Generalized Quadratic Linearization of Machine Models
Joint Authors
Ayalur Krishnamoorthy, Parvathy
Rajagopalan, Devanathan
Vijayarajan, Kamaraj
Source
Journal of Control Science and Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
In the exact linearization of involutive nonlinear system models, the issue of singularity needs to be addressed in practical applications.
The approximate linearization technique due to Krener, based on Taylor series expansion, apart from being applicable to noninvolutive systems, allows the singularity issue to be circumvented.
But approximate linearization, while removing terms up to certain order, also introduces terms of higher order than those removed into the system.
To overcome this problem, in the case of quadratic linearization, a new concept called “generalized quadratic linearization” is introduced in this paper, which seeks to remove quadratic terms without introducing third- and higher-order terms into the system.
Also, solution of generalized quadratic linearization of a class of control affine systems is derived.
Two machine models are shown to belong to this class and are reduced to only linear terms through coordinate and state feedback.
The result is applicable to other machine models as well.
American Psychological Association (APA)
Ayalur Krishnamoorthy, Parvathy& Vijayarajan, Kamaraj& Rajagopalan, Devanathan. 2011. Generalized Quadratic Linearization of Machine Models. Journal of Control Science and Engineering،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-508713
Modern Language Association (MLA)
Ayalur Krishnamoorthy, Parvathy…[et al.]. Generalized Quadratic Linearization of Machine Models. Journal of Control Science and Engineering No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-508713
American Medical Association (AMA)
Ayalur Krishnamoorthy, Parvathy& Vijayarajan, Kamaraj& Rajagopalan, Devanathan. Generalized Quadratic Linearization of Machine Models. Journal of Control Science and Engineering. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-508713
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508713