Title
Reference Tracking with Guaranteed Error Bound for Constrained Linear Systems
Abstract
We propose a control design for a constrained linear system to track reference signals within a given bounded error. The admissible reference signals are generated as output trajectories of a reference generator, which is a linear system driven by unknown bounded inputs. The controller has to track the reference signals and to never violate a given tracking error bound, while satisfying state and input constraints, for any admissible reference. The design is based on a model predictive controller (MPC) enforcing a polyhedral robust control invariant set defined by the system and reference generator models and constraints. We describe an algorithm to compute the robust control invariant set and how to design the tracking MPC law that guarantees satisfaction of the tracking error bound and of the system constraints, and achieves persistent feasibility. We demonstrate the proposed method in two case studies.
Year
DOI
Venue
2016
10.1109/TAC.2015.2491738
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Trajectory,Linear systems,Algorithm design and analysis,Robust control,Torque,Robustness,Control design
Control theory,Mathematical optimization,Algorithm design,Linear system,Control theory,Robustness (computer science),Invariant (mathematics),Robust control,Mathematics,Tracking error,Bounded function
Journal
Volume
Issue
ISSN
PP
99
0018-9286
Citations 
PageRank 
References 
3
0.47
7
Authors
2
Name
Order
Citations
PageRank
S. Cairano124926.23
Francesco Borrelli21466147.53