High Order Sliding Mode Differentiator for Dynamical Inversion of Non-Involutive Systems

Jean Pierre Barbot; Driss Boutat; Krishna Busawon; Mangal Kothari

High Order Sliding Mode Differentiator for Dynamical Inversion of Non-Involutive Systems

Jean Pierre Barbot, Driss Boutat, Krishna Busawon, Mangal Kothari

Research output: Contribution to conference › Paper › peer-review

1 Citation (Scopus)

Abstract

This paper deals with the left inversion problem for a class of nonlinear systems. It is well-known that such problem is a challenging one because of the presence of non-smooth unknown inputs and non-involutivity of the forced ﬁelds’ distribution. To overcome these diﬃculties, we ﬁrst propose a novel left invertible form. Then, using this form, we design an observer in order to reconstruct the state and the control inputs. Numerical results are given in order to validate the proposed approach.

Original language	English
Publication status	Published - 2014
Event	IFAC World Congress - Cape Town, South Africa Duration: 1 Jan 2014 → …

Conference

Conference	IFAC World Congress
Period	1/01/14 → …

Cite this

@conference{a274b23e24424476a6616c8ea007ec68,

title = "High Order Sliding Mode Differentiator for Dynamical Inversion of Non-Involutive Systems",

abstract = "This paper deals with the left inversion problem for a class of nonlinear systems. It is well-known that such problem is a challenging one because of the presence of non-smooth unknown inputs and non-involutivity of the forced ﬁelds{\textquoteright} distribution. To overcome these diﬃculties, we ﬁrst propose a novel left invertible form. Then, using this form, we design an observer in order to reconstruct the state and the control inputs. Numerical results are given in order to validate the proposed approach.",

author = "Barbot, \{Jean Pierre\} and Driss Boutat and Krishna Busawon and Mangal Kothari",

year = "2014",

language = "English",

note = "IFAC World Congress ; Conference date: 01-01-2014",

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TY - CONF

T1 - High Order Sliding Mode Differentiator for Dynamical Inversion of Non-Involutive Systems

AU - Barbot, Jean Pierre

AU - Boutat, Driss

AU - Busawon, Krishna

AU - Kothari, Mangal

PY - 2014

Y1 - 2014

N2 - This paper deals with the left inversion problem for a class of nonlinear systems. It is well-known that such problem is a challenging one because of the presence of non-smooth unknown inputs and non-involutivity of the forced ﬁelds’ distribution. To overcome these diﬃculties, we ﬁrst propose a novel left invertible form. Then, using this form, we design an observer in order to reconstruct the state and the control inputs. Numerical results are given in order to validate the proposed approach.

AB - This paper deals with the left inversion problem for a class of nonlinear systems. It is well-known that such problem is a challenging one because of the presence of non-smooth unknown inputs and non-involutivity of the forced ﬁelds’ distribution. To overcome these diﬃculties, we ﬁrst propose a novel left invertible form. Then, using this form, we design an observer in order to reconstruct the state and the control inputs. Numerical results are given in order to validate the proposed approach.

UR - https://www.scopus.com/pages/publications/84929815752

M3 - Paper

T2 - IFAC World Congress

Y2 - 1 January 2014

ER -

High Order Sliding Mode Differentiator for Dynamical Inversion of Non-Involutive Systems

Abstract

Conference

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