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Exponential Stability Region Estimates for the State-Dependent Riccati Equation Controllers

Chang, Insu and Chung, Soon-Jo (2009) Exponential Stability Region Estimates for the State-Dependent Riccati Equation Controllers. In: Joint 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference. IEEE , Piscataway, NJ, pp. 1974-1979. ISBN 978-1-4244-3872-3. http://resolver.caltech.edu/CaltechAUTHORS:20161122-145958877

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Abstract

We investigate the nonlinear exponential stability of the State-Dependent Riccati Equation (SDRE)-based control. The SDRE technique is a nonlinear control method, which has emerged since the mid 1990's and has been applied to a wide range of nonlinear control problems. Despite the systematic method of SDRE, it is difficult to prove stability because the general analytic solution to the SDRE is not known. Some notable prior work has shown local asymptotic stability of SDRE by using numerical and analytical methods. In this paper, we introduce a new strategy, based on contraction analysis, to estimate the exponential stability region for SDRE controlled systems. Examples demonstrate the superiority of the proposed method.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/CDC.2009.5400575DOIArticle
http://ieeexplore.ieee.org/document/5400575/PublisherArticle
ORCID:
AuthorORCID
Chung, Soon-Jo0000-0002-6657-3907
Additional Information:© 2009 IEEE. Date of Conference: 15-18 Dec. 2009. Date Added to IEEE Xplore: 29 January 2010. This work was supported by the Air Force Office of Scientific Research (AFOSR). The authors thank Prof. J. Oliver at the Virtual Reality Application Center, Iowa State University for his support. The authors gratefully acknowledge stimulating discussions with Prof. J.-J. E. Slotine, Dr. W. Lohmiller, and A. A. Paranjape.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Iowa State UniversityUNSPECIFIED
Record Number:CaltechAUTHORS:20161122-145958877
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20161122-145958877
Official Citation:I. Chang and S. J. Chung, "Exponential stability region estimates for the State-Dependent Riccati Equation controllers," Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, Shanghai, 2009, pp. 1974-1979. doi: 10.1109/CDC.2009.5400575
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72260
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:22 Nov 2016 23:37
Last Modified:04 Jan 2017 18:56

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