Iterative ADP Algorithm Convergence Proof in Time Delay Nonlinear System

Article Preview

Abstract:

Time delay phenomenon of nonlinear system is the objective phenomenon exists in nature. Because the control inputs also contain time delays, the presence of the time delay makes the system current input and time delay input exist coupling. The derivative of the performance index function can not be directly derived display expressions of optimal control. Using the adaptive dynamic programming (ADP) iterative algorithm to solve time delay equation, and the convergence proof is given. The optimal control law of the system can be obtained by the performance index function approximate solution.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 798-799)

Pages:

712-715

Citation:

Online since:

September 2013

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] J. C. Spall: Multivariate stochastic approximation using a simultaneous perturbation gradient approximation, IEEE Transactions on Automatic Control, Vol. 37(1992), p.332–341.

DOI: 10.1109/9.119632

Google Scholar

[2] X. Wang, B. Huang, T. W. Chen: Multirate minimum variance control design and performance assessment: a data-driven subspace approach, IEEE Transactions on Control Systems Technology, Vol. 15(2007), pp.65-74.

DOI: 10.1109/tcst.2006.883240

Google Scholar

[3] L. P. Yan, B. S. Liu, D. H. Zhou: An asynchronous multirate multisensor information fusion algorithm, IEEE Transactions on Aerospace and Electronic Systems, Vol. 43(2007), pp.1135-1146.

DOI: 10.1109/taes.2007.4383603

Google Scholar

[4] J. M. Lee, J. H. Lee: Approximate dynamic programming-based approaches for input-output data-driven control of nonlinear processes, Automatica, Vol. 41(2005), pp.1281-1288.

DOI: 10.1016/j.automatica.2005.02.006

Google Scholar

[5] Y. L. Murphey, J. A. Crossman, Z. H. Chen, J. Cardillo: Automotive fault diagnosis -part II: a distributed agent diagnostic system, IEEE Transactions on Vehicular Technology, Vol. 52(2003), pp.1076-1098.

DOI: 10.1109/tvt.2003.814236

Google Scholar

[6] R. Polikar: Essemble based systems in decision making, IEEE Circuits and Systems Magazine, Vol. 6(2006), pp.21-45.

Google Scholar