Robust H∞ Control of Takagi–Sugeno Systems with Actuator Saturation

Producción CientíficaThe robust static output feedback control for continuous-time Takagi–Sugeno systems subject to actuator saturation is solved here, including H∞ performance guarantees. Based on a polytopic model of the saturation, sufficient conditions are proposed for designing these controllers in terms of Linear Matrix Inequalities. With the aid of some special derivations, bilinear matrix inequalities are converted into a set of linear matrix inequalities which can be solved easily without requiring iterative algorithms or equality constraints, moreover, the output matrix of the considered system does not require to be full row rank. Finally, some examples are presented to show the validity of the proposed methodology

Homogenous polynomial H ∞ filtering for uncertain discrete-time systems: A descriptor approach

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Robust Observer Design of One-Sided Lipschitz Nonlinear Systems

International audienceIn this paper focuses on the robust observerdesign for Lipschitz nonlinear systems uncertainparameters and L2 bounded admissible externaldisturbance. The one sided Lipschitz and quadraticallyinner-bounded conditions have been utilized toderive less conservative synthesis condition for theobserver design. Then, a new design methodology isestablished, with the help some special derivations,Bilinear Matrix Inequalities (BMIs) are successfullytransformed into a set of Linear Matrix Inequalities(LMIs) which can be solved using a single step resolutionprocedure. The effectiveness of the proposedmethod is validated via a numerical example

Improved results on observer-based control for discrete-time fuzzy systems

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