LMI characterization of reduced-order H∞ controllers via invariant zero structure

✍ Scribed by Takao Watanabe

• Book ID: 104300643
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 323 KB
• Volume: 50
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(03)00150-6

✦ Synopsis

In this paper, we clarify a new relationship between invariant zeros of a generalized plant and the order reduction of H∞ controllers by using linear matrix inequalities in both continuous-time and discrete-time cases. In contrast with our recent paper, where a relationship between an unstable transmission-zero structure and the H∞ controller order reduction is initiated in a fundamental manner, results obtained in this paper are more exible in two senses: assumptions that are made for the generalized plant are relaxed, and stable as well as unstable invariant zeros are characterized to obtain a reduced-order H∞ controller.