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An algorithm for computationally efficient digital implementation of LTI controllers

Bhattacharya, Raktim and Balas, Gary J. (2003) An algorithm for computationally efficient digital implementation of LTI controllers. In: Proceedings of the 2003 American Control Conference, 2003. Vol.2. IEEE , Piscataway, NJ, pp. 1165-1170. ISBN 0-7803-7896-2. https://resolver.caltech.edu/CaltechAUTHORS:20170522-150826439

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Abstract

In this paper we present an algorithm for computationally efficient digital implementation of linear time invariant controllers. The algorithm transforms a linear time invariant controller into a periodically time varying system, which can be digitally implemented in a computationally efficient manner. This is achieved by first decomposing the controller into a dual rate system. A scheduling policy is adopted that spreads the computation, required to update the states of the slower system, over a time horizon. This reduces the total number of states updated at a given time step and hence the computational overhead. A theoretical framework is also developed to analyse the effect of this transformation on the closed-loop stability performance. The theoretical analysis framework relies on multi-rate filter bank theory and lifting techinique used in the analysis of multi-rate control systems.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ACC.2003.1239745DOIArticle
http://ieeexplore.ieee.org/document/1239745/PublisherArticle
Additional Information:© 2003 IEEE. This work was funded by DARPA under the Software Enabled Control program with Dr. John Bay as the program manager. The contract number is USAF/AFMC F33615-99-C-1497 and Dale Van Cleave is the technical contract monitor.
Funders:
Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)USAF/AFMC F33615-99-C-1497
Record Number:CaltechAUTHORS:20170522-150826439
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170522-150826439
Official Citation:R. Bhattacharya and G. J. Balas, "An algorithm for computationally efficient digital implementation of LTI controllers," Proceedings of the 2003 American Control Conference, 2003., 2003, pp. 1165-1170. doi: 10.1109/ACC.2003.1239745
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77633
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:22 May 2017 22:54
Last Modified:03 Oct 2019 18:00

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