- Title
- Closed-form solution for a class of discrete-time algebraic Riccati equations
- Creator
- Rojas, A. J.
- Relation
- American Control Conference, 2009 (ACC '09). Proceedings of the American Control Conference 2009 (St Louis, MO 10-12 June, 2009) p. 482-487
- Publisher Link
- http://dx.doi.org/10.1109/ACC.2009.5159891
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2009
- Description
- In the present paper we obtain a closed-form solution for the class of discrete-time algebraic Riccati equations (ARE) with vanishing state weighting, whenever the unstable eigenvalues are distinct. The AREs in such a class solve a minimum energy control problem for a single-input single-output (SISO) system. The obtained closed-form solution gives insight on issues such as loss of controllability and it might also prove competitive in terms of numerical precision over current solving algorithms.
- Subject
- Riccati equations; closed loop systems; discrete time systems; eigenvalues and eigenfunctions
- Identifier
- http://hdl.handle.net/1959.13/918900
- Identifier
- uon:8733
- Identifier
- ISBN:9781424445240
- Identifier
- ISSN:0743-1619
- Rights
- Copyright © 2009 IEEE. Reprinted from the Proceedings of the American Control Conference 2009. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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