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This paper is concerned with the design of robust observer based controllers for continuous-time linear systems with parameter uncertainties. The proposed method allows one to compute simultaneously the observer and controller gains by solving a single bilinear matrix inequalities (BMI), which becomes an linear matrix inequalities (LMI). Numerical examples are given to illustrate the validity and...
The purpose of this paper is to design a congestion controller for Networks TCP/IP Routers, while the available link bandwidth is modeled as a time-variant disturbance. Considering the new uncertain TCP flow model, a memoryless H∞ robust controller is designed to guarantee the stability and performance under time-varying network conditions. The controller parameters are obtained through standard linear...
This paper is devoted to the stabilization of positive Takagi-Sugeno (T-S) systems with unmeasurable premise variables in the continuous case. More precisely, two approaches have been presented. The first approach is based on a representation of the estimation error by that of the case where the decision variables are measurable but affected by disturbance. In the second approach, the expression of...
This paper is concerned with the robust H∞ filtering for uncertain discrete-time stochastic systems with polytopic uncertainties. To solve this problem we introduce same slack matrix variables and then use a polynomial parameter dependent approach. Then some conditions expressed as strict linear matrix inequality conditions are derived, which can be easily tested by using standard numerical software...
The robust H∞ filtering problem for linear continuous-time stochastic systems with polytopic parameter uncertainties is studied in this paper, providing a methodology for its solution using a polynomial parameter dependent approach. The new linear matrix inequality (LMI) conditions obtained for the existence of admissible filters are developed based on homogenous polynomial parameter-dependent matrices...
This paper presents a new methodology of designing a positive observer based-tracking controller for Takagi-Sugeno systems with unmeasurable premise variables. For that, a positive Takagi-Sugeno observer is developed in order to estimate the system states and to guarantee the nonnegativity of the estimates at each time. Convergence conditions are established in order to guarantee the convergence of...
The problem of synthesizing stabilizing controllers, when the closed-loop system is required to remain positive, is solved for a class of 2-D systems described by a general model. More precisely, the synthesis of local state-feedback controllers is solved in terms of Linear Programming to deal with the stabilization under constrained controls and nonnegative states. A numerical example is given to...
This paper solves the problem of designing stabilizing regulators for linear systems subject to control saturations and asymmetric constraints on its increment or rate, using reduced dimension linear matrix inequalities (LMIs) developed on a reduced-order state space. Compared with previous approaches, the proposed technique is valid for asymmetric constraints on the increment or rate of the control...
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