Performance boundary mapping for continuous and discrete time linear systems. (September 2019)

• Record Type: Journal Article
• Authors: Voßwinkel, Rick; Pyta, Lorenz; Schrödel, Frank; Mutlu, İlhan; Mihailescu-Stoica, Dinu; Bajcinca, Naim
• Is Part Of: Automatica. Volume 107(2019)
• Page Start: 272
• Page End: 280
• Publication Date: 2019-09
• Subjects: Stability analysis -- Performance -- Linear systems -- Matrix formulations -- Lyapunov methods; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2019.05.055
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: Mapping of performance specification into parameter space for LTI systems is discussed from the perspective of the Lyapunov equation. After setting the main results on stability, corresponding formulations for a variety of performance criteria (e.g. settling time, damping and frequency-based criteria) are discussed. Thereby, the original performance mapping problem is transformed to a stability problem with modified system matrices that include free control and/or design parameters. The proposed performance mapping approach is demonstrated on two benchmark case studies of practical interest.