Optimal PI Controller Tuning Based on ITAE Criterion for Low-Order Systems with Large Time Delay

Abstract:

For low order process with large time delay, a kind of optimal PI controller tuning method is proposed based on generalized Hermite-Biehler theorem and Genetic Algorithm. Firstly, the stable region of PI controller is obtained by using the generalized Hermite-Biehler theorem. Then the optimum parameters are selected from this region based on ITAE criterion and genetic algorithm. A tuning formula is obtained by nonlinear fitting of optimization result, which has the capability to cover the variety of normalized time delays up to 100. Simulation of Monte-Carlo stochastic experiment indicates that the proposed method has good performance robustness when parameter uncertainty occurs, compared with other four PI tuning methods.

• Periodical: Applied Mechanics and Materials (Volumes 411-414)
• Pages: 1716-1719
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.411-414.1716
• Online since: September 2013
• Authors: Feng Ping Pan, Hong Kai Liao, Jia Luo, Xi Zhang
• Keywords: Hermite-Biehler Theorem, ITAE Criterion, Monte-Carlo Method, Optimal Pi Control

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