Time-limited Gramians-based model order reduction for second-order form systems. (May 2019)

• Record Type: Journal Article
• Authors: Haider, Shafiq; Ghafoor, Abdul; Imran, Muhammad; Malik, Fahad Mumtaz
• Other Names: Engin Şeref Naci guest-editor.
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 41:Number 8(2019)
• Page Start: 2310
• Page End: 2318
• Publication Date: 2019-05
• Subjects: Time-limited Gramians -- model order reduction -- second-order form systems; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331218798893
• Languages: English
• ISSNs: 0142-3312

Abstract

A new scheme for model order reduction of large-scale second-order systems in time-limited intervals is presented. Time-limited Gramians that are solutions of continuous-time algebraic Lyapunov equations for second-order form systems are introduced. Time-limited second-order balanced truncation procedures with provision of balancing position and velocity Gramians are formulated. Stability conditions for reduced-order models are stated and algorithms that preserve stability in reduced-order models are discussed. Numerical examples are presented to validate the superiority of the proposed scheme compared with the infinite-time Gramians technique for time-limited applications.