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• W2766776886 abstract "Abstract The paper revisits and renew the concept of Polytopic Tensor Product (TP) Model based control analysis and synthesis by generalizing the use of TP-structured variables in the definite conditions derived from the applied control criteria. For TP forms that can depend on multivariate parameter sets (optionally with two times or larger multiplicities), a compact TP formