Dehri Khadija

University of Gabès · Département de Génie Electrique-Automatique

The difficulty of observer design for a general class of nonlinear system and the reduction of chattering phenomenon are still challenging tasks in the theory of sliding mode observers. Thus, this paper aims to develop a novel second order sliding mode multiobserver (2SMMO) in order to avoid these problems. Indeed, a decoupled multimodel approach i...

The design of an accurate observer is still a challenging problem for nonlinear systems subject to fault signals. This paper addresses the problem of simultaneous state and sensor fault estimation for discrete-time nonlinear systems. An uncoupled multimodel approach is adopted to deal with nonlinear systems subject to sensor faults. A simple sensor...

The chattering phenomenon is one of the most pervasive problems in sliding mode control (SMC), especially for discrete time applications. In this paper, we propose a new discrete output feedback second order sliding mode control (DOF2SMC). The design of this controller is based on the Linear Matrix Inequalities (LMI) approach. Then, an adaptive swi...

The robustness issue of uncertain nonlinear systems’ control has attracted the attention of numerous researchers. In this paper, we propose three techniques to deal with the uncertain Hammerstein nonlinear model. First, a discrete sliding mode control (SMC) is developed, which is based on converting the original nonlinear system into a linearized o...

The main challenge of sliding mode control is how to reduce chattering phenomenon. In this work, a discrete terminal neuro-sliding mode control with adaptive switching gain for a nonlinear system is presented. This new strategy blends the benefits of terminal sliding mode control and neuronal network. It guarantees a finite-time convergence of the...

The problem of sensitivity to uncertainties and disturbances is still a challenging task in the theory of discrete sliding mode controller. In this article, a discrete repetitive adaptive sliding mode control using only input-output measurements of linear time-varying system with periodic disturbances is proposed. A new indirect adaptive algorithm...

The present paper deals with the design of sliding mode multiobserver for nonlinear systems with delayed measurements. The discrete uncoupled state multimodel is exploited to describe the global behavior of nonlinear systems. Therefore, the complexity of the latter can be reduced by its decomposition into a finite number of partial models. The prop...

The identification and the design of an accurate control are still an active researches of nonlinear systems subject to harmonic disturbances. In this paper, we propose two techniques to deal with nonlinear system identification and control problems. First, a new identification scheme based only on input/output measurements is proposed. In this sch...

In this paper, a sliding mode observer for discrete-time multivariable systems is proposed. A linear matrix inequalities based on the Lyapunov theory for the design of asymptotically stable sliding mode observer is formulated and the stability of reconstruction error systems is discussed. The convergence analysis of the proposed observer is develop...

Blocks oriented models are the most structure used to describe nonlinear systems. These models are composed with two blocks: the first is a nonlinear part and the second is a linear part. Hammerstein model is one of block oriented models. Recently, the design of sliding mode control (SMC) in discrete-time for nonlinear systems is done using this st...

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 mode...

This paper proposes a discrete-time neuro-sliding mode control for an uncertain nonlinear system (NL_NDSMC). The proposed technique guarantees the stability of the system and achieves zero tracking error comparing with the classical discrete sliding mode control. Although, it reduces chattering phenomenon. The selection of the neuronal sliding surf...

This paper proposes a discrete-time neuro-sliding mode control for an uncertain nonlinear system (NL_NDSMC). The proposed technique guarantees the stability of the system and achieves zero tracking error comparing with the classical discrete sliding mode control. Although, it reduces chattering phenomenon. The selection of the neuronal sliding surf...

This paper shows comparison between the Predictive Sliding Mode Controller (PSMC) and the Sliding Mode Controller with Predictive Sliding Function (SMC-PSF). The proposed controllers combine the design of Sliding Mode Control (SMC) with Model Predictive Control (MPC). This combination improves the performance of these two control laws. In fact, usi...

Solving the problem of unpredictable transient responses and tracking reference trajectories has recently becomes one of the challenging aspects of Model Reference Adaptive Control (MRAC). In this paper, a Discrete Variable Structure Model Reference Adaptive Control using only input output measurements (D-VS-MRAC-IO) for linear non strictly positiv...

