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Author Aguilar, Cesar O. ♦ Krener, Arthur J.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2011
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Trajectory ♦ Approximation methods ♦ Polynomials ♦ Optimal control ♦ Nonlinear systems ♦ Mathematical model
Abstract In this paper we construct high-order approximate solutions to the value function and optimal control for a finite-horizon optimal control problem for time-varying discrete-time nonlinear systems. The method consists in expanding the dynamic programming equations (DPE) in a power series, collecting homogeneous polynomial terms and solving for the unknown coefficients from the known and previously computed data. The resulting high-order equations are linear difference equations for the unknown homogeneous terms and are solved backwards in time. The method is applied to construct high-order perturbation controllers around a nominal optimal trajectory.
Description Author affiliation: National Research Council Postdoctoral Award at the Department of Applied Mathematics, Naval Postgraduate School, 833 Dyer Rd., Bldg. 232, Monterey, CA 93943, USA (Aguilar, Cesar O.; Krener, Arthur J.)
ISBN 9781612848006
ISSN 07431546
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2011-12-12
Publisher Place USA
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
e-ISBN 9781612848013
Size (in Bytes) 212.75 kB
Page Count 6
Starting Page 397
Ending Page 402

Source: IEEE Xplore Digital Library