Journal ArticleDOI
On LMI conditions to design observers for Lipschitz nonlinear systems
Ali Zemouche,Mohamed Boutayeb +1 more
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The goal of this note is to clarify some recent results and to propose a new design methodology based on the reformulation of the Lipschitz property using some mathematical tools, which leads to less restrictive LMI conditions.About:
This article is published in Automatica.The article was published on 2013-02-01. It has received 290 citations till now. The article focuses on the topics: Lipschitz continuity & Observer (quantum physics).read more
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Observer Design for a Class of Nonlinear Systems
TL;DR: In this paper, the convergent condition of observing error is developed for a class of wide-existing nonlinear systems, and a simple example to demonstrate the proposed method is given with a simple implementation.
Journal ArticleDOI
Fault Detection and Isolation for a Class of Uncertain State-Feedback Fuzzy Control Systems
Guang-Hong Yang,Huimin Wang +1 more
TL;DR: This paper investigates the fault detection and isolation (FDI) problem for a class of nonlinear state-feedback control systems with parameter uncertainties by introducing a switching technique to address the uncertain grades of membership, external disturbances, local nonlinear parts, faults, and the coupling of them.
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State and Unknown Input Observers for Nonlinear Systems With Bounded Exogenous Inputs
TL;DR: A systematic design methodology for state observers for a large class of nonlinear systems with bounded exogenous inputs (disturbance inputs and sensor noise) is proposed, characterized by an incremental quadratic constraint parameterized by a set of multiplier matrices.
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Observer Design for Stochastic Nonlinear Systems via Contraction-Based Incremental Stability
TL;DR: A stochastic contraction lemma is presented which is used to analyze incremental stability of the observer and results of simulation show superiority of the LMI-SDARE algorithm to the extended Kalman filter (EKF) and state-dependent differential Riccati equation (SDDRE) filter.
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Robust feedback control of the underactuated Inertia Wheel Inverted Pendulum under parametric uncertainties and subject to external disturbances: LMI formulation
TL;DR: The effectiveness and robustness of the proposed feedback controller toward uncertainties in the friction parameters and external disturbances are illustrated through simulation results.
References
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Journal ArticleDOI
A simple observer for nonlinear systems applications to bioreactors
TL;DR: In this paper, an observer for nonlinear systems is constructed under rather general technical assumptions (the fact that some functions are globally Lipschitz) and a tentative application to biological systems is described.
Journal ArticleDOI
On contraction analysis for non-linear systems
TL;DR: These results may be viewed as generalizing the classical Krasovskii theorem, and, more loosely, linear eigenvalue analysis, and the approach is illustrated by controller and observer designs for simple physical examples.
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Linearization by output injection and nonlinear observers
Arthur J. Krener,Alberto Isidori +1 more
TL;DR: Observers can easily be constructed for those nonlinear systems which can be transformed into a linear system by change of state variables and output injection.