On the synthesis of a stabilizing feedback control

Authors:
Mikhail I. Krastanov
Affiliations:
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Venue:
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
Year:
2005

Citing 6
Cited 0

Controllability of piecewise linear systems

Systems & Control Letters
Game-theoretical control problems

Game-theoretical control problems
Mathematical control theory: deterministic systems

Mathematical control theory: deterministic systems
On the Stabilization in Finite Time of Locally Controllable Systems by Means of Continuous Time-Varying Feedback Law

SIAM Journal on Control and Optimization
Nonsmooth analysis and control theory

Nonsmooth analysis and control theory
On the controllability of switching linear systems

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.00

Visualization

Abstract

Starting from states near to a closed set S we want to steer S and to stay always close to S. Unfortunately, open-loop controls are very sensitive to disturbances and can lead to very bad practical results. For that reason, we propose an approach for constructing a discontinuous feedback control law that asymptotically stabilizes the system in a neighborhood of the set S.