Time-discretization of non-affine nonlinear system with delayed input using taylor-series

2004 ◽  
Vol 18 (8) ◽  
pp. 1297-1305 ◽  
Author(s):  
Ji Hyang Park ◽  
Kil To Chong ◽  
Nikolaos Kazantzis ◽  
Alexander G. Parlos
Keyword(s):  
Nonlinear System ◽  
Taylor Series ◽  
Time Discretization

Time-discretization of nonlinear systems with delayed multi-input using Taylor series

2004 ◽  
Vol 18 (7) ◽  
pp. 1107-1120 ◽  
Author(s):  
Ji Hyang Park ◽  
Kil To Chong ◽  
Nikolaos Kazantzis ◽  
Alexander G. Parlos
Keyword(s):  
Nonlinear Systems ◽  
Taylor Series ◽  
Time Discretization

scholarly journals Generalized Quadratic Linearization of Machine Models

2011 ◽  
Vol 2011 ◽  
pp. 1-10
Author(s):  
Parvathy Ayalur Krishnamoorthy ◽  
Kamaraj Vijayarajan ◽  
Devanathan Rajagopalan
Keyword(s):  
Nonlinear System ◽  
Taylor Series ◽  
State Feedback ◽  
Taylor Series Expansion ◽  
Higher Order ◽  
Exact Linearization ◽  
Linearization Technique ◽  
Practical Applications ◽  
Higher Order Terms ◽  
Approximate Linearization

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.

scholarly journals Analysis of Exact Linearization and Aproximate Feedback Linearization Techniques

2011 ◽  
Vol 2011 ◽  
pp. 1-17 ◽  
Author(s):  
Gildeberto S. Cardoso ◽  
Leizer Schnitman
Keyword(s):  
Nonlinear System ◽  
Control Systems ◽  
Taylor Series ◽  
Feedback Linearization ◽  
Taylor Series Expansion ◽  
Linear Control ◽  
Linear Control Systems ◽  
Exact Linearization ◽  
Linear Controller ◽  
Linearization Techniques

This paper presents a study of linear control systems based on exact feedback linearization and approximate feedback linearization. As exact feedback linearization is applied, a linear controller can perform the control objectives. The approximate feedback linearization is required when a nonlinear system presents a noninvolutive property. It uses a Taylor series expansion in order to compute a nonlinear transformation of coordinates to satisfy the involutivity conditions.

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