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Separating Controller Design from Closed-Loop Design: A New Perspective on System-Level Controller Synthesis

Li, Jing Shuang Lisa and Ho, Dimitar (2020) Separating Controller Design from Closed-Loop Design: A New Perspective on System-Level Controller Synthesis. In: 2020 American Control Conference (ACC). IEEE , Piscataway, NJ, pp. 3529-3534. ISBN 9781538682661. https://resolver.caltech.edu/CaltechAUTHORS:20200730-143943753

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Abstract

We show that given a desired closed-loop response for a system, there exists an affine subspace of controllers that achieve this response. By leveraging the existence of this subspace, we are able to separate controller design from closed-loop design by first synthesizing the desired closed-loop response and then synthesizing a controller that achieves the desired response. This is a useful extension to the recently introduced System Level Synthesis framework, in which the controller and closed-loop response are jointly synthesized and we cannot enforce controller-specific constraints without subjecting the closed-loop map to the same constraints.We demonstrate the importance of separating controller design from closed-loop design with an example in which communication delay and locality constraints cause standard SLS to be infeasible. Using our new two-step procedure, we are able to synthesize a controller that obeys the constraints while only incurring a 3% increase in LQR cost compared to the optimal LQR controller.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.23919/acc45564.2020.9147736DOIArticle
https://arxiv.org/abs/2006.05040arXivDiscussion Paper
ORCID:
AuthorORCID
Li, Jing Shuang Lisa0000-0003-4931-8709
Additional Information:© 2020 AACC.
Record Number:CaltechAUTHORS:20200730-143943753
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200730-143943753
Official Citation:J. S. L. Li and D. Ho, "Separating Controller Design from Closed-Loop Design: A New Perspective on System-Level Controller Synthesis," 2020 American Control Conference (ACC), Denver, CO, USA, 2020, pp. 3529-3534, doi: 10.23919/ACC45564.2020.9147736
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104672
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:31 Jul 2020 14:08
Last Modified:31 Jul 2020 14:08

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