Stability Analysis of a Nonlinear MIMO System using Fractional Order Active Disturbance Rejection Controller

2020 ◽  
Author(s):  
Piyali Das ◽  
Ram Krishna Mehta ◽  
Om Prakash Roy
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Disturbance Rejection ◽  
Mimo System ◽  
Active Disturbance Rejection

scholarly journals Optimal Fractional-Order Active Disturbance Rejection Controller Design for PMSM Speed Servo System

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 262
Author(s):  
Pengchong Chen ◽  
Ying Luo ◽  
Yibing Peng ◽  
Yangquan Chen
Keyword(s):  
Fractional Order ◽  
Disturbance Rejection ◽  
Pid Controller ◽  
External Disturbance ◽  
Servo System ◽  
Stable Region ◽  
Speed Tracking ◽  
Active Disturbance Rejection ◽  
Load Disturbance ◽  
Tuning Strategy

In this paper, a fractional-order active disturbance rejection controller (FOADRC), combining a fractional-order proportional derivative (FOPD) controller and an extended state observer (ESO), is proposed for a permanent magnet synchronous motor (PMSM) speed servo system. The global stable region in the parameter (Kp, Kd, μ)-space corresponding to the observer bandwidth ωo can be obtained by D-decomposition method. To achieve a satisfied tracking and anti-load disturbance performance, an optimal ADRC tuning strategy is proposed. This tuning strategy is applicable to both FOADRC and integer-order active disturbance rejection controller (IOADRC). The tuning method not only meets user-specified frequency-domain indicators but also achieves a time-domain performance index. Simulation and experimental results demonstrate that the proposed FOADRC achieves better speed tracking, and more robustness to external disturbance performances than traditional IOADRC and typical Proportional-Integral-Derivative (PID) controller. For example, the JITAE for speed tracking of the designed FOADRC are less than 52.59% and 55.36% of the JITAE of IOADRC and PID controller, respectively. Besides, the JITAE for anti-load disturbance of the designed FOADRC are less than 17.11% and 52.50% of the JITAE of IOADRC and PID controller, respectively.

scholarly journals Fractional-Order PID Controller for Active Power Filter Using Active Disturbance Rejection Control

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Nixuan Liu ◽  
Siqi Cao ◽  
Juntao Fei
Keyword(s):  
Fractional Order ◽  
Disturbance Rejection ◽  
Pid Controller ◽  
Control Method ◽  
Active Power Filter ◽  
Power Filter ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

This paper proposed a fractional-order PID controller and active disturbance rejection control (ADRC) method for the current compensation of active power filter (APF). The control method consists of two closed loops. One is a reference current tracking loop based on the ADRC controller, which can treat the internal and external uncertainties of the system as a whole. The other is the voltage control loop with the fractional-order PID controller for more flexibility. Simulation results demonstrate that the proposed control method has a stronger robustness and higher compensating precision comparing with the double-loop PID control method.

scholarly journals Fractional Order Linear Active Disturbance Rejection Control for Linear Flexible Joint System

2022 ◽  
Vol 70 (3) ◽  
pp. 5133-5142
Author(s):  
Ibrahim M. Mehedi ◽  
Rachid Mansouri ◽  
Ubaid M. Al-Saggaf ◽  
Ahmed I. M. Iskanderani ◽  
Maamar Bettayeb ◽  
...  
Keyword(s):  
Fractional Order ◽  
Disturbance Rejection ◽  
Active Disturbance Rejection Control ◽  
Joint System ◽  
Flexible Joint ◽  
Order Linear ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control

scholarly journals Fractional-Order PID and Active Disturbance Rejection Control with Tuning Parameter Optimization for Induction Heating

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Bingyu Li ◽  
Jining Guo ◽  
Ying Fu
Keyword(s):  
Fractional Order ◽  
Temperature Control ◽  
Induction Heating ◽  
Disturbance Rejection ◽  
Active Disturbance Rejection Control ◽  
Heating Systems ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
Fractional Order Pid ◽  
Control Accuracy

Induction heating systems are characterized by model uncertainty, nonlinearity, and external disturbances, and the control accuracy of the system directly affects the performance of the heated workpiece. In order to improve the temperature control accuracy and anti-interference performance of induction heating systems, this paper proposes a composite control strategy combining fractional-order PID (FOPID) and active disturbance rejection control (ADRC). Meanwhile, for the problem of too many controller tuning parameters, an improved quantum behavior particle swarm optimization (QPSO) algorithm is used to transform the nine parameters to be tuned in fractional-order PID active disturbance rejection control (FOPID-ADRC) into a minimization value optimization problem for solving. The simulation results show that the FOPID-ADRC controller improves the anti-interference capability and control accuracy of the temperature control system, and the improved QPSO algorithm has better global search capability and local optimal adaptation value.

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