A Singular Value Decomposition Based Closed Loop Stability Preserving Controller Reduction Method

Summary, in English

In this paper a controller reduction method which preserves closed loop stability is described. A Lyapunov inequality based sufficient condition is proposed in the search of the reduced controller. The reduced controller leads to a stable closed loop system with guaranteed approximation quality. Furthermore, the proposed problem can be formulated as a matrix approximation problem which can be solved efficiently using singular value decomposition. Numerical application examples are shown in the end to evaluate the generality of the proposed reduction method.

• Author: Kin Cheong Sou; Anders Rantzer
• Department/s: Department of Automatic Control; ELLIIT: the Linköping-Lund initiative on IT and mobile communication
• Publishing year: 2010
• Language: English
• Pages: 1079-1084
• Publication/Series: American Control Conference (ACC), 2010
• Document type: Conference paper
• Publisher: IEEE - Institute of Electrical and Electronics Engineers Inc.
• Topic: Control Engineering
• Conference name: American Control Conference, 2010
• Conference date: 2010-06-30 - 2010-07-02
• Conference place: Baltimore, MD, United States
• Status: Published
• Research group: LCCC
• ISBN/ISSN/Other: ISSN: 0743-1619; ISBN: 978-1-4244-7426-4