Abstract
In this paper the H2-optimal control problem of systems with multiple i/o delays is presented. The problem is first converted to an equivalent H2 regulator problem with multiple delays. The idea is to view the regulator problem in time-domain as a linear quadratic regulator problem with multiple input delays. It is shown that the rational part of the optimal controller has the same dimension as the plant and the non-rational part may be chosen to have finite impulse response. Furthermore, the regulator problem solution is also used to solve the H2 filtering problem with multiple measurement delays.
Original language | English |
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Pages (from-to) | 1229-1238 |
Number of pages | 10 |
Journal | Automatica |
Volume | 41 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2005 |
Keywords
- H2 control
- LQG control
- IR-77664
- METIS-227108
- Time delay systems