Optimal Fractional Order Proportional Integral Controller for Varying Time-Delay Systems

2008 ◽  
Vol 41 (2) ◽  
pp. 4910-4915 ◽  
Author(s):  
Varsha Bhambhani ◽  
YangQuan Chen ◽  
Dingyü Xue
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Proportional Integral ◽  
Varying Time Delay ◽  
Integral Controller ◽  
Proportional Integral Controller

Robust Fractional Order Proportional Integral Control for Large Time-Delay System

2014 ◽  
Vol 716-717 ◽  
pp. 1614-1619
Author(s):  
Rui Hao Xin ◽  
Chun Yang Wang ◽  
Xue Lian Liu ◽  
Ming Qiu Li ◽  
Duan Yuan Bai
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Delay Time ◽  
Large Time ◽  
Delay System ◽  
Order System ◽  
Time Delay System ◽  
Proportional Integral ◽  
Integral Controller ◽  
Proportional Integral Controller

In this paper, a new control method for large time delay system is proposed. Firstly, the decreasing time delay controller is used to remodel large delay time plant into small delay time plant. Then, a fractional robust proportional-integral controller (FOPI) is designed, using the phase margin and cut-off frequency at a specified point in the Bode plot of flat robust conditions, to guarantee the desired control performance and the robustness of the high order system to the gain order system. For comparison between the fractional order proportional integral controller and the traditional integer order PID (IOPID) controller, the IOPID controller is also designed following the same proposed tuning specifications. The simulation results indicates that the both designed controllers work efficiently. Furthermore, the FOPI controller makes the large time-delay system get better control effect, the system has high robustness, adaptive ability and anti-jamming ability.

scholarly journals Design of fractional order proportional integral controller using stability and robustness criteria in time delay system

2019 ◽  
Vol 52 (9-10) ◽  
pp. 1552-1566
Author(s):  
SiYi Chen ◽  
HuiXian Huang
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Complete Solution ◽  
Solution Space ◽  
Delay System ◽  
Phase Margin ◽  
Time Delay System ◽  
Proportional Integral ◽  
Integral Controller ◽  
Proportional Integral Controller

In this paper, a tuning procedure of the parameters of fractional order proportional integral controller is presented for time delay system with arbitrary order. On the basis of obtaining stable solution space by utilizing some stability-domain boundaries which include real-root boundary and σ-stability boundary, the optimal solution can be achieved by applying specific frequency-domain specifications which include gain crossing frequency, phase margin, and robustness constraint. Using the same synthesis by traversing phase angle and phase margin in a given interval, the complete solution space of gain crossing frequency can be obtained and visualized, which is equivalent to demonstrate the complete solution space of optimal parameters of fractional order proportional integral controllers. As a comparison, the tuning procedure of the parameters of integral order proportional integral derivative controller is also discussed. At last, the proposed algorithm is validated by numerical simulation and experimental illustrations. The results show the robustness and advantage of the proposed fractional order proportional integral controller over other controllers.

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