Input-output linearization of retarded nonlinear systems by an extended Lie derivative

This paper considers the input-output linearization problem for retarded nonlinear systems which have time-delays in the state. By using an extension of the Lie derivative for functional differential equations, we derive a coordinate transformation and a state feedback to obtain the linear input-out...

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Bibliographic Details
Main Authors: Oguchi, T., Watanabe, A., Nakamizo, T.
Format: Conference Proceeding
Language:English
Subjects:
Control systems
Control theory
Delay effects
Differential equations
Linear systems
Nonlinear control systems
Nonlinear systems
Polynomials
Stability
State feedback
Online Access:Request full text
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Summary:This paper considers the input-output linearization problem for retarded nonlinear systems which have time-delays in the state. By using an extension of the Lie derivative for functional differential equations, we derive a coordinate transformation and a state feedback to obtain the linear input-output behavior for a class of retarded nonlinear systems. We also examine the stability condition of the total systems. The effectiveness of the proposed technique is demonstrated through numerical simulations.
ISSN:0191-2216
DOI:10.1109/CDC.1998.758475