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- Title
Finite-time control of linear systems subject to time-varying disturbances.
- Authors
LINNA ZHOU; YUCHEN HAN; CHUNYU YANG
- 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.
- Subjects
LINEAR systems; MATHEMATICAL models; LINEAR matrix inequalities; MATHEMATICAL inequalities; PSYCHOLOGICAL feedback
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 3, p765
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnv073