Disturbance decoupling by state feedback for uncertain impulsive linear systems. (5th April 2021)

• Record Type: Journal Article
• Authors: Conte, Giuseppe; Perdon, Anna Maria; Otsuka, Naohisa; Zattoni, Elena
• Is Part Of: International journal of robust and nonlinear control. Volume 31:Number 10(2021)
• Page Start: 4729
• Page End: 4743
• Publication Date: 2021-04-05
• Subjects: disturbance decoupling -- stability -- state feedback -- structural methods -- uncertain impulsive systems; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5501
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: The problem of making the output of a linear system with polytopic uncertainties and discontinuities in the state evolution totally insensitive to an unknown disturbance input by state feedback is investigated. Suitable geometric notions are introduced and used to provide a structural, constructive solvability condition. The requirement of achieving global robust asymptotic stability of the compensated dynamics is then added and further solvability conditions are provided by requiring that the time instants at which discontinuities in the state evolution, or jumps, occur are sufficiently far from each other.