Back to Search
Start Over
New insight into reachable set estimation for uncertain singular time-delay systems.
- Source :
-
Applied Mathematics & Computation . Mar2018, Vol. 320, p769-780. 12p. - Publication Year :
- 2018
-
Abstract
- This paper investigates the problem of reachable set estimation for a class of uncertain singular systems with time-varying delays from a new point of view. Our consideration is centered on the design of a proportional-derivative state feedback controller (PDSFC) such that the considered singular system is robustly normalizable and all the states of the closed-loop system can be contained by a bounded set under zero initial conditions. First, a nominal singular time-delay system is considered and sufficient conditions are obtained in terms of matrix inequalities for the existence of a PDSFC and an ellipsoid. In this case, the considered system is guaranteed to be normalizable and the reachable set of the closed-loop systems is contained by the ellipsoid. Then, the result is extended to the case of singular time-delay systems with polytopic uncertainties and relaxed conditions are derived by introducing some weighting matrix variables. Furthermore, based on the obtained results, the reachable set of the considered closed-loop singular system can be contained in a prescribed ellipsoid. Finally, the effectiveness of our results are demonstrated by two numerical examples. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CLOSED loop systems
*TIME delay systems
*MATRIX inequalities
*ELLIPSOIDS
*ACTUATORS
Subjects
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 320
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 126185950
- Full Text :
- https://doi.org/10.1016/j.amc.2017.10.035