Title data
Braun, Philipp ; Kellett, Christopher M. ; Zaccarian, Luca:
Unsafe Point Avoidance in Linear State Feedback.
Newcastle, Australia
,
2018
.  8 p.
Project information
Project title: 



Project financing: 
ARC (Australian Research Council) 
Abstract in another language
We propose a hybrid solution for the stabilization of the origin of a linear timeinvariant stabilizable system with the property that a suitable neighborhood of a predefined unsafe point in the state space is avoided by the closedloop solutions. Hybrid tools are motivated by the fact that the task at hand cannot be solved with continuous feedback, whereas the proposed hybrid solution induces nominal and robust asymptotic stability of the origin. More specifically, we formulate a semiglobal version of the problem at hand and describe a fully constructive approach under the assumption that the unsafe point to be avoided does not belong to the equilibrium subspace induced by the control input on the linear dynamics. The approach is illustrated on a numerical example.
Further data
Item Type:  Preprint, postprint, working paper, discussion paper 

Keywords:  closedloop stability of linear systems; hybrid systems; state constraints; obstacle avoidance 
Institutions of the University:  Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics 
Result of work at the UBT:  Yes 
DDC Subjects:  500 Science > 510 Mathematics 
Date Deposited:  03 Mar 2018 22:00 
Last Modified:  18 Mar 2019 09:23 
URI:  https://eref.unibayreuth.de/id/eprint/42474 