During the reachability phase, the sliding mode control is sensitive to external disturbances and uncertainties. In this paper, we propose to determine coefficients of the sliding function using the technique of Linear Matrix Inequalities (LMIs) for single-input single-output time delay systems. This technique leads to an optimal choice of the slid...

Harmonic disturbance rejection is an important field of control theory and applications. In this paper a discrete first and second order sliding mode control for multivariable systems are investigated. The necessary conditions of harmonic disturbances rejection using first and second order sliding mode control laws are elaborated. In order to impro...

Designing an adequate controller for a plant with an arbitrary relative degree is still an active area of research. In this paper, a discrete variable structure model reference adaptive control using only input-output measurements (DVS-MRAC-IO) for not Strictly Positive Real (NSPR) system with a relative degree two is proposed. In order to show the...

The sliding mode control (SMC) has several advantages in terms of good transient performance and system robustness. However, the sensitivity of this control technique to disturbance before reaching the sliding surface and the existence of the chattering phenomenon can be considered as the major problems in its implementation. To overcome these prob...

In the present work, we propose a supervised multimodel repetitive-predictive control scheme for discrete-time nonlinear systems in order to reject unknown non-stationary sinusoidal disturbances and to track reference trajectory. The nonlinear system is described by the decoupled state multimodel. Also, a non-stationary sinusoidal unknown input mul...

The technique of linear matrix inequalities is a powerful method for solving optimization problems. In this paper, a sliding function vector was calculated using linear matrix inequalities approach. This technique provided optimal values of the coefficients of the sliding function vector, which led to the reduction of the reachability phase. Then,...

This paper deals with the development of two strategies of control, for multivariable systems, combining Sliding Mode Control (SMC) and Model Predictive Control (MPC). This is an extension of our previous works synthesized in the case of single input single output. The first proposed controller is the Sliding Mode Control with Predictive Sliding Fu...

The problem of the chattering phenomenon is still the main drawback of the classical sliding mode control. To resolve this problem, a discrete second order sliding mode control via input-output model is proposed in this paper. The proposed control law is synthesized for decouplable multivariable systems. A robustness analysis of the proposed discre...

This paper shows the development of a Discrete Sliding Mode Control with Predictive Sliding Function (SMCPSF) for multivariable systems. This is an extension of our previous works synthesized in the case of single input single output. The multivariable (SMC-PSF) consists of two loops, the primary loop is a Model Predictive Control (MPC) and the sec...

This paper shows the development of a Discrete Sliding Mode Control with Predictive Sliding Function (SMCPSF) for multivariable systems. This is an extension of our previous works synthesized in the case of single input single output. The multivariable (SMC-PSF) consists of two loops, the primary loop is a Model Predictive Control (MPC) and the sec...

In this paper, a multi-rejector of periodic disturbances is proposed for discrete-time nonlinear systems represented by a decoupled state multimodel. We report a decoupled state multimodel repetitive-predictive control based on a supervised algorithm to ensure reference trajectory tracking and periodic disturbances rejection. Partial predictors ass...

In this paper, we propose two methods of discrete sliding mode control. The first is the discrete fast terminal sliding mode control (DFTSM) and the second is the discrete integral sliding mode control (DISMC). These methods are proposed in order to overcome sliding mode problems, such as chattering phenomenon, convergence speed and rejection of ex...

Designing an adequate controller for plant with uncertainties is still an open area for research. In this paper, a discrete adaptive sliding mode control is proposed for the input-output systems with uncertain parameters. It's motivated by the use of recent new variations of Recursive Least Square algorithm (M-RLS). This algorithm is combined with...

This paper shows the development of a Discrete Predictive Sliding Mode Controller (DPSMC) for multivariable systems. This is an extension of our previous works synthesized in the case of single input single output. The multivariable DPSMC consists on two loops, the primary loop is a Sliding Mode Control (SMC) and the secondary loop is a Model Predi...

In this paper, we are interested to prove the performances of discrete sliding mode control for multi-variable systems with time delays. A dynamical sliding surface vector is proposed. This vector strategy is based on the a present and past values of the state. The coefficients of dynamical sliding surface vector were obtained optimally due to the...

