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Abstract

A non-linear state feedback algorithm based on an OFS (orthonormal functional series) model combined with Volterra Functional Series is proposed to solve block-oriented non-linear systems. This algorithm has excellent approximation ability for the variance of system time-delay, and can guarantee the closed-loop robust stability and the zero steady-state error property. In addition, it has lower online optimization computational load when dealing with the hard input constraints in contrast to traditional NMPC (non-linear model predictive control) based on the OFS model. The analyses of the stability and robustness of this algorithm are put forward systemically, and the steady-state performance analysis is also given. Case studies involving simulations on a Wiener-type non-linear system and temperature experiments on a simulation chemical reactor are used to validate the efficiency and superiority of this proposed algorithm.

Keywords

block-oriented non-linearity OFS model stability Volterra functional series

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OFS Model-Based Adaptive Control for Block-Oriented Non-Linear Systems

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