Receding Horizon H∞ Control for Input-Delayed Systems
Joint Authors
Han, Soohee
Yoo, Han Woong
Lee, Young Sam
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-18
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We propose the receding horizon H∞ control (RHHC) for input-delayed systems.
A new cost function for a finite horizon dynamic game problem is first introduced, which includes two terminal weighting terms parameterized by a positive definite matrix, called a terminal weighing matrix.
Secondly, the RHHC is obtained from the solution to the finite dynamic game problem.
Thirdly, we propose an LMI condition under which the saddle point value satisfies the nonincreasing monotonicity.
Finally, we show the asymptotic stability and H∞ boundedness of the closed-loop system controlled by the proposed RHHC.
The proposed RHHC has a guaranteed H∞ performance bound for nonzero external disturbances and the quadratic cost can be improved by adjusting the prediction horizon length for nonzero initial condition and zero disturbance, which is not the case for existing memoryless state-feedback controllers.
It is shown through a numerical example that the proposed RHHC is stabilizing and satisfies the infinite horizon H∞ performance bound.
Furthermore, the performance in terms of the quadratic cost is shown to be improved by adjusting the prediction horizon length when there exists no external disturbance with nonzero initial condition.
American Psychological Association (APA)
Yoo, Han Woong& Han, Soohee& Lee, Young Sam. 2012. Receding Horizon H∞ Control for Input-Delayed Systems. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029848
Modern Language Association (MLA)
Yoo, Han Woong…[et al.]. Receding Horizon H∞ Control for Input-Delayed Systems. Mathematical Problems in Engineering No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1029848
American Medical Association (AMA)
Yoo, Han Woong& Han, Soohee& Lee, Young Sam. Receding Horizon H∞ Control for Input-Delayed Systems. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029848
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029848