Abstract
For a class of complex industrial processes with strong nonlinearity, serious coupling and uncertainty, a nonlinear decoupling proportional-integral-differential (PID) controller is proposed, which consists of a traditional PID controller, a decoupling compensator and a feedforward compensator for the unmodeled dynamics. The parameters of such controller is selected based on the generalized minimum variance control law. The unmodeled dynamics is estimated and compensated by neural networks, a switching mechanism is introduced to improve tracking performance, then a nonlinear decoupling PID control algorithm is proposed. All signals in such switching system are globally bounded and the tracking error is convergent. Simulations show effectiveness of the algorithm.
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This paper is supported by the National Foundamental Research Program of China (No. 2002CB312201), the State Key Program of National Natural Science of China (No. 60534010), the Funds for Creative Research Groups of China (No. 60521003), and Program for Changjiang Scholars and Innovative Research Team in University (No. IRT0421).
Lianfei ZHAI was born in Pingdingshan, Henan Province, P.R. China in 1981. She received the B.E. in the Department of Automatic Control in 2002, from Zhengzhou University. She is currently a Ph.D. student of Northeastern University. Her research interests include decoupling control and its application, adaptive nonlinear control and neural network control.
Tianyou CHAI is a member of Chinese Engineering Academy. He received doctor degree of Northeastern University in 1985. Now he is the director of State Research Center for Metallurgical Automation Technology, and the professor and Ph.D. supervisor of Northeastern University. His research interests are adaptive control, intelligent control, and integrated automation of industrial processes.
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Zhai, L., Chai, T. Nonlinear decoupling PID control using neural networks and multiple models. J. Control Theory Appl. 4, 62–69 (2006). https://doi.org/10.1007/s11768-006-5260-7
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DOI: https://doi.org/10.1007/s11768-006-5260-7