Paper Info
Title
Generalized bang-bang control for feedforward constrained regulation
Abstract
In the behavioral framework for continuous-time linear scalar systems, simple sufficient conditions for the solution of the minimum-time rest-to-rest feedforward constrained control problem are provided. The investigation of the time-optimal input–output pair reveals that the input or the output saturates on the assigned constraints at all times except for a set of zero measure. The resulting optimal input is composed of sequences of bang–bang functions and linear combinations of the modes associated to the zero dynamics. This signal behavior constitutes a generalized bang–bang control that can be fruitfully exploited for feedforward constrained regulation. Using discretization, an arbitrarily good approximation of the optimal generalized bang–bang control is found by solving a sequence of linear programming problems. Numerical examples are included.
Year
DOI
Venue
2009
10.1016/j.automatica.2009.06.030
San Diego, CA
Keywords
Field
DocType
linear combination,input–output constraints,optimal input,zero dynamic,linear programming,linear programming problem,optimal generalized bang-bang control,feedforward control,continuous-time linear scalar system,control problem,set-point constrained regulation,generalized bang-bang control,minimum-time rest-to-rest feedforward,minimum-time control,bang-bang function,generalized bang–bang control,linear systems,feedforward,regulation,input output,linear system,optimal control,bang bang control,linear program
Linear combination,Discretization,Mathematical optimization,Bang–bang control,Optimal control,Linear system,Control theory,Linear programming,Minimum time,Mathematics,Feed forward
Journal
Volume
Issue
ISSN
45
10
Automatica
ISBN
Citations 
PageRank 
1-4244-0171-2
10
1.22
References 
Authors
3
2
Name
Order
Citations
PageRank
Luca Consolini127631.16
Aurelio Piazzi213219.44