Summary: Guaranteed­Cost Control of Polynomial Nonlinear
Systems
Ali Jadbabaie y , Chaouki T. Abdallah \Lambda , and Peter Dorato \Lambda
y Control and Dynamical Systems
Division of Engineering and Applied Science
California Institute of Technology
Mail Code 107­81
Pasadena, CA 91125
alij@cds.caltech.edu
\Lambda Department of Electrical and Computer Engineering
University of New Mexico
Albuquerque, NM 87131, USA
fchaouki,peterg@eece.unm.edu
Abstract
This paper deals with the control of a class of nonlinear sys­
tems which are affine in control and the drift and control vector
field are polynomials. The states are normalized in the closed
interval [0; 1]. THe normalized system is then transformed to
a Bernstein polynomial basis. Bernstien polynomials have this
property that they form a partition of unity. therefore the

Source: Abdallah, Chaouki T- Electrical and Computer Engineering Department, University of New Mexico

Collections: Engineering