Universal regulators for optimal tracking in discrete-time systems affected by harmonic disturbances

Considers the problem of controlling a discrete-time linear system by output feedback so as to have a second output z/sub t/ track an observed reference signal r/sub t/. The authors turn to an approach to the tracking problem, which allows for damping of other system and control variables, and this...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 1999-09, Vol.44 (9), p.1688-1704
Main Authors: Lindquist, A., Yakubovich, V.A.
Format: Article
Language:English
Subjects:
Control systems
Damping
Feedback control
Frequency
Linear feedback control systems
Linear systems
Optimal control
Optimization
Output feedback
Phases
Reference signals
Regulators
Signal design
Steady-state
Tracking
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Considers the problem of controlling a discrete-time linear system by output feedback so as to have a second output z/sub t/ track an observed reference signal r/sub t/. The authors turn to an approach to the tracking problem, which allows for damping of other system and control variables, and this is our main result. The measure of performance is given by a natural quadratic cost function. The object is to design an optimal regulator which is universal in the sense that it does not depend on the unknown amplitudes and phases of r/sub t/ and w/sub t/ and is optimal for all choices of r/sub t/ and w/sub t/. The authors prove that an optimal universal regulator exists in a wide class of stabilizing and possibly nonlinear regulators under natural technical conditions and that this regulator is in fact linear, provided that the second dimensionality condition above is satisfied. On the other hand, if it is not satisfied, the existence of an optimal universal regulator is not a generic property, so as a rule no optimal universal regulator exists.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.788535