Receding horizon control for state delayed systems with its stability

In this paper a receding horizon control for state delayed systems is presented. The proposed controller is simple to construct and thus can be easily implemented in real applications. In deriving the proposed controller, an optimal control problem is solved to minimize control energy subject to a t...

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Published inProceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) Vol. 2; pp. 1555 - 1560 vol.2
Main Authors Wook Hyun Kwon, Jin Won Kang, Young Soo Moon
Format Conference Proceeding
LanguageEnglish
Published IEEE 1999
Subjects
Aerodynamics
Control systems
Delay systems
Eigenvalues and eigenfunctions
Feedback control
Linear matrix inequalities
Open loop systems
Optimal control
Stability
Sufficient conditions
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Summary:In this paper a receding horizon control for state delayed systems is presented. The proposed controller is simple to construct and thus can be easily implemented in real applications. In deriving the proposed controller, an optimal control problem is solved to minimize control energy subject to a terminal state condition, and then the receding horizon strategy is applied to result in closed loop feedback control. To check the closed loop stability of the proposed controller, a sufficient condition is provided in terms of linear matrix inequalities. In addition, a numerical algorithm for stability checking is presented to compute the eigenvalues of state delayed systems, which can be applied to general distributed delay systems with noncommensurable multiple delays.
ISBN:9780780352506
0780352505
ISSN:0191-2216
DOI:10.1109/CDC.1999.830225