Title :
Parameter estimation for nonlinear dynamic systems from a feedback control viewpoint
Author :
Zhu, Xuemei ; Wang, Shuqing ; Li, Pu ; Wozny, Gunter
Author_Institution :
Coll. of Electr. & Autom. Eng., Nanjing Normal Univ., China
Abstract :
The estimation of time-variant parameters in nonlinear models remains as an open problem. In this work, we propose a new approach to addressing this problem by tuning weighting factors in the least-squares dynamic optimization. Through analysis of the solution procedure of the resulting optimization problem, it is found that parameter estimation with a weighted least-squares method is equivalent to a multi-variable closed-loop control system. The weighting factors in the objective function are equivalent to the controller parameters. Like any control system synthesis, the tuning can be made based on the output-input sensitivity analysis. The effectiveness of the approach is illustrated by estimating tray efficiencies and feed composition of a heat-integrated distillation column system.
Keywords :
control system synthesis; distillation; dynamic programming; feedback; least squares approximations; nonlinear dynamical systems; parameter estimation; sensitivity analysis; control system synthesis; feed composition; feedback control; heat-integrated distillation column system; least-squares dynamic optimization; nonlinear dynamic systems; nonlinear models; objective function; output-input sensitivity analysis; parameter estimation; time-variant parameters; tray efficiency; weighting factor tuning; Constraint optimization; Control system synthesis; Control systems; Feedback control; Maximum likelihood estimation; Nonlinear dynamical systems; Optimization methods; Parameter estimation; Process control; Sensitivity analysis;
Conference_Titel :
Control and Automation, 2005. ICCA '05. International Conference on
Print_ISBN :
0-7803-9137-3
DOI :
10.1109/ICCA.2005.1528102