple PID parameter tuning method based on outputs of the closed loop system

2016 ◽  
Vol 29 (3) ◽  
pp. 465-474 ◽  
Author(s):  
Jianda Han ◽  
Zhiqiang Zhu ◽  
Ziya Jiang ◽  
Yuqing He
Keyword(s):  
Closed Loop ◽  
Parameter Tuning ◽  
Loop System ◽  
Closed Loop System ◽  
Tuning Method

scholarly journals Multiobjective Optimization Design of a Fractional Order PID Controller for a Gun Control System

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Qiang Gao ◽  
Jilin Chen ◽  
Li Wang ◽  
Shiqing Xu ◽  
Yuanlong Hou
Keyword(s):  
Control System ◽  
Multiobjective Optimization ◽  
Fractional Order ◽  
Optimization Design ◽  
Differential Evolution Algorithm ◽  
Optimal Solution ◽  
Parameter Tuning ◽  
Gun Control ◽  
Tuning Method ◽  
Fractional Order Pid

Motion control of gun barrels is an ongoing topic for the development of gun control equipments possessing excellent performances. In this paper, a typical fractional order PID control strategy is employed for the gun control system. To obtain optimal parameters of the controller, a multiobjective optimization scheme is developed from the loop-shaping perspective. To solve the specified nonlinear optimization problem, a novel Pareto optimal solution based multiobjective differential evolution algorithm is proposed. To enhance the convergent rate of the optimization process, an opposition based learning method is embedded in the chaotic population initialization process. To enhance the robustness of the algorithm for different problems, an adapting scheme of the mutation operation is further employed. With assistance of the evolutionary algorithm, the optimal solution for the specified problem is selected. The numerical simulation results show that the control system can rapidly follow the demand signal with high accuracy and high robustness, demonstrating the efficiency of the proposed controller parameter tuning method.

The fractional order PI control for an energy saving electro-hydraulic system

2015 ◽  
Vol 39 (4) ◽  
pp. 505-519 ◽  
Author(s):  
Zhao Jiangbo ◽  
Wang Junzheng
Keyword(s):  
Energy Saving ◽  
Fractional Order ◽  
Hydraulic System ◽  
Parameter Tuning ◽  
Utilization Efficiency ◽  
Control Performance ◽  
Hydraulic Circuit ◽  
Data Simulation ◽  
Tuning Method ◽  
Saving Effect

In an electro-hydraulic system (EHS), the throttling phenomenon of the hydraulic valve leads to the problem of low utilization efficiency of hydraulic energy and severe increases in temperature. To alleviate this problem, this paper presents a type of one-chamber-controlled hydraulic circuit. In some applications where elastic load is dominant, this hydraulic circuit can achieve a significant energy-saving effect. For a valve-controlled system, the orifice non-linearity and the slowly varying parameter significantly influence the control performance of the electro-hydraulic system. With this aim in mind, the orifice compensation method is proposed to deal with the orifice non-linearity. Based on the compensation, the fractional order proportional–integral (FOPI) controller is adopted to deal with the problem of fluid parameter variation. In the controller designing process, this paper proposes a controller parameter tuning method based on system frequency characteristic data. Simulation and experiment results show that the strategy presented in this paper can reduce the energy losses dramatically and, at the same time, the control performance of electro-hydraulic system can be guaranteed.

Tuning Method of Fractional Order Controllers for Vibration Suppression in Smart Structures

2014 ◽  
Vol 598 ◽  
pp. 534-538 ◽  
Author(s):  
Cristina I. Muresan ◽  
Ovidiu Prodan ◽  
Silviu Folea
Keyword(s):  
Fractional Order ◽  
Closed Loop ◽  
Vibration Suppression ◽  
Aerospace Engineering ◽  
External Disturbances ◽  
Tuning Method ◽  
Design Specifications ◽  
Modeling Uncertainties ◽  
Smart Beam

Vibration suppression is a major problem in various domains, with applications ranging from medical devices to aerospace engineering. Several methods for suppressing vibrations have been proposed, but very few address this issue from the fractional calculus perspective. The emerging new fractional order controllers have the ability to meet more design specifications at the same time, behaving robustly against modeling uncertainties, external disturbances, etc. In this paper, a new tuning method for fractional order PDµcontroller is proposed in which the design directly addresses the problem of suppressing resonance frequency vibrations. The case study consists in an unloaded smart beam. The simulation results, considering an additional situation of the loaded smart beam, show that the proposed method is simple and leads to a robust closed loop behavior.

A Study on Parameter Tuning of Fractional Order PIλ-PDμ Controller

2014 ◽  
Vol 1049-1050 ◽  
pp. 977-982
Author(s):  
Hui Juan Bian ◽  
Zhi Dong Qi ◽  
Liang Shan ◽  
Bo Yang Leng
Keyword(s):  
Fractional Order ◽  
Feedback Loop ◽  
Closed Loop ◽  
Control Structure ◽  
Dynamic Performance ◽  
Parameter Tuning ◽  
Order System ◽  
Reasonable Range ◽  
Static Performance ◽  
Forward Channel

Aiming at a kind of special object with fractional characteristics,a new kind of fractional order PIλ-PDμ controller is put forward in this paper,In this control system, the forward channel of system contains a fractional order PIλ controller,while the feedback loop adopts PDμ controller.The control structure in this fractional order system can achieve a good performance of the closed loop control.Moreover,the impacts on system dynamic performance and static performance are compared when the parameters in the controller are changed.The results show that when these parameters are in the reasonable range,the system can achieve better control performance.

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 Fractional-Order PII1/2DD1/2 Control: Theoretical Aspects and Application to a Mechatronic Axis

2021 ◽  
Vol 11 (8) ◽  
pp. 3631
Author(s):  
Luca Bruzzone ◽  
Mario Baggetta ◽  
Pietro Fanghella
Keyword(s):  
Fractional Order ◽  
Position Control ◽  
Tracking Error ◽  
Experimental Tests ◽  
Maximum Torque ◽  
Control Effort ◽  
Tuning Method ◽  
Alternative Approach ◽  
Remarkable Reduction ◽  
Distributed Order

Fractional Calculus is usually applied to control systems by means of the well-known PIlDm scheme, which adopts integral and derivative components of non-integer orders λ and µ. An alternative approach is to add equally distributed fractional-order terms to the PID scheme instead of replacing the integer-order terms (Distributed Order PID, DOPID). This work analyzes the properties of the DOPID scheme with five terms, that is the PII1/2DD1/2 (the half-integral and the half-derivative components are added to the classical PID). The frequency domain responses of the PID, PIlDm and PII1/2DD1/2 controllers are compared, then stability features of the PII1/2DD1/2 controller are discussed. A Bode plot-based tuning method for the PII1/2DD1/2 controller is proposed and then applied to the position control of a mechatronic axis. The closed-loop behaviours of PID and PII1/2DD1/2 are compared by simulation and by experimental tests. The results show that the PII1/2DD1/2 scheme with the proposed tuning criterium allows remarkable reduction in the position error with respect to the PID, with a similar control effort and maximum torque. For the considered mechatronic axis and trapezoidal speed law, the reduction in maximum tracking error is −71% and the reduction in mean tracking error is −77%, in correspondence to a limited increase in maximum torque (+5%) and in control effort (+4%).

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