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Higher‐order sliding‐mode observer for state estimation and input reconstruction in nonlinear systems

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TLDR
In this article, a higher-order sliding-mode observer is proposed to estimate exactly the observable states and asymptotically the unobservable ones in multi-input-multi-output nonlinear systems with unknown inputs and stable internal dynamics.
Abstract
In this paper, a higher-order sliding-mode observer is proposed to estimate exactly the observable states and asymptotically the unobservable ones in multi-input–multi-output nonlinear systems with unknown inputs and stable internal dynamics. In addition the unknown inputs can be identified asymptotically. Numerical examples illustrate the efficacy of the proposed observer. Copyright © 2007 John Wiley & Sons, Ltd.

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Journal ArticleDOI

Performance Recovery of Feedback-Linearization-Based Designs

TL;DR: It is proved that the closed-loop system under the observer-based controller recovers the performance of the nominal linear model as the observer gain becomes sufficiently high and the controller has an integral action property in that it ensures regulation of the tracking error to zero in the presence of constant nonvanishing perturbation.
Journal ArticleDOI

Robust Model-Based Fault Diagnosis for PEM Fuel Cell Air-Feed System

TL;DR: The design of a nonlinear observer-based fault diagnosis approach for polymer electrolyte membrane (PEM) fuel cell air-feed systems is presented, taking into account a fault scenario of sudden air leak in the air supply manifold.
Journal ArticleDOI

On convergence of the nonlinear active disturbance rejection control for mimo systems

TL;DR: In this paper, the global and semiglobal convergence of ADRC for a class of multi-input multi-output nonlinear systems with large uncertainty that comes from both dynamical modeling and external disturbance is proved.
Journal ArticleDOI

State Estimation for Discrete-Time Dynamical Networks With Time-Varying Delays and Stochastic Disturbances Under the Round-Robin Protocol

TL;DR: This paper is concerned with the state estimation problem for a class of nonlinear dynamical networks with time-varying delays subject to the round-robin protocol, and designs an estimator, such that the estimation error is exponentially ultimately bounded with a certain asymptotic upper bound in mean squaresubject to the process noise and exogenous disturbance.
Proceedings Article

On convergence of nonlinear active disturbance rejection control for MIMO systems

TL;DR: The global and semi-global convergence of nonlinear active disturbance rejection control (ADRC) for a class of multi-input multi-output (MIMO) nonlinear systems with large uncertainties that come from both dynamical modeling and external disturbance are proved.
References
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Nonlinear Control Systems

TL;DR: In this paper, a systematic feedback design theory for solving the problems of asymptotic tracking and disturbance rejection for linear distributed parameter systems is presented, which is intended to support the development of flight controllers for increasing the high angle of attack or high agility capabilities of existing and future generations of aircraft.
Journal ArticleDOI

Higher-order sliding modes, differentiation and output-feedback control

TL;DR: In this article, the authors proposed arbitrary-order robust exact differentiators with finite-time convergence, which can be used to keep accurate a given constraint and feature theoretically-infinite-frequency switching.
Journal ArticleDOI

Robust exact differentiation via sliding mode technique

Arie Levant
- 01 Mar 1998 - 
TL;DR: In this paper, an order of the maximal differentiation error to the square root of the maximum deviation of the measured input signal from the base signal from Lipschitz's constant of the derivative was proposed.

Nonlinear Control Systems

Nahum Shimkin
TL;DR: Feedback control theory is concerned with the analysis and design of nonlinear control systems where nonlinearity plays a significant role, either in the controlled process (plant) or in the controller itself.
Journal ArticleDOI

Nonlinear observers with linearizable error dynamics

TL;DR: In this article, a method for designing asymptotic observers for a class of nonlinear systems is presented, where the error between the state of the systems and the observer in appropriate coordinates evolves linearly and can be made to decay aribtrarily exponentially fast.
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