Kumar, Deepak (Motilal Nehru National Institute of Technology Allahabad), Jazlan, Ahmad (University of Western Australia), Sreeram, Victor (Univ. of Western Australia)

Generalized Time Limited Gramian Based Model Reduction

Scheduled for presentation during the Regular Session "Hybrid Systems and Complex Systems" (MoCOr), Monday, December 18, 2017, 13:00−13:15, Room 7

2017 Australian and New Zealand Control Conference, December 17-20, 2017, Gold Coast Convention Centre, Australia

This information is tentative and subject to change. Compiled on April 19, 2024

Abstract

In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable systems by transforming the original system into a new system which involves the solution of two Riccati equations. The proposed approach is also illustrated by a numerical example.