Title :
On the computation of the nonlinearity measure
Author :
Sourlas, Dennis D. ; Manousiouthakis, Vasilios
Author_Institution :
Dept. of Chem. Eng., Missouri Univ., Rolla, MO, USA
Abstract :
The goal of the paper is the calculation of the nonlinearity measure of a nonlinear system over a bounded set of input signals. A relaxation procedure is proposed that employs converging upper and lower bounds to the value of the nonlinearity measure. For a nonlinear BIBO stable system, the calculation of the lower bound reduces to a sequence of linear programming problems. If in addition, the system is realized as a second order Volterra operator, the upper bound is calculated through global solution of an indefinite quadratic program
Keywords :
Volterra series; control nonlinearities; control system synthesis; linear programming; nonlinear control systems; quadratic programming; stability; global solution; indefinite quadratic program; lower bound; nonlinear BIBO stable system; nonlinearity measure; relaxation procedure; second order Volterra operator; upper bound; Chemical engineering; Control system synthesis; Design methodology; Distortion measurement; Infinite horizon; Linear approximation; Linear programming; Nonlinear systems; Robust control; Upper bound;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758488
