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Publications (21)
In this work, the authors propose an analytical and systematic technique to represent the discrete nonlinear singularly perturbed system (SPS) by a coupled state multimodel (MM). This approach is realized without loss of information. This strategy can be applicable to any order SPSs. Another significant characteristic of this technique is to choose...
This paper presents a novel approach to deal with ummeausrable premise variables (UMPVs) in observer design for discrete non linear singularly perturbed systems (DNSPSs). The considered system is represented by a coupled state multi model (MM) with UMPVs. The proposed approach consists to immerse the DNSPSs with UMPVs in new representation depend o...
This paper treats the observability bound problem of discrete-time linear multivariable singularly perturbed system (SPS). Using appropriate Lyapunov functionals, satisfactory conditions formulated in term of Linear Matrix Inequalities (LMIs) are elaborated to analyse the asymptotic stability of the system in one hand and in the other hand to prove...
This article deals with the observability bound problem of a discrete-time nonlinear singularly perturbed systems (SPSs) subject to disturbances and noises. This nonlinear SPS is represented by a coupled state multimodel (MM) with unmeasurable premise variables. A [Formula: see text] proportional-integral multiobserver ([Formula: see text] PI multi...
Many control and observability theories for singularly perturbed systems require the full knowledge of system model parameters exceptionally if the system is considered as black box. To overcome this problem and to obtain an accurate and faithful model, this paper describes a new identification method for discrete-time nonlinear singularly perturbe...
In this paper, the problems of asymptotic stability and stabilization for linear discrete singularly perturbed systems (SPS) with time delay are investigated. First, using an appropriate Lyapunov functional, new Linear Matrix Inequalities (LMIs) are proposed to analyse the asymptotic stability of discrete SPS with time delay. Delaydependent stabili...
This article investigates the problem of state feedback stabilisation for discrete nonlinear singularly perturbed system with time-delay which is represented by a coupled multimodel. Based on an appropriate Lyapunov function, new sufficient conditions are given as a set of Linear Matrix Inequalities (LMIs) that are used to get the gains of controll...
In this paper, multimodel and neural emulators are proposed for uncoupled multivariable nonlinear plants with unknown dynamics. The contributions of this paper are to extend the emulators to multivariable non square systems and to propose a systematic method to compute the multimodel synthesis parameters. The effectiveness of the proposed emulators...
This paper deals with the adaptive control of single-input multi-output (SIMO) underactuated nonlinear systems. The restriction of the control authority for these systems causes major difficulties in control design. In this work, we propose an adaptive neural controller based on neural emulator to solve the control problems for a class of SIMO nonl...
This work describes multivariable adaptive neural control based on multimodel emulator for nonlinear square MIMO systems. Multimodel approach is an interesting alternative and a powerful tool for modelling and emulating complex processes. This paper deals with the identification of nonlinear MIMO systems employing an uncoupled multimodel. Efficienc...
In this paper, multimodel and neural emulators are proposed for nonlinear plants with unknown dynamics. The contribution of this paper is to extend the emulators to multi-variable non square systems. The effectiveness of the proposed emulators are shown through an illustrative simulation example. The obtained results are very satisfactory and show...
This work investigates an uncoupled multimodel emulator for non-linear system control design. Efficiency of the proposed multimodel emulator is illustrated by comparison with the neural one by their application to SISO indirect adaptive neural control. Neither an initialisation parameter and nor online adaptation is required for multimodel emulator...