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A method for computing quadratic Brunovsky forms
- Source :
- Jin, Wen-Long. (1999). A method for computing quadratic Brunovsky forms. Electronic Journal of Linear Algebra ISSN 1081-3810, A publication of the International Linear Algebra Society, Volume 13, pp. 40-55, February 2005. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/6bn318vq, Scopus-Elsevier, Jin, Wen-Long. (2005). A method for computing quadratic Brunovsky forms. Electronic Journal of Linear Algebra, 13, 40-55. UC Irvine: Retrieved from: http://www.escholarship.org/uc/item/3r43t0pn
- Publication Year :
- 1999
- Publisher :
- eScholarship, University of California, 1999.
-
Abstract
- In this paper, for continuous, linearly-controllable quadratic control systems with a single input, an explicit, constructive method is proposed for studying their Brunovsky forms, initially studied in [W. Kang and A. J. Krener, Extended quadratic controller normal form and dynamic state feedback linearization of nonlinear systems, SIAM Journal on Control and Optimization, 30:1319-1337, 1992]. In this approach, the computation of Brunovsky forms and transformation matrices and the proof of their existence and uniqueness are carried out simultaneously. In addition, it is shown that quadratic transformations in the aforementioned paper can be simplified to prevent multiplicity in Brunovsky forms. This method is extended for studying discrete quadratic systems. Finally, computation algorithms for both continuous and discrete systems are summarized, and examples demonstrated.<br />Author's name was listed as Wenlong Jin
- Subjects :
- 15A04
Computation
Linearly-controllable control systems
93B10
93B40
Quadratic equation
Transformation matrix
Control theory
Quadratic transformations
Quadratic Brunovsky forms
FOS: Mathematics
Physical Sciences and Mathematics
Applied mathematics
Uniqueness
Feedback linearization
Mathematics - Optimization and Control
Discrete quadratic systems
Mathematics
Algebra and Number Theory
Quadratically state feedback equivalence
math.OC
Continuous quadratic systems
State (functional analysis)
Nonlinear system
Optimization and Control (math.OC)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Jin, Wen-Long. (1999). A method for computing quadratic Brunovsky forms. Electronic Journal of Linear Algebra ISSN 1081-3810, A publication of the International Linear Algebra Society, Volume 13, pp. 40-55, February 2005. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/6bn318vq, Scopus-Elsevier, Jin, Wen-Long. (2005). A method for computing quadratic Brunovsky forms. Electronic Journal of Linear Algebra, 13, 40-55. UC Irvine: Retrieved from: http://www.escholarship.org/uc/item/3r43t0pn
- Accession number :
- edsair.doi.dedup.....15a8568fde035ee2e2abd7b152bddd95