Finite‐time sliding mode observer for uncertain nonlinear systems based on a tunable algebraic solver

Summary In this paper, a finite‐time sliding mode observer for nonlinear systems with unknown inputs is proposed. The observer is based on a method for the solution of time‐varying algebraic equations. This algebraic solver is shown to converge in finite time by means of Lyapunov analysis; furthermo...

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Bibliographic Details
Published in:International journal of robust and nonlinear control 2017-12, Vol.27 (18), p.4507-4521
Main Authors: López, Esteban, Botero, Héctor
Format: Article
Language:English
Subjects:
Algebra
Convergence
finite‐time stability
Nonlinear systems
Sliding mode control
sliding mode observers
Transformations (mathematics)
unknown input reconstruction
zero finding methods
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Summary:Summary In this paper, a finite‐time sliding mode observer for nonlinear systems with unknown inputs is proposed. The observer is based on a method for the solution of time‐varying algebraic equations. This algebraic solver is shown to converge in finite time by means of Lyapunov analysis; furthermore, a way to tune it so that it converges after a user‐defined amount of time is presented. Through the use of this technique and sliding mode differentiators, the state variables and unknown inputs of a class of nonlinear systems, which do not need to be affine in the inputs, can be estimated without the explicit use of state transformations. Both the algebraic solver and the proposed observer are illustrated through simulation examples. Copyright © 2017 John Wiley & Sons, Ltd.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.3806