Abstract
Approximate dynamic programming is utilized in this study to develop solutions for optimal switching problems. The order of the active subsystems and the number of switches are free, and an online solution is developed that produces optimal performance. Motivated by the development in the adaptive critic's literature, the proposed method uses a critic and as many actors as the number of subsystems in order to conduct optimal scheduling in real-time based on the instantaneous states of the system. It is observed that once the neural networks are trained offline based on the proposed algorithm, they provide solutions for a range of initial conditions and different final times. Finally, the theoretical results are analyzed with numerical results from a fourth order switching system. © 2014 American Automatic Control Council.
Recommended Citation
A. Heydari and S. N. Balakrishnan, "Optimal Switching of Nonlinear Systems with Free Mode Sequence," Proceedings of the American Control Conference, pp. 3960 - 3965, article no. 6859112, Institute of Electrical and Electronics Engineers, Jan 2014.
The definitive version is available at https://doi.org/10.1109/ACC.2014.6859112
Department(s)
Mechanical and Aerospace Engineering
Keywords and Phrases
Neural networks; Optimal control; Switched systems
International Standard Book Number (ISBN)
978-147993272-6
International Standard Serial Number (ISSN)
0743-1619
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Jan 2014
