Paper Info
Title
Continuous-time tracking problems in an H/sub /spl infin// setting: a game theory approach
Abstract
This paper investigates the problem of finite-horizon H/sub /spl infin// tracking for linear time-varying systems. Three tracking problems are considered, depending on whether the reference signal is perfectly known in advance, measured on-line, or previewed in fixed interval of time ahead. No a priori knowledge of a dynamic model for the reference signal is assumed. A game theory approach to the latter tracking problems is presented where, given a specific reference signal, the controllers play against nature which can choose any initial state and any bounded energy disturbance input and measurement noise. Necessary and sufficient conditions for the existence of a saddle-point equilibrium are determined, and H/sub /spl infin// tracking controllers for both the cases of state and output feedback are derived. Tracking problems for time-invariant systems on infinite-horizon are also analyzed, and time invariant tracking controllers are obtained for zero initial conditions.
Year
DOI
Venue
1995
10.1109/9.384218
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Game theory,Control systems,Time varying systems,Time measurement,Energy measurement,Noise measurement,Output feedback,Uncertain systems,Frequency,Signal design
Journal
40
Issue
ISSN
Citations 
5
0018-9286
16
PageRank 
References 
Authors
2.66
0
2
Name
Order
Citations
PageRank
uri shaked1620100.11
C. E. de Souza2473120.38