Choosing the best conic sector bounds to characterize system nonlinearity

Philip M. FitzSimons*, Chang-Po Chao

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

3 Scopus citations

Abstract

This paper presents a methodology for deriving the best conic sector bounds to characterize a nonlinear multivariable plant. The plant nonlinearities are assumed to be Lipschitz within the plant's domain of operation. Our goal is to minimize the uncertain regions in parameter space required to represent the system nonlinearities over a specified compact domain. An optimization problem is formulated to find the best conic sector bounds. Although this problem is not convex, we make a number of observations and draw conclusions regarding the relationships between the variables, objective function and equality constraints. We use the Sequential Quadratic Programming method as implemented in MatLab's optimization toolbox to demonstrate the technique on a number of example 2-D nonlinearities.

Original languageEnglish
Pages61-69
Number of pages9
StatePublished - 1 Dec 1994
EventProceedings of the 1994 International Mechanical Engineering Congress and Exposition - Chicago, IL, USA
Duration: 6 Nov 199411 Nov 1994

Conference

ConferenceProceedings of the 1994 International Mechanical Engineering Congress and Exposition
CityChicago, IL, USA
Period6/11/9411/11/94

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