A tuning method for decentralized PID controllers was developed based on probabilistic robustness for multi-input-multi-output plants, whose parameters vary in a determinate area. The advantage of this method is that the entire uncertainty parameter space can be considered for controller designing. According to model uncertainties, the probabilities of satisfaction for every item of dynamic performance requirements were computed and synthesized as the cost function of genetic algorithms, which was used to optimize the parameters of decentralized PID controllers. Monte Carlo experiments were used to test the control system robustness. Simulations for five multivariable chemical processes were carried out. Comparisons with a standard design method based on nominal conditions indicate that the method presented in this paper has better robustness, and the systems can satisfy the design requirements in a maximal probability.
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e-mail: lidongh@mail.tsinghua.edu.cn
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November 2011
Research Papers
Decentralized PID Controllers Based on Probabilistic Robustness
Donghai Li
Donghai Li
Department of Thermal Engineering, Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Institute of Simulation and Control for Thermal Power Engineering,
e-mail: lidongh@mail.tsinghua.edu.cn
Tsinghua University
, Beijing 100084, China
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Donghai Li
Department of Thermal Engineering, Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Institute of Simulation and Control for Thermal Power Engineering,
Tsinghua University
, Beijing 100084, China
e-mail: lidongh@mail.tsinghua.edu.cn
J. Dyn. Sys., Meas., Control. Nov 2011, 133(6): 061015 (8 pages)
Published Online: November 21, 2011
Article history
Received:
August 5, 2009
Revised:
May 8, 2011
Online:
November 21, 2011
Published:
November 21, 2011
Citation
Wang, C., and Li, D. (November 21, 2011). "Decentralized PID Controllers Based on Probabilistic Robustness." ASME. J. Dyn. Sys., Meas., Control. November 2011; 133(6): 061015. https://doi.org/10.1115/1.4004781
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