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Observers for a non-Lipschitz triangular form
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DOI：10.1016/j.automatica.2017.04.054.png)
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Abstract
En 中文
We address the problem of designing an observer for triangular non locally Lipschitz dynamical systems. We show the convergence with an arbitrary small error of the classical high gain observer in presence of nonlinearities verifying some Holder-like condition. Also, for the case when this Holder condition is not verified, we propose a novel cascaded high gain observer. Under slightly more restrictive assumptions, we prove the convergence of a homogeneous observer and of its cascaded version with the help of an explicit Lyapunov function. (C) 2017 Elsevier Ltd. All rights reserved.
Keywords:
Triangular observable form
High-gain observer
Finite-time observers
Homogeneous observers
Exact differentiators
Explicit Lyapunov functions
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