Systems and Control Letters, Volume (82), No (1), Year (2015-4) , Pages (40-50)

Title : ( An iterative method for suboptimal control of linear time-delayed systems )

Authors: Seyed Mehdi Mirhosseini-Alizamini , Sohrab Effati , Aghileh Heydari ,

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This article presents a new approach for solving the Optimal Control Problem (OCP) of linear timedelay 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.


, Time-delay systems, Pontryagin’s maximum principle, Variational iteration method, He’s polynomials Suboptimal
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author = {Seyed Mehdi Mirhosseini-Alizamini and Effati, Sohrab and Aghileh Heydari},
title = {An iterative method for suboptimal control of linear time-delayed systems},
journal = {Systems and Control Letters},
year = {2015},
volume = {82},
number = {1},
month = {April},
issn = {0167-6911},
pages = {40--50},
numpages = {10},
keywords = {Time-delay systems; Pontryagin’s maximum principle; Variational iteration method; He’s polynomials Suboptimal control},


%0 Journal Article
%T An iterative method for suboptimal control of linear time-delayed systems
%A Seyed Mehdi Mirhosseini-Alizamini
%A Effati, Sohrab
%A Aghileh Heydari
%J Systems and Control Letters
%@ 0167-6911
%D 2015