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Fault-tolerant controller design with applications in power systems and synthetic biology

Sojoudi, Somayeh and Lavaei, Javad and Murray, Richard M. (2011) Fault-tolerant controller design with applications in power systems and synthetic biology. In: Proceedings of the 2011 American Control Conference. IEEE , Piscataway, NJ, pp. 4135-4142. ISBN 9781457700811. https://resolver.caltech.edu/CaltechAUTHORS:20190326-141247572

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Abstract

This paper deals with fault-tolerant controller design for linear time-invariant (LTI) systems with multiple actuators. Given some critical subsets of the actuators, it is assumed that every combination of actuators can fail as long as the set of the remaining actuators includes one of these subsets. Motivated by electric power systems and biological systems, the goal is to design a controller so that the closed-loop system satisfies two properties: (i) stability under all permissible sets of faults and (ii) better performance after clearing every subset of the existing faults in the system. It is shown that a state-feedback controller satisfying these properties exists if and only if a linear matrix inequality (LMI) problem is feasible. This LMI condition is then transformed into an optimal-control condition, which has a useful interpretation. The results are also generalized to output-feedback and decentralized control cases. The efficacy of this work is demonstrated by designing fault-tolerant speed governors for a power system. The results developed here can be extended to more general types of faults, where each fault can possibly affect all state-space matrices of the system.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/acc.2011.5991381DOIArticle
ORCID:
AuthorORCID
Murray, Richard M.0000-0002-5785-7481
Additional Information:© 2011 AACC.
Record Number:CaltechAUTHORS:20190326-141247572
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190326-141247572
Official Citation:S. Sojoudi, J. Lavaei and R. M. Murray, "Fault-tolerant controller design with applications in power systems and synthetic biology," Proceedings of the 2011 American Control Conference, San Francisco, CA, 2011, pp. 4135-4142. doi: 10.1109/ACC.2011.5991381
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:94156
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:27 Mar 2019 14:47
Last Modified:03 Oct 2019 21:01

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