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This paper deals with the synthesis of a novel internal multimodel control designed for nonlinear overactuated systems. The multimodel approach is proposed to deal with system nonlinearity. A base of linear models is considered to describe the nonlinear system in the whole operating domain and then squared by adding virtual outputs. An internal model controller, obtained by a specific inversion method,...
This paper deals determine the relative robust stability of the multivariable over-actuated system with parametric uncertainty using Kharitonov theorem and Routh stability criterion. The robust internal model controller (IMC) is used for relative robust stability analysis of the two outputs MIMO systems and the effect of controllers on time region performance specifications such as steady state error,...
This paper deals with the Internal Model Control (IMC) design which is based on the use of a specific controller and extended to the case of linear multivariable underactuated systems. The case of a class of linear underactuated systems with two degrees of underactuation will be considered in order to confirm the effectiveness of the proposed approach to ensure set-point tracking and disturbance rejection...
In this paper, we study the control of a nonlinear discrete-time system. The complexities submitted by the appropriate system is proposed to apply the learning approaches in the representation and the control. An implementation of the Adaptative Fuzzy Internal Model Control Discrete-time is carried that the process is a fuzzy discrete-time nonlinear systems of Takagi-Sugeno type obtained by fuzzy...
Through this article, we will focus on the most common problem in the internal model control for multivariable systems with multiple time delays, that is the reversal of the corrector. This problem seems to be quite annoying when we face a non-square system. Our ultimate work developed through this paper, will be concentrated on a specific work structures to overcome the mean difference between the...
This paper deals with the problem of discretization of uncertain linear sytems with time state delay. The parameter uncertainties are assumed to be norm bounded and appear in all the matrice of the state space model. We develop three different methods of discretization for the uncertain systems with time delay based on the Euler's and Tustin's approximations. The proposed methods depend mainly on...
This paper proposes an approach of Internal Model Control (IMC) for the linear sampled multivariable non-square systems with outputs more than inputs. The proposed IMC, which is based on a specific inversion principle, is the extension of to the case of square systems, in the controller design, a simple method is presented to add a complementary transfer function matrix of the process to obtain a...
This paper deals with a discretization of multivariable fully actuated linear systems controlled with an Internal Model Control (IMC). The proposed IMC is based on a specific inversion method and it presents an extension to the case of Multi-Input-Multi-Output (MIMO) discrete-time systems. The case of fully actuated linear system is considered and it approved the effectiveness of the proposed approach...
In this paper, the asymptotical stability analysis problem of nonlinear neutral systems with mixed time-varying delays is investigated. By using the Lyapunov-Krasovskii type of descriptor functional, including the triple integral inequalities and free weighting matrix technique, a less conservative delay-decomposition stability criterion is formulated. The main contribution of the proposed method...
An approach of Internal Model Control (IMC) of discrete Multi-Input-Multi-Output (MIMO) systems is proposed in this paper, and then different methods of discretization are mentioned for those systems, however two methods are applied for two-input-two-output systems which are controlled with IMC approach. Finally, an application is presented to show the validity and the robustness of this specific...
This paper investigates the asymptotical stability analysis problem for a class of nonlinear neutral systems with mixed time-varying delays. In order to reduce the conservatism, a new delay-dependent asymptotic stability criterion is proposed based on the Lyapunov-Krasovskii functional. Finally, a numerical simulation is presented to illustrate the effectiveness of the proposed approach using the...
In this paper, we propose new approaches to the control of uncertain and sampled systems. The stability study of this class system is based on the schur and Kharitonov theorems. We propose to apply the approach of the internal model control for the uncertain parametric uncertainty sampled system. In addition, the strategy of internal multi-model control is proposed. This second approach uses as internal...
In this paper, we consider the problem of delay dependent stability of neutral system with time varying delays. By using an augmented Lyapunov functional, a new delay dependent sufficient stability criterion is obtained in terms of Linear Matrix Inequalities LMIs. The proposed approach involves neither free weighting matrices, nor any model transformation, and it is shown that these criteria can provide...
This paper focuses on the problem of robust exponential stabilization for uncertain systems with time varying delays. Based on Lyapunov parameter dependent functional, a linear memoryless state-derivate feedback controller is synthesized to guarantee the exponential convergence. Hence, the allowable upper bound of time delay system can be estimated with respect to the delay decay rate. The novel delay...
The robust control of an uncertain continuous linear system is evoked in this paper. The stability study for this class of system is based on the application of the Hurwitz and Kharitonov theorems. An approach of internal model controller synthesis for uncertain linear continuous systems is proposed in this paper. This approach is based on the use of a nominal model of the uncertain system. The case...
This paper deals with the exponential stability analysis problem of neutral systems with mixed time delays and nonlinear perturbations. Using the Lyapunov theory and the free weighing matrices method, a delay decomposition approach is developed by introducing a new quadratic Lyapunov Krasovskii functional, which is constructed by uniformly dividing the delay interval into multiple equal length subintervals...
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