Numerical Solution for Nonlinear-quadratic Switching Control Systems with Time Delay

Volume 9, Issue 3, pp 175-187 http://dx.doi.org/10.22436/jmcs.09.03.03

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Authors

Fateme Ghomanjani - Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran. Mohammad Hadi Farahi - Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran. Ali Vahidian Kamyad - Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.

Abstract

This paper contributes an efficient numerical approach for optimal control of switched system with time delay via Bezier curves. A simple transformation is first used to map the optimal control problem with varying switching times into a new optimal control problem with fixed switching times. Then, the Bezier curves is used to approximate the optimal control problem a NLP. The NLP could be solved by using known algorithms.

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Keywords

• switched systems
• Bezier control points
• time delay systems
• dynamical system.

MSC

•  34E20
•  34A45
•  93C70
•  90C20

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