Fuzzy discontinuous term for a second order asymptotic DSMC: An experimental validation on a chemical reactor

Mihoub, Mohamed; Messaoud, Anis; Ltaïef, Majda; Nouri, Ahmed Saïd; Abdennour, Ridha Ben

doi:10.1002/asjc.321

Cited by 16 publications

(13 citation statements)

References 15 publications

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“…The foregoing analysis reveals that a small tracking error bound can be achieved by the equivalent control (23) in theory. In practice, there always exists a disturbance estimation error P k = 0, especially when a large sampling time T is used.…”

Section: Error Bound Analysismentioning

confidence: 93%

Piezoelectric Nanopositioning Control Using Second-Order Discrete-Time Terminal Sliding-Mode Strategy

2015

IEEE Trans. Ind. Electron.

100

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This paper presents the design of a novel secondorder discrete-time terminal sliding mode control (2-DTSMC) strategy and its application to motion tracking control of a piezoelectric nanopositioning system, which possesses a highorder plant model. The 2-DTSMC strategy is established based on the output feedback only, which eliminates the use of a state observer and facilitates an easy realization. Theoretical analysis proves that the quasi-sliding mode is reached in finite time along with a high accuracy of the output tracking. The effectiveness of the proposed control scheme is validated through comparative investigations. Experimental results show that the 2-DTSMC strategy is superior to traditional discrete-time sliding mode control (DSMC), second-order DSMC (2-DSMC), and DTSMC algorithms in terms of motion tracking accuracy, which demonstrates the efficiency of the reported 2-DTSMC scheme with a second-order, nonlinear sliding surface.

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Section: Error Bound Analysismentioning

confidence: 93%

Piezoelectric Nanopositioning Control Using Second-Order Discrete-Time Terminal Sliding-Mode Strategy

2015

IEEE Trans. Ind. Electron.

100

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“…There are many works concentrated on the determination of m j . The state estimation error can be expressed as follows:

{\overset{x}{true}}_{c} ((), k) = x_{c} ((), k) - {\overset{x}{true}}_{c} ((), k)

The main purpose of the present section is to find the strategy that determines the multiobserver gain matrix L c ensuring the stability of the proposed multiobserver.…”

Section: Design Of a Discrete Sliding Mode Uncoupled State Multiobsermentioning

confidence: 99%

A Sliding Mode Multiobserver Based on an Uncoupled Multimodel: An Application on a Transesterification Reaction

Montacer

Dehri

Atia

et al. 2018

Asian Journal of Control

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This paper concerns the design of robust sliding mode multiobserver for nonlinear systems. A discrete uncoupled multimodel structure is retained for the modeling of nonlinear systems. Unlike the classically used multimodel structures, the retained uncoupled multimodel is known by its flexibility of modeling, thus, the structures of the partial models are adapted to the complexity of the local models in each operating zone. Sufficient conditions are provided, in terms of linear matrix inequalities (LMIs), to ensure the asymptotic stability of the proposed sliding mode multiobserver. A convergence analysis is achieved to obtain the convergence radius. A numerical example and a real time application on a transesterification reactor are carried out to illustrate, once again, the performance of the proposed sliding mode multiobserver in terms of precision and rapidity of convergence.

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“…In high-order sliding mode control, the purpose is to force the state to move on the intersection of the sliding surface S(k) and its derivatives [5], [13]. In the case of the discrete second order sliding mode control (2-DSMC), the following relation must be verified…”

Section: Second Order Sliding Mode Control With Classical Sliding Funmentioning

confidence: 99%

“…But the problem of the chattering phenomenon still exist with the first sliding mode controller using the classical surface for linear time delay systems with mismatched time varying parameter uncertainties. Mihoub et al proposed in [13], a fuzzy supervised discontinuous term to reduce the chattering phenomenon and the reaching phase duration. In [5], the authors provide a solution to successively eliminate chattering based on a second order version of sliding mode (2-DSMC).…”

Section: Introductionmentioning

confidence: 99%

A New Sliding Surface for Discrete Second Order Sliding Mode Control for Time Delay Systems with Time Varying Uncertainties

Nizar¹,

Nouri²

2012

IJCA

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In this work, a discrete second order sliding mode control with a new sliding function for a linear uncertain system with state delay is proposed. The systems are assumed to have structured mismatched time varying uncertainties. Firstly, a new sliding function include a present and a past value of the state, called dynamic surface, is designed by means of linear matrix inequalities (LMI). Then, a robust discrete second order sliding mode controller with this new function is investigated to overcome the effect of time delay and uncertainties in the closed loop. A numerical example illustrates the effectiveness and the advantages of the proposed approach.

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Fuzzy discontinuous term for a second order asymptotic DSMC: An experimental validation on a chemical reactor

Cited by 16 publications

References 15 publications

Piezoelectric Nanopositioning Control Using Second-Order Discrete-Time Terminal Sliding-Mode Strategy

Piezoelectric Nanopositioning Control Using Second-Order Discrete-Time Terminal Sliding-Mode Strategy

A Sliding Mode Multiobserver Based on an Uncoupled Multimodel: An Application on a Transesterification Reaction

A New Sliding Surface for Discrete Second Order Sliding Mode Control for Time Delay Systems with Time Varying Uncertainties

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