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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 design of positive observers for positive interval systems with time delay. For that, a solution based on LMI programming is provided to the problem of designing observers that ensure guaranteed bounds on the estimated states that are nonnegative whenever the initial conditions are nonnegative. Furthermore, it is revealed that an unstable positive system cannot be...
This paper presents a positive observer design methodology 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. Conditions are established in order to guarantee the convergence of the state error. These conditions are given as Linear...
This paper is concerned with the design of positive observers for positive interval systems with time delay. For that, a solution based on LMI programming is provided to the problem of designing observers that ensure guaranteed bounds on the estimated states that are nonnegative whenever the initial conditions are nonnegative. Furthermore, it is revealed that an unstable positive system cannot be...
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...
This paper presents conditions for design of observers for nonlinear systems represented by a Takagi-Sugeno-type model, whose state variables take only nonnegative values at all times t for any nonnegative initial state (positive systems). The derived observers have a Takagi-Sugeno structure and ensure the nonnegativity of the observed states. The conditions are derived as Linear Programming and Linear...
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