Title
An Explicit Reference Governor for the Intersection of Concave Constraints
Abstract
The explicit reference governor (ERG) is a simple and systematic approach that provides constraint handling capabilities to prestabilized systems. The basic idea behind this approach is to translate state and input constraints into an upper-bound on the value of the Lyapunov function, which is then enforced by suitably manipulating the derivative of the applied reference. When designing the ERG, one of the main challenges is the determination of an upper-bound on the value of the Lyapunov function that ensures constraints satisfaction. This paper proposes a systematic approach for estimating online the optimal upper-bound for systems subject to the intersection of concave constraints. To do this, the Barrier function method is used. The effect of the estimation error caused by the time-varying nature of the auxiliary reference on the constraint satisfaction capability of the ERG is studied analytically. A procedure is proposed to modify the estimated upper-bound to avoid constraints violation in the presence of estimation errors. The effectiveness of the proposed scheme is demonstrated through a simulation study on an overhead gantry crane system.
Year
DOI
Venue
2020
10.1109/TAC.2019.2906467
IEEE Transactions on Automatic Control
Keywords
Field
DocType
Lyapunov methods,Optimization,Systematics,Noise measurement,Trajectory,Nonlinear systems
Reference governor,Mathematical optimization,Mathematics
Journal
Volume
Issue
ISSN
65
1
0018-9286
Citations 
PageRank 
References 
1
0.37
6
Authors
2
Name
Order
Citations
PageRank
Mehdi Hosseinzadeh120544.92
Emanuele Garone232438.77