Imperial College London
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DrGiordanoScarciotti

Faculty of Engineering, Department of Electrical and Electronic Engineering

Senior Lecturer
 
 
 
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Contact

 

+44 (0)20 7594 6268g.scarciotti Website

 
 
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Location

 

1118Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inproceedings{Mellone:2020,
author = {Mellone, A and Scarciotti, G},
publisher = {IEEE},
title = {Normal form and exact feedback linearisation of nonlinear stochastic systems: the ideal case},
url = {http://hdl.handle.net/10044/1/79113},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - This paper introduces the concepts of stochastic relative degree, normal form and exact feedback linearisation for single-input single-output nonlinear stochastic systems. The systems are defined by stochastic differential equations in which both the drift and the diffusion terms are nonlinear functions of the states and the control input. First, we define new differential operators and the concept of stochastic relative degree. Then we introduce a suitable coordinate change and we show that the dynamics of the transformed state has a simplified structure, which we name normal form. Finally, we show that a condition on the stochastic relative degree of the system is sufficient for it to be rendered linear via a coordinate change and a nonlinear feedback. We provide an analytical example to illustrate the theory.
AU  - Mellone,A
AU  - Scarciotti,G
PB  - IEEE
PY  - 2020///
TI  - Normal form and exact feedback linearisation of nonlinear stochastic systems: the ideal case
UR  - http://hdl.handle.net/10044/1/79113
ER  -
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