Title
Weight recentered barrier functions and smooth polytopic terminal set formulations for linear model predictive control
Abstract
In the context of barrier function based model predictive control, a suitable recentering of the underlying barrier functions is essential for ensuring stability properties of the closed-loop system. We present a novel method for the recentering of logarithmic barrier functions which can be applied to a wide class of problems. In contrast to existing approaches, the recentering is achieved by a suitable weighting of the respective barrier functions and does not involve any gradient terms. In addition, a new approach towards the design of stabilizing barrier function based linear MPC formulations with polytopic terminal sets is presented which demonstrates possible benefits of the new recentering procedure.
Year
DOI
Venue
2015
10.1109/ACC.2015.7170969
ACC
Field
DocType
ISSN
Weighting,Optimal control,Computer science,Linear model,Control theory,Model predictive control,Control engineering,Exponential stability,Barrier function,Logarithm
Conference
0743-1619
ISBN
Citations 
PageRank 
978-1-4799-8685-9
5
0.54
References 
Authors
9
2
Name
Order
Citations
PageRank
Feller, C.1152.90
Christian Ebenbauer220030.31