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Realization, Internal Stability, and Controller Synthesis

Tseng, Shih-Hao (2021) Realization, Internal Stability, and Controller Synthesis. In: 2021 American Control Conference (ACC). IEEE , Piscataway, NJ, pp. 3570-3577. ISBN 978-1-6654-4197-1.

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We have witnessed the emergence of several controller parameterizations and the corresponding synthesis methods, including Youla, system level, input-output, and many other new proposals. Meanwhile, under the same synthesis method, there are multiple realizations to adopt. Different synthesis methods/realizations target different plants/scenarios. Except for some case-by-case studies, we don't currently have a unified framework to understand their relationships. To address the issue, we show that existing controller synthesis methods and realization proposals are all special cases of a simple lemma, the realization-stability lemma. The lemma leads to easier equivalence proofs among existing methods and enables the formulation of a general controller synthesis problem, which provides a unified foundation for controller synthesis and realization derivation.

Item Type:Book Section
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URLURL TypeDescription Paper
Tseng, Shih-Hao0000-0003-2376-9333
Additional Information:© 2021 AACC.
Record Number:CaltechAUTHORS:20210826-170344828
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Official Citation:S. -H. Tseng, "Realization, Internal Stability, and Controller Synthesis," 2021 American Control Conference (ACC), 2021, pp. 3570-3577, doi: 10.23919/ACC50511.2021.9482682
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110575
Deposited By: Tony Diaz
Deposited On:26 Aug 2021 17:56
Last Modified:26 Aug 2021 17:56

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