An extended looped‐functional for stability analysis of sampled‐data systems. (9th September 2020)

• Record Type: Journal Article
• Authors: Park, JunMin; Park, PooGyeon
• Is Part Of: International journal of robust and nonlinear control. Volume 30:Number 18(2020)
• Page Start: 7962
• Page End: 7969
• Publication Date: 2020-09-09
• Subjects: linear matrix inequalities -- looped‐functional -- networked control systems -- sampled‐data control; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5221
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This article introduces an extended looped‐functional for stability analysis of sampled‐data systems. It is defined as a differentiable functional over an interval between two consecutive sampling instants which has a property that the difference between its values at the latter sampling instant and at the former sampling instant is nonnegative. The proposed looped‐functional includes the existing discontinuous Lyapunov functional and looped‐functional as special cases. Based on the proposed looped‐functional, improved stability criteria are derived in terms of linear matrix inequalities. Three examples show the effectiveness of the proposed criteria in the view of maximum allowable sampling intervals.