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 |
|---|---|
| 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
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Agoes Ariffin Moelja, A. A., & Meinsma, G. (2005). H2-optimal control of systems with multiple i/o delays: Time domain approach. Automatica, 41(7), 1229-1238. https://doi.org/10.1016/j.automatica.2005.01.016