ITAE-optimal PI controller based on Genetic Algorithm for low-order process with large time delays

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 calculation method of parameter stable region of PI controller that can stabilize a low order process with time dela...

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Bibliographic Details
Published in2014 20th International Conference on Automation and Computing pp. 134 - 139
Main Authors Pan, Fengping, Liao, Hongkai, Luo, Jia, Xue, Yali
Format Conference Proceeding
LanguageEnglish
Published Chinese Automation and Computing Society in the UK-CACS 01.09.2014
Subjects
Delay effects
Genetic Algorithm
Genetic algorithms
Hermite-Biehler Theorem
Indexes
ITAE index
Monte-Carlo stochastic experiment
Optimal PI control
Process control
Robustness
Tuning
Uncertainty
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Summary: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 calculation method of parameter stable region of PI controller that can stabilize a low order process with time delay is proposed by using the generalized Hermite-Biehler theorem. Then the optimum PI controller parameters are obtained within this region based on ITAE criterion and genetic algorithm. A PI controller tuning formula is finally obtained by nonlinear fitting of optimization results, which has the capability to cover the low order process with normalized time delays up to 100. Monte-Carlo stochastic experiment on robust performance indicates that the proposed PI controller tuning method has good performance robustness when parameter uncertainty occurs compared with other four PI tuning methods.
DOI:10.1109/IConAC.2014.6935475