Finite-time control of linear systems subject to time-varying disturbances. (12th January 2016)

• Record Type: Journal Article
• Authors: Zhou, Linna; Han, Yuchen; Yang, Chunyu
• Is Part Of: IMA journal of mathematical control and information. Volume 34:Number 3(2017)
• Page Start: 765
• Page End: 777
• Publication Date: 2016-01-12
• Subjects: linear systems -- time-varying disturbances -- comparison theorem -- quasi finite-time stability -- quasi finite-time boundedness; Control theory -- Periodicals; 629.831205
• DOI: 10.1093/imamci/dnv073
• Languages: English
• ISSNs: 0265-0754

Abstract

Abstract: This paper considers finite-time control of linear systems subject to time-varying disturbances. The concepts of quasi finite-time stability and quasi finite-time boundedness are defined and a sufficient condition for a linear system with disturbances to be quasi finite-time bounded is derived. It is shown that the notions are more general and the condition is less conservative than the existing ones. A state feedback controller design method is given to solve the finite-time control problem. All the conditions are then reduced to feasibility problems involving linear matrix inequalities and numerical examples are given to illustrate the obtained results.