Numerical examples for the convergent robustness measures in nonlinear discrete-time systems

Author

Eslami, Mansour

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Illinois Univ., Chicago, IL, USA

Volume

4

fYear

1994

fDate

14-16 Dec 1994

Firstpage

3840

Abstract

Certain aspects of constructing the largest class of asymptotically convergent (stable) systems which surrounds a convergent nonlinear system are presented. This study is also known as absolute stability or a sector problem. We present three numerical examples to show the applications of these results, namely, in: (i) linear systems with linear multiple parameter variations; (ii) nonlinear systems with linear multiple parameter variations and multiple nonlinearities; and (iii) linear systems with multiple nonlinear parameter variations. These building-blocks examples can be assembled to solve a complicated nonlinear system with multiple nonlinear parameter variations

Keywords

absolute stability; asymptotic stability; discrete time systems; nonlinear control systems; robust control; absolute stability; asymptotically convergent systems; asymptotically stable systems; complicated nonlinear system; convergent robustness measures; linear multiple parameter variations; linear systems; multiple nonlinear parameter variations; nonlinear discrete-time systems; sector problem; Assembly systems; Asymptotic stability; Computer science; Linear systems; Lyapunov method; Nonlinear systems; Optical wavelength conversion; Robust stability; Robustness; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on

Conference_Location

Lake Buena Vista, FL

Print_ISBN

0-7803-1968-0

Type

conf

DOI

10.1109/CDC.1994.411763

Filename

411763