The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control
Abstract
The authors present a framework for dealing with continuous-time periodic systems. The main tool is a lifting technique which provides a strong correspondence between continuous-time periodic systems and certain types of discrete-time time-invariant systems with infinite-dimensional input and output spaces. Despite the infinite dimensionality of the input and output spaces, a lifted system has a finite-dimensional state space if the original system does. This fact permits rather constructive methods for analyzing these systems. As a demonstration of the utility of this framework, the authors use it to describe the continuous-time (i.e., intersample) behavior of sampled-data systems, and to obtain a complete solution to the problem of parameterizing all controllers that constrain the L/sup 2/-induced norm of a sampled-data system to within a certain bound.>
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Citations
Cites
Sampled-data control of continuous-time systems with an H∞ optimality criterion
Toivonen, H. T. (1992) · Automatica · doi:10.1016/0005-1098(92)90006-2 · Cited by 256
Cited by
A lifting technique for linear periodic systems with applications to sampled-data control
Bamieh, B., Pearson, J. B., Francis, B. A., & Tannenbaum, A. (1991) · Systems & Control Letters · doi:10.1016/0167-6911(91)90033-b · Cited by 425
Self-citationSampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling
Shen, B., Wang, Z., & Liu, X. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2190179 · Cited by 300
On the state space and frequency domain characterization of H∞-norm of sampled-data systems
Yamamoto, Y. (1993) · Systems & Control Letters · doi:10.1016/0167-6911(93)90119-q · Cited by 51
Signal Reconstruction via $H^{\infty}$ Sampled-Data Control Theory—Beyond the Shannon Paradigm
Yamamoto, Y., Nagahara, M., & Khargonekar, P. P. (2012) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2011.2175223 · Cited by 49
$H^{\infty}$-Optimal Fractional Delay Filters
Nagahara, M., & Yamamoto, Y. (2013) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2013.2265678 · Cited by 15
Metadata
- Authors
- Bamieh, B. A., & Pearson, J. B.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1992-04
- Volume
- 37
- Issue
- 4
- Pages
- 418-435
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2140974698
- Cited by
- 682
- References
- 1
- FWCI
- 56.78
- Type
- journal article
- Language
- en
- Open access
- closed
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- Bamieh, B. A., & Pearson, J. B. (1992). A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.126576
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