Fixed-Order H-infinity Optimization of Time-Delay Systems
H-infinity controllers are frequently used in control theory due to their robust performance and stabilization. Classical H-infinity controller synthesis methods for finite dimensional LTI MIMO plants result in high-order controllers for highorder plants whereas low-order controllers are desired in practice. We design fixedorder H-infinity controllers for a class of time-delay systems based on a non-smooth, non-convex optimization method and a recently developed numerical method for H-infinity norm computations.
KeywordsLinear Matrix Inequality Nonsmooth Optimization Nonconvex Optimization Nonlinear Eigenvalue Problem Exogenous Disturbance
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This article presents results of the Belgian Programme on Interuniversity Poles of Attraction, initiated by the Belgian State, Prime Ministers Office for Science, Technology and Culture, the Optimization in Engineering Centre OPTEC of the K.U.Leuven, and the project STRT1-09/33 of the K.U.Leuven Research Foundation.
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