Title
Constrained control of continuous-time minimum-phase systems global output reference tracking results
Abstract
Minimum phase systems are the only systems that allow (in disturbance-free unconstrained case) the achievement of perfect tracking in presence of arbitrary reference signals. The question is whether this still holds when the control input is subject to input saturation constraint. Surprisingly, most works on global output tracking in presence of input saturation focused on nonminimum phase systems. Then, perfect tracking is only achievable for constant references. In this paper, it is shown that more powerful tracking results are achievable for minimum phase systems. Specifically, perfect tracking is guaranteed for arbitrary type reference signals that satisfy a well defined strict compatibility condition. When, the reference signal is just compatible in the mean then the tracking quality depends on the reference variation rate. For periodic reference signals (not necessarily compatible with the constraint), all the closed-loop system signals are shown to be periodic with the same period.
Year
Venue
Keywords
2009
Control Conference
closed loop systems,continuous time systems,linear systems,signal processing,arbitrary type reference signals,closed-loop system signals,constrained control,continuous-time minimum-phase systems,disturbance-free unconstrained case,global output reference tracking,nonminimum phase systems,periodic reference signals,reference variation rate,tracking quality,minimum phase systems,incremental stability,input saturation constraint,input-output stability,output reference tracking,stability analysis,steady state,polynomials
Field
DocType
ISBN
Saturation (chemistry),Polynomial,Control theory,Steady state,Periodic graph (geometry),Mathematics,Minimum phase
Conference
978-3-9524173-9-3
Citations 
PageRank 
References 
0
0.34
1
Authors
4
Name
Order
Citations
PageRank
Giri, F.100.34
J. B. Gning2122.45
f z chaoui3155.38
Chater, E.421.16