Uncertainty in Sampled Systems
(1985) American Control Conference, 1985- Abstract
- The recently obtained evidence of the need for a positive real element in an adaptive system leaves us with a disturbing gap in adaptive control theory. It is a fact that in some applications adaptive controllers are performing well in practice. How can these systems behave well in practical situations which must contain modeling error? This paper introduces a preliminary result which indicates that it may be possible to maintain the needed positive real system in the presence of modeling error. The result shows that if a continuous-time system with large high frequency uncertainty is treated appropriately with antialiasing filters and sampled slowly enough, the resulting discrete-time system may contain very little uncertainty. With small... (More)
- The recently obtained evidence of the need for a positive real element in an adaptive system leaves us with a disturbing gap in adaptive control theory. It is a fact that in some applications adaptive controllers are performing well in practice. How can these systems behave well in practical situations which must contain modeling error? This paper introduces a preliminary result which indicates that it may be possible to maintain the needed positive real system in the presence of modeling error. The result shows that if a continuous-time system with large high frequency uncertainty is treated appropriately with antialiasing filters and sampled slowly enough, the resulting discrete-time system may contain very little uncertainty. With small enough uncertainty in the plant, a positive real system in the adaptive loop is possible (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8517871
- author
- Rohrs, Charles, E. ; Stein, Gunter and Åström, Karl Johan LU
- organization
- publishing date
- 1985
- type
- Contribution to conference
- publication status
- published
- subject
- keywords
- Adaptive algorithm, Adaptive control, Adaptive systems, Filters, Frequency response, Programmable control, Sampled data systems, Sampling methods, Stability Uncertainty
- conference name
- American Control Conference, 1985
- conference location
- Boston, Massachusetts, United States
- conference dates
- 1985-06-19 - 1985-06-21
- external identifiers
-
- scopus:0022223147
- language
- English
- LU publication?
- yes
- id
- 9edad72b-2949-45b0-b7c3-765b234b882f (old id 8517871)
- date added to LUP
- 2016-04-04 13:39:46
- date last changed
- 2021-01-03 07:58:25
@misc{9edad72b-2949-45b0-b7c3-765b234b882f,
abstract = {{The recently obtained evidence of the need for a positive real element in an adaptive system leaves us with a disturbing gap in adaptive control theory. It is a fact that in some applications adaptive controllers are performing well in practice. How can these systems behave well in practical situations which must contain modeling error? This paper introduces a preliminary result which indicates that it may be possible to maintain the needed positive real system in the presence of modeling error. The result shows that if a continuous-time system with large high frequency uncertainty is treated appropriately with antialiasing filters and sampled slowly enough, the resulting discrete-time system may contain very little uncertainty. With small enough uncertainty in the plant, a positive real system in the adaptive loop is possible}},
author = {{Rohrs, Charles, E. and Stein, Gunter and Åström, Karl Johan}},
keywords = {{Adaptive algorithm; Adaptive control; Adaptive systems; Filters; Frequency response; Programmable control; Sampled data systems; Sampling methods; Stability Uncertainty}},
language = {{eng}},
title = {{Uncertainty in Sampled Systems}},
year = {{1985}},
}