An Augmented Lagrangian Method for the Optimal H∞ Model Order Reduction Problem
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper treats the computational method of the optimal H∞ model order reduction (MOR) problem of linear time-invariant (LTI) systems.
Optimal solution of MOR problem of LTI systems can be obtained by solving the LMIs feasibility coupling with a rank inequality constraint, which makes the solutions much harder to be obtained.
In this paper, we show that the rank inequality constraint can be formulated as a linear rank function equality constraint.
Properties of the linear rank function are discussed.
We present an iterative algorithm based on augmented Lagrangian method by replacing the rank inequality with the linear rank function.
Convergence analysis of the algorithm is given, which is distinct to the now available heuristic methods.
Numerical experiments for the MOR problems of continuous LTI system illustrate the practicality of our method.
American Psychological Association (APA)
Hongli, Yang& Zhao, Maoxian. 2017. An Augmented Lagrangian Method for the Optimal H∞ Model Order Reduction Problem. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1192253
Modern Language Association (MLA)
Hongli, Yang& Zhao, Maoxian. An Augmented Lagrangian Method for the Optimal H∞ Model Order Reduction Problem. Mathematical Problems in Engineering No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1192253
American Medical Association (AMA)
Hongli, Yang& Zhao, Maoxian. An Augmented Lagrangian Method for the Optimal H∞ Model Order Reduction Problem. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1192253
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192253