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Adaptive-Predictive Control of a Class of SISO Nonlinear Systems

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Dynamics and Control

Abstract

In this paper, an adaptive-predictive control algorithm is developed for a class of SISO nonlinear discrete-time systems based on a generalized predictive control (GPC) approach. The design is model-free, based directly on pseudo-partial-derivatives derived on-line from the input and output information of the system using a recursive least squares type of identification algorithm. The proposed control is especially useful for nonlinear systems with vaguely known dynamics. Robust stability of the closed-loop system is analyzed and proven in the paper. Simulation and real-time application examples are provided for real nonlinear systems which are known to be difficult to model and control.

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Tan, K.K., Lee, T.H., Huang, S.N. et al. Adaptive-Predictive Control of a Class of SISO Nonlinear Systems. Dynamics and Control 11, 151–174 (2001). https://doi.org/10.1023/A:1012583811904

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