Optimal design of H2/H∞ based robust PID controller by constrained extremal optimization and differential evolution

Guoqiang ZENG; Lu DONG; Zhengjiang ZHANG; Shipei HUANG; Xiaoqing XIE; Jie CHEN; Kangdi LU; Jingliao SUN; Huan WANG

doi:10.1109/ICICIP.2017.8113919

Optimal design of H2/H∞ based robust PID controller by constrained extremal optimization and differential evolution

Guoqiang ZENG^*
, Lu DONG
, Zhengjiang ZHANG
, Shipei HUANG
, Xiaoqing XIE
, Jie CHEN
, Kangdi LU
, Jingliao SUN
, Huan WANG

^*Corresponding author for this work

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

Abstract

How to design an optimal mixed H2/H∞ robust FID controller for a complex control system is of great practical importance, but it is still an open issue. From the perspective of evolutionary algorithm, this paper formulates this issue firstly as a typical constrained optimization problem by minimizing a weighted objective function consisting of the robust stability performance, disturbance attenuation performance and tracking error, and then presents a novel a novel optimal design method of mixed H2/H∞ robust FID controllers based on a constrained evolutionary algorithm called CEO-DE by combining constrained extremal optimization and differential evolution. The simulation results on two typical multi-variable control systems have demonstrated the proposed CEO-DE based design method performs better than some reported popular methods such as intelligent genetic algorithm and multi-objective particle swarm optimization.

Original language	English
Title of host publication	2017 8th International Conference on Intelligent Control and Information Processing, ICICIP 2017
Publisher	IEEE
Pages	68-73
Number of pages	6
ISBN (Electronic)	9781538611685
ISBN (Print)	9781538611692
DOIs	https://doi.org/10.1109/ICICIP.2017.8113919
Publication status	Published - 2017
Externally published	Yes
Event	2017 Eighth International Conference on Intelligent Control and Information Processing, ICICIP 2017 - Hangzhou, China Duration: 3 Nov 2017 → 5 Nov 2017

Conference

Conference	2017 Eighth International Conference on Intelligent Control and Information Processing, ICICIP 2017
Country/Territory	China
City	Hangzhou
Period	3/11/17 → 5/11/17

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

Funding

This work was partially supported by Zhejiang Provincial Natural Science Foundation of China (Nos. LY16F030011 and LZ16E050002), and the National Natural Science Foundation of China (No. 51207112).

Keywords

constrained evolutionary algorithm
differential evolution
extremal optimization
mixed H2/H∞
Robust PID controller

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10.1109/ICICIP.2017.8113919

Cite this

ZENG, G., DONG, L., ZHANG, Z., HUANG, S., XIE, X., CHEN, J., LU, K., SUN, J., & WANG, H. (2017). Optimal design of H2/H∞ based robust PID controller by constrained extremal optimization and differential evolution. In 2017 8th International Conference on Intelligent Control and Information Processing, ICICIP 2017 (pp. 68-73). IEEE. https://doi.org/10.1109/ICICIP.2017.8113919

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title = "Optimal design of H2/H∞ based robust PID controller by constrained extremal optimization and differential evolution",

abstract = "How to design an optimal mixed H2/H∞ robust FID controller for a complex control system is of great practical importance, but it is still an open issue. From the perspective of evolutionary algorithm, this paper formulates this issue firstly as a typical constrained optimization problem by minimizing a weighted objective function consisting of the robust stability performance, disturbance attenuation performance and tracking error, and then presents a novel a novel optimal design method of mixed H2/H∞ robust FID controllers based on a constrained evolutionary algorithm called CEO-DE by combining constrained extremal optimization and differential evolution. The simulation results on two typical multi-variable control systems have demonstrated the proposed CEO-DE based design method performs better than some reported popular methods such as intelligent genetic algorithm and multi-objective particle swarm optimization.",

keywords = "constrained evolutionary algorithm, differential evolution, extremal optimization, mixed H2/H∞, Robust PID controller",

author = "Guoqiang ZENG and Lu DONG and Zhengjiang ZHANG and Shipei HUANG and Xiaoqing XIE and Jie CHEN and Kangdi LU and Jingliao SUN and Huan WANG",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 2017 Eighth International Conference on Intelligent Control and Information Processing, ICICIP 2017 ; Conference date: 03-11-2017 Through 05-11-2017",

year = "2017",

doi = "10.1109/ICICIP.2017.8113919",

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ZENG, G, DONG, L, ZHANG, Z, HUANG, S, XIE, X, CHEN, J, LU, K, SUN, J & WANG, H 2017, Optimal design of H2/H∞ based robust PID controller by constrained extremal optimization and differential evolution. in 2017 8th International Conference on Intelligent Control and Information Processing, ICICIP 2017. IEEE, pp. 68-73, 2017 Eighth International Conference on Intelligent Control and Information Processing, ICICIP 2017, Hangzhou, China, 3/11/17. https://doi.org/10.1109/ICICIP.2017.8113919

Optimal design of H2/H∞ based robust PID controller by constrained extremal optimization and differential evolution. / ZENG, Guoqiang; DONG, Lu; ZHANG, Zhengjiang et al.
2017 8th International Conference on Intelligent Control and Information Processing, ICICIP 2017. IEEE, 2017. p. 68-73.

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

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AU - ZENG, Guoqiang

AU - DONG, Lu

AU - ZHANG, Zhengjiang

AU - HUANG, Shipei

AU - XIE, Xiaoqing

AU - CHEN, Jie

AU - LU, Kangdi

AU - SUN, Jingliao

AU - WANG, Huan

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Optimal design of H2/H∞ based robust PID controller by constrained extremal optimization and differential evolution

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