Paper Info
Title
An iterative method for suboptimal control of linear time-delayed systems
Abstract
This article presents a new approach for solving the Optimal Control Problem (OCP) of linear time-delay systems with a quadratic cost functional. The proposed method can also be used for designing optimal control time-delay systems with disturbance. In this study, the Variational Iteration Method (VIM) is employed to convert the original Time-Delay Optimal Control Problem (TDOCP) into a sequence of nonhomogeneous linear two-point boundary value problems (TPBVPs). 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. Finally, Illustrative examples are included to demonstrate the validity and applicability of the technique.
Year
DOI
Venue
2015
10.1016/j.sysconle.2015.04.013
Systems & Control Letters
Keywords
Field
DocType
Time-delay systems,Pontryagin’s maximum principle,Variational iteration method,He’s polynomials,Suboptimal control
Boundary value problem,Mathematical optimization,Nonlinear system,Optimal control,Linear-quadratic-Gaussian control,Iterative method,Control theory,Variational iteration method,Time complexity,Matrix differential equation,Mathematics
Journal
Volume
ISSN
Citations 
82
0167-6911
4
PageRank 
References 
Authors
0.53
13
3
Name
Order
Citations
PageRank
Seyed Mehdi Mirhosseini-Alizamini140.87
Effati Sohrab227630.31
Aghileh Heydari3203.58