Predictive sliding mode controller have been succefully implemented in the last 10 years overcoming the drawbacks of the traditional sliding mode control and the generalized predictive control strategies. This paper investigates the stability analysis of the new Discrete Predictive Sliding Mode Controller (DPSMC) for multivariable systems. The basi...

In this work, a robust discrete second order sliding mode control (2-DSMC) via input-output model for multivari-able systems was proposed. Firstly, a discrete second order sliding mode control for decouplable multivariable systems was presented. Then, a robust discrete second order sliding mode control for nondecouplable multivariable systems was d...

The success of the sliding mode control (SMC) is due to the simplicity of its implementation and its robustness against external disturbances via state space and input output model. In spite of this characteristic, the sliding mode control (SMC) suffers from a main drawback known as the 'chattering phenomenon'. In order to overcome this problem, a...

In this work, a robust discrete second order sliding mode control (2-DSMC) via input-output model for multivariable systems was proposed. Firstly, a discrete second order sliding mode control for decouplable multivariable systems was presented. Then, a robust discrete second order sliding mode control for nondecouplable multivariable systems was de...

In this paper a repetitive sliding mode control (RSMC) with frequency estimator for discrete multivariable systems to reject unknown sinusoidal disturbances is proposed. The RSMC can reject only the harmonic disturbances with known frequency. When, this frequency is unknown or varying in time,we use a new strategy based on the combination between t...

This paper shows the development of a Sliding Mode Controller with Predictive Sliding Function (SMC-PSF). The proposed controller blends the design of Sliding Mode Control (SMC) with Model Predictive Control (MPC). In fact, a cascade control strategy is proposed to determine the optimal linear surface parameters of the sliding mode control. The com...

In this paper, we propose a new adaptive control law with Q-parametrization for discrete multi-input multi-output systems subjected to sinusoidal disturbances with time-varying frequency. The rejection of sinusoidal disturbances with known frequency is obtained using partial state reference model control with Youla-Kucera parametrization. However,...

This paper shows the development of a Predictive Sliding Mode Controller (PSMC). The proposed controller blends the design of Sliding Mode Control (SMC) with Model Predictive Control (MPC). The combination of SMC and MPC improves the performance of these two control laws. The designed control strategy has stronger robustness and chattering reductio...

A new discrete second order sliding mode control for the single input single output systems is proposed in this paper. The control law is based on an input-output model. The new control strategy is designed in order to reduce the chattering phenomenon that appears in classical sliding mode control. A numerical simulation example is presented to ill...

Disturbances rejection is an important field of control theory. In this context, our paper is proposed to deal with asymptotic rejection of periodic disturbances affecting discrete multivariable systems with an interactor matrix. A multivariable repetitive sliding mode control is proposed to cancel the disturbances when the system is nondecouplable...

The design of accurate control becomes more difficult due to the complexity of industrial processes. In this paper, we are interested on the tracking of reference trajectories and the rejection of harmonic disturbances for discrete multi-input multi-output systems. A new control strategy based on the combination of partial state reference model con...

The design of accurate control becomes more difficult due to the complexities of real systems. In this paper, a new discrete second order sliding mode control for nonlinear multivariable systems with external disturbances is proposed. The new control strategy is designed in order to reduce the chattering phenomenon that appears in classical sliding...

The Sliding Mode Control (SMC) is well known by its robustness to parameter uncertainties or external disturbances. The repetitive control (RC) is able to track or reject periodic and multi-periodic signals. This paper presents a new control strategy as a combination of a Sliding Mode approach and Repetitive Control to reject periodic and multi-per...

This paper presents a control strategy using Sliding Mode Control (SMC) and Repetitive Control (RC) for linear multiinput discrete-time systems to reject periodic and multiperiodic disturbances. A new reaching law is used to steer the system trajectories into the sliding surface and then keep them on it without chattering. The repetitive control is...

Reference trajectory asymptotic tracking and disturbance re-jection are an important field of control theory. In this paper, we are interested on the tracking of reference trajectories and the rejection of periodic disturbances with unknown frequency for multivariable systems. If the frequency is known, a classical solution is to use a multivariabl...