A Study on Optimal PID Controller DesignEnsure the Absolute Stability
1
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
In this paper, an optimal controller design that guarantees absolute stability is proposed. The order of application of the thesis determines whether the delay time is included, and if the delay time is included, the delay time is approximated through the Pade approximation method. Then, the open loop transfer function for the process model and the controller transfer function is obtained, and the absolute stability interval is calculated by the Routh-Hurwitz discrimination method. In the last step, the optimal Proportional and Integral and Derivative(PID) control parameter value is calculated using a genetic algorithm using the interval obtained in the previous step. As a result, it was confirmed that the proposed method guarantees stability and is superior to the existing method in performance index by designing an optimal controller. If we study the compensation method for the delay time in the future, it is judged that better performance indicators will be obtained.
Abstract
In this paper, an optimal controller design that guarantees absolute stability is proposed. The order of application of the thesis determines whether the delay time is included, and if the delay time is included, the delay time is approximated through the Pade approximation method. Then, the open loop transfer function for the process model and the controller transfer function is obtained, and the absolute stability interval is calculated by the Routh-Hurwitz discrimination method. In the last step, the optimal Proportional and Integral and Derivative(PID) control parameter value is calculated using a genetic algorithm using the interval obtained in the previous step. As a result, it was confirmed that the proposed method guarantees stability and is superior to the existing method in performance index by designing an optimal controller. If we study the compensation method for the delay time in the future, it is judged that better performance indicators will be obtained.
참고문헌 (14)
- J. G. Ziegler, "Optimum settings for automatic controllers", Transactions of the A. S. M. E, 64, pp.759~768 (1942)[DOI]
- K. J. Astrom, "Automatic tuning of simple regulators with specifications on phase and amplitude margins", Automatica, 20(5), pp.645~651 (1984)[DOI]
- W. K. Ho, "Frequency domain approach to self-tuning PID control", Control Engineering Practice, 4(6), pp.807~813 (1996)[DOI]
- M. Zhuang, "Automatic tuning of optimum PID controllers", IEE Proceedings D, 140(3), pp.216~224 (1993)[DOI]
- Q. J. Wang, "PID tuning for Improved performance", IEEE Transactions on Control Systems Technology, 7(4), pp.457~465 (1999)[DOI]
- W. K Ho, "Performance and gain and phase margins of well-known PID tuning formulas", IEEE Transactions on Control Systems Technology, 4(4), pp.473~477 (1996)[DOI]
- W. K Ho, "Tuning of PID controllers based on gain and phase margin specifications", Automatica, 31(3), pp.497~502 (1995)[DOI]
- J. J. Grefenstette, "Optimizaion of control parameters for genetic algorithms", IEEE Transactions on Systems, Man, and Cybernetics, 16(1), pp.122~128 (1986)[DOI]
- B. Verma, "Robust Fine Tuning of Optimal PID Controller With Guaranteed Robustness", IEEE Transactions on Industrial Electronics, 67(6), pp.4911~4920 (2020)[DOI]
- J. Fu, "Local optimization of dynamic programs with guaranteed satisfaction of path constraints", Automatica, 62(1), pp.184~192 (2015)[DOI]
- B. Verma, "PID controller design with hyperbolic tangent weighted error function using GA", Proc. 5th Int. Conf. Signal Process. Integr. Netw, pp.792~795 (2018)
- N. Sun, "Transportation control of double-pendulum cranes with a nonlinear quasi-PID scheme : Design and experiments, IEEE Trans", Syst. Man Cybern. Syst, 49(7), pp.1408~1418 (2019)[DOI]
- 권민서, "실시간 관측 및 제어가 가능한 IoT 저수조 관리 시스템", 융합정보논문지, 8(6), pp.217~223 (2018), 중소기업융합학회[DOI]
- 이오식, "자동제어 시스템이 케미칼 프로플린 생산에 미치는 영향 연구", 융합정보논문지, 9(2), pp.34~42 (2019), 중소기업융합학회[DOI]
