6533b7d4fe1ef96bd126318d

RESEARCH PRODUCT

Linear parameter estimation and predictive constrained control of wiener/hammerstein systems

Krzysztof J. LatawiecRyszard RojekGustavo H. C. OliveiraCzeslaw Marciak

subject

Nonlinear systemModel predictive controlAdaptive controlEstimation theoryControl theoryAdaptive systemAdaptive estimatorInverseNonlinear controlMathematics

description

Abstract A new, analytical, orthonormal basis functions (OBF)-based design methodology for adaptive predictive constrained control of open-loop stable, possibly nonminimum phase, time-varying Wiener and Hammerstein systems is presented. A linear adaptive least-squares parameter estimation algorithm is applied both to a nonlinear static part and a linear dynamic, OBF-modeled factor of the Wiener/Hammerstein system. A notion of inverse systems is crucial for linear estimation of both Wiener and Hammerstein systems, with in verses of the nonlinear or linear parts respectively involved. The adaptive estimator is coupled with a simple but robust, predictive control strategy called Extended Horizon Model Algorithmic Control, with input/output constraints handled in a trivial way. Simulation examples demonstrate computational and numerical effectiveness of the new adaptive nonlinear constrained control approach.

https://doi.org/10.1016/s1474-6670(17)34785-7