Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published December 1996 | Published
Book Section - Chapter Open

Nonlinear Games: examples and counterexamples

Abstract

Popular nonlinear control methodologies are compared using benchmark examples generated with a "converse Hamilton-Jacobi-Bellman" method (CoHJB). Starting with the cost and optimal value function V, CoHJB solves HJB PDEs "backwards" algebraically to produce nonlinear dynamics and optimal controllers and disturbances. Although useless for design, it is great for generating benchmark examples. It is easy to use, computationally tractable, and can generate essentially all possible nonlinear optimal control problems. The optimal control and disturbance are then known and can be used to study actual design methods, which must start with the cost and dynamics without knowledge of V. This paper gives a brief introduction to the CoHJB method and some of the ground rules for comparing various methods. Some very simple examples are given to illustrate the main ideas. Both Jacobian linearization and feedback linearization combined with linear optimal control are used as "strawmen" design methods.

Additional Information

© 1996 IEEE.

Attached Files

Published - 00577292.pdf

Files

00577292.pdf
Files (393.3 kB)
Name Size Download all
md5:e83cfdd2b1cae622cf6aa6c3a6857b27
393.3 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
January 13, 2024