On the geometric structures of the H∞ controllers for descriptor systems. (September 2018)

• Record Type: Journal Article
• Authors: Wu, Po-Feng; Yung, Chee-Fai; Wang, He-Sheng
• Is Part Of: Automatica. Volume 95(2018)
• Page Start: 552
• Page End: 555
• Publication Date: 2018-09
• Subjects: Descriptor systems -- H∞ control problem -- Generalized algebraic Riccati equations -- Geometric control theory; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.06.018
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: In this paper, we explore the geometric structures of the H ∞ central controllers for descriptor systems based on the notions of deflating subspaces for singular matrix pencil. A reduced order H ∞ controller is given based on the geometric structures addressed in this paper. The geometric connection between the plant and the H ∞ controllers is then studied. A numerical example is provided. In terms of the notions of deflating subspaces, all the results and proofs given are clear and simple.