A second order sliding mode differentiator with a variable exponent

Ghanes, Malek; Barbot, Jean–Pierre; Levant, Arie

doi:10.23919/acc.2017.7963456

Cited by 14 publications

(16 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Many solutions are proposed to solve this issue, among them the high order sliding mode observers (HOSMO). Most HOSMO use the concept of homogeneity (see e.g., [28], [29], and [30]) based on the differentiation algorithms. In this context, Levant [31] proposed a robust exact differentiator.…”

Section: B Some Recalls On Observer Designmentioning

confidence: 99%

“…It is well know that the super twisting differentiators [27] have good properties with respect to sensibility perturbation but their accuracy is degraded if the signal is perturbed by a noise, contrary to the linear observers that have good performances with respect to the measurement noise but they are sensible to perturbations. In [30], [33], a novel second order sliding mode differentiator with a variable exponent is proposed in order to make trade off between accuracy and noise sensibility. Following [30], [33], we explain the differentiator design, then, we will apply it to the electro-mechanical system.…”

Section: Observer Design Of the Electro-mechanical Systemmentioning

confidence: 99%

“…In [30], [33], a novel second order sliding mode differentiator with a variable exponent is proposed in order to make trade off between accuracy and noise sensibility. Following [30], [33], we explain the differentiator design, then, we will apply it to the electro-mechanical system. Consider the following second order system:…”

Section: Observer Design Of the Electro-mechanical Systemmentioning

confidence: 99%

See 2 more Smart Citations

Application of homogeneous observers with variable exponent to a mechatronic system

Derbel

Féki

Nicolau

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

Monitoring of mechatronic systems is one of the essential issues in the industries. In this context, we firstly deal with the modeling of an electro-mechanical system obtained by assembling a mechanical model, which is a single stage of a gear element and an electrical model that is an asynchronous motor. Secondly, we use homogeneous sliding mode observers in order to supervise the gear dynamical behavior. The observers' parameters are suitably chosen to ensure rapid and accurate convergence between the real and the estimated system states. Finally, a comparative study between three simulations is presented in order to illustrate the observers performances and the influence of the mechanical dynamics on the electrical states.

show abstract

Section: B Some Recalls On Observer Designmentioning

confidence: 99%

Section: Observer Design Of the Electro-mechanical Systemmentioning

confidence: 99%

Section: Observer Design Of the Electro-mechanical Systemmentioning

confidence: 99%

See 1 more Smart Citation

Application of homogeneous observers with variable exponent to a mechatronic system

Derbel

Féki

Nicolau

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…The observers are used in order to control the behavior of systems, to detect the faults or to identify the unknown parameters of systems (Oueder 2012). In our case, four differentiatiors (Ghanes et al 2017) are used to estimate the drift of both currents of the asynchronous motor and the displacements of the gear element. Assuming that [s 1 , ..., s 8 ] = [i ds ,i ds , i qs ,i qs , θ 1 ,θ 1 , θ 2 ,θ 2 ], the observer equations are written in following form:…”

Section: Observer Formmentioning

confidence: 99%

Electro-Mechanical System Control Based on Observers

Derbel

Féki

Barbot

et al. 2018

Applied Condition Monitoring

View full text Add to dashboard Cite

The monitoring of the gear behavior is becoming major concerns in several industries for improve production and safety. For this reason, in this article, an electromechanical modeling is developed in order to simulate a gear element driven by an asynchronous motor. The electrical part, which is an induction motor, is modeled by using the Kron's model while the mechanical part, which is a single stage gear element, is accounted for by a torsional model. The mechanical model that simulates the pinion-gear pair is obtained by reducing the degree of freedom of the global spur or helical gear system. The electrical and mechanical state variables are coupling in order to obtain a unique differential system that describes the dynamics of the elecromechanical system. The global coupled electro-mechanical model can be characterized by a unique set of non-linear state equation. The aim of this work is to apply the control based on observers in order to supervise the electrical and mechanical behavior of the electro-mechanical system from only its inputs and its measurements outputs (sensors outputs).

show abstract

“…Within this class of observers we recall passivity-based designs, e.g. [2]; techniques based on LMIs conditions, [5], [23], [25]; Luenberger-like observers (also known as Kazantzis-Kravaris Luenberger observers), e.g., [1], [13]; approaches which use normal forms induced by uniform observability conditions such as high-gain observers, e.g., [3], [4], [8], [14]; sliding-mode observers, e.g., [9]. When the system's dynamics are very complex, the design of such observers may be not possible, e.g., because of non-feasibility of the LMIs [2], [5], [25], or too complicated to apply, e.g.…”

Section: Introductionmentioning

confidence: 99%

Uniting local and global observers for the state estimation of nonlinear continuous-time systems

Astolfi

Nešić

2017

2017 IEEE 56th Annual Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

Generic techniques are available for the design of local observers for nonlinear continuous-time systems. By local, we mean that the state estimate is guaranteed to converge to the true state, provided its initial value is nearby the plant initial condition. The main drawback of this approach is the right initialization of the observer, which may not be easy in practice. To overcome this potential issue, we propose to combine two observers: a local one, and an other observer, which provides (approximate) estimates but in a global sense, namely for any initial condition. We explain how to combine these two observers with a hybrid scheme guaranteeing global asymptotic convergence. The hybrid observer, called uniting observer, matches the local observer when the initial conditions are nearby the initial conditions of the observed system. We illustrate the proposed approach by means of a numerical example.

show abstract

A second order sliding mode differentiator with a variable exponent

Cited by 14 publications

References 27 publications

Application of homogeneous observers with variable exponent to a mechatronic system

Application of homogeneous observers with variable exponent to a mechatronic system

Electro-Mechanical System Control Based on Observers

Uniting local and global observers for the state estimation of nonlinear continuous-time systems

Contact Info

Product

Resources

About