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Proposal of FCbT Considering Closed‐Loop Stability at Each Parameter Update
Authors:Kazuhiro Yubai  Hiroki Fujii  Junji Hirai
Affiliation:Mie University 1577, Kurimamachiya, Tsu City, Japan
Abstract:We propose a controller tuning method that considers closed‐loop stability after controller tuning without a mathematical plant model. We propose fictitious correlation‐based tuning that yields reasonable controller parameters using a small amount of input and output data. However, closed‐loop stability after controller tuning is not guaranteed in this approach. In this investigation, we impose a stability constraint on the parameter update in order to maintain closed‐loop stability at each parameter update. Further, by introducing particle swarm optimization instead of the Gauss–Newton method to solve the constrained nonlinear optimization problem, the initial value dependence is considerably reduced. The effectiveness of the proposed method is confirmed by a numerical example and experimental results.
Keywords:model‐free controller tuning  FCbT  closed‐loop stability  particle swarm optimization
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