Stability Margin Determination of Linear Discrete‐Time Systems Described By Fuzzy Convex Sets Uncertainty. Issue 3 (8th June 2015)

• Record Type: Journal Article
• Authors: Hallaji, Majid; Zare, Assef
• Is Part Of: Asian journal of control. Volume 18:Issue 3(2016)
• Page Start: 954
• Page End: 963
• Publication Date: 2015-06-08
• Subjects: Fuzzy convex sets uncertainty -- linear discrete‐time systems -- stability margin -- nonlinear programming; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1167
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper proposes a new method for determining the stability margin of uncertain linear discrete‐time systems with uncertainty described by fuzzy convex sets. Nonsymmetrical triangular membership functions describing the uncertainty of characteristic polynomial coefficients are considered. This method is based on transformation of the uncertain discrete systems to the continuous time area and generalization of Kharitonov theorem for determining the uncommon minimum confidence level that guarantees stability of the system.