Paper Info
Title
An Iterative Method For Suboptimal Control Of A Class Of Nonlinear Time-Delayed Systems
Abstract
This work presents an approximate solution method for the infinite-horizon nonlinear time-delay optimal control problem. A variational iteration method (VIM) is applied to design feedforward and feedback optimal controllers. By using the VIM, the original optimal control is transformed into a sequence of nonhomogeneous linear two-point boundary value problems (TPBVPs). The existence and uniqueness of the optimal control law are proved. The optimal control law obtained consists of an accurate linear feedback term and a nonlinear compensation term which is the limit of an adjoint vector sequence. The feedback term is determined by solving Riccati matrix differential equation. By using the finite-step iteration of a nonlinear compensation sequence, we can obtain a suboptimal control law. Simulation results demonstrate the validity and applicability of the VIM.
Year
DOI
Venue
2019
10.1080/00207179.2018.1463456
INTERNATIONAL JOURNAL OF CONTROL
Keywords
DocType
Volume
Delay optimal control problems, Pontryagin's maximum principle, Riccati differential equation, variational iteration method, Lyapunov function, converse optimal control method
Journal
92
Issue
ISSN
Citations 
12
0020-7179
0
PageRank 
References 
Authors
0.34
17
2
Name
Order
Citations
PageRank
Seyed Mehdi Mirhosseini-Alizamini140.87
Effati Sohrab227630.31