Binary-coded extremal optimization for the design of PID controllers

GQ Zeng, KD Lu, YX Dai, ZJ Zhang, MR Chen… - Neurocomputing, 2014 - Elsevier
GQ Zeng, KD Lu, YX Dai, ZJ Zhang, MR Chen, CW Zheng, D Wu, WW Peng
Neurocomputing, 2014Elsevier
Abstract Design of an effective and efficient PID controller to obtain high-quality
performances such as high stability and satisfied transient response is of great theoretical
and practical significance. This paper presents a novel design method for PID controllers
based on the binary-coded extremal optimization algorithm (BCEO). The basic idea behind
the proposed method is encoding the PID parameters into a binary string, evaluating the
control performance by a more reasonable index than the integral of absolute error (IAE) …
Abstract
Design of an effective and efficient PID controller to obtain high-quality performances such as high stability and satisfied transient response is of great theoretical and practical significance. This paper presents a novel design method for PID controllers based on the binary-coded extremal optimization algorithm (BCEO). The basic idea behind the proposed method is encoding the PID parameters into a binary string, evaluating the control performance by a more reasonable index than the integral of absolute error (IAE) and the integral of time weighted absolute error (ITAE), updating the solution by the selection based on power-law probability distribution and binary mutation for the selected bad elements. The experimental results on some benchmark instances have shown that the proposed BCEO-based PID design method is simpler, more efficient and effective than the existing popular evolutionary algorithms, such as the adaptive genetic algorithm (AGA), the self-organizing genetic algorithm (SOGA) and probability based binary particle swarm optimization (PBPSO) for single-variable plants. Moreover, the superiority of the BCEO method to AGA and PBPSO is demonstrated by the experimental results on the multivariable benchmark plant.
Elsevier
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