Bounds for Input- and State-to-Output Properties of Uncertain Linear Systems∗. Issue 14 (2015)

• Record Type: Journal Article
• Authors: Valmorbida, Giorgio; Raman, Dhruva; Anderson, James
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 14(2015)
• Page Start: 1
• Page End: 6
• Publication Date: 2015
• Subjects: Robust control -- Uncertainty analysis -- Linear systems -- Semi-definite Programming; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.09.424
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: We consider the effect of parametric uncertainty on properties of Linear Time Invariant systems. Traditional approaches to this problem determine the worst-case gains of the system over the uncertainty set. Whilst such approaches are computationally tractable, the upper bound obtained is not necessarily informative in terms of assessing the influence of the parameters on the system performance. We present theoretical results that lead to simple, convex algorithms producing parametric bounds on the ℒ2 -induced input-to-output and state-to-output gains as a function of the uncertain parameters. These bounds provide quantitative information about how the uncertainty affects the system.