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Secant Method Based U-Model Identification and Generalized Predictive Controller for Nonlinear Dynamic Systems

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Intelligent Computing, Networked Control, and Their Engineering Applications (ICSEE 2017, LSMS 2017)

Abstract

Generalized predictive controller of nonlinear systems are analyzed, to improve the efficiency, a secant method is employed to estimate the parameters of U-model that considered as an easy and effective modelling method for nonlinear dynamic plants. In this way, the final controller output of the nonlinear systems is transformed into solving a polynomial equation based on the available controller output, which greatly decreases the difficulties in the design of nonlinear control systems. The controller output can be derived from the secant method, which does not need to calculate the derivative, reduces the computational complexity and have faster convergence rate. In order to illustrate the design process and its effectiveness of the algorithm, a simulation is conducted to verify the method.

This work was supported by Hatching Foundation of NJUPT (No. NY217063).

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Acknowledgments

Great thank Professor Quanming Zhu for explanation of U-model estimation with Newton-Raphson iteration.

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Correspondence to Jie Ding .

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Zhou, T., Ding, J., Deng, H. (2017). Secant Method Based U-Model Identification and Generalized Predictive Controller for Nonlinear Dynamic Systems. In: Yue, D., Peng, C., Du, D., Zhang, T., Zheng, M., Han, Q. (eds) Intelligent Computing, Networked Control, and Their Engineering Applications. ICSEE LSMS 2017 2017. Communications in Computer and Information Science, vol 762. Springer, Singapore. https://doi.org/10.1007/978-981-10-6373-2_39

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  • DOI: https://doi.org/10.1007/978-981-10-6373-2_39

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  • Online ISBN: 978-981-10-6373-2

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