Nonlinear system identification for multivariable control via discrete-time Chen-Fliess series

摘要

The nonlinear system identification problem is solved for a multivariable nonlinear input-output system that can be represented in terms of a Chen-Fliess functional expansion. The problem is formulated in terms of a regression which is linear in the parameters and has a nonlinear regressor. An inductive implementation of the nonlinear regressor is developed using the underlying noncommutative algebraic and combinatorial structures. The method is demonstrated in an adaptive control application involving a two-input, two-output Lotka-Volterra dynamical system. (C) 2020 Elsevier Ltd. All rights reserved.