Premium
Subdivision algorithm for optimal control
Author(s) -
Taraba Peter
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2801
Subject(s) - subdivision , set (abstract data type) , algorithm , computer science , mathematical optimization , nonlinear system , optimal control , function (biology) , state space , state (computer science) , memory footprint , mathematics , engineering , statistics , civil engineering , physics , quantum mechanics , evolutionary biology , biology , programming language , operating system
SUMMARY We present a novel algorithm for optimal control of nonlinear systems based on a subdivision algorithm. The algorithm presented in this paper is an alternative to a set‐oriented approach for optimal feedback stabilization. We compare the proposed algorithm to the set‐oriented approach, contrast these two approaches, and use examples to show that the new algorithm produces comparable results. Also, we demonstrate by example that we receive a precomputed optimal solution. The main contribution of the paper is understanding how cost function improves with further subdivision of state space and smaller memory footprint of the final solution in comparison with set‐oriented approach. Copyright © 2012 John Wiley & Sons, Ltd.