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Author Basin, M. ♦ Calderon-Alvarez, D.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2008
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Optimal control ♦ Nonlinear control systems ♦ Control systems ♦ Stochastic systems ♦ Polynomials ♦ Regulators ♦ Nonlinear filters ♦ Differential equations ♦ Filtering ♦ Nonlinear equations
Abstract This paper presents the optimal quadratic-Gaussian controller for stochastic nonlinear polynomial systems with linear control input and a quadratic criterion over linear observations. The optimal closed-form controller equations are obtained using the separation principle, whose applicability to the considered problem is substantiated. As an intermediate result, the paper gives a closed-form solution of the optimal regulator (control) problem for nonlinear polynomial systems with linear control input and a quadratic criterion. Performance of the obtained optimal controller is verified in the illustrative example against the conventional LQG controller that is optimal for linearized systems. Simulation graphs demonstrating overall performance and computational accuracy of the designed optimal controller are included.
Description Author affiliation: Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, Leon, Mexico (Basin, M.; Calderon-Alvarez, D.)
ISBN 9781424431236
ISSN 01912216
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2008-12-09
Publisher Place Mexico
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 174.91 kB
Page Count 6
Starting Page 4755
Ending Page 4760


Source: IEEE Xplore Digital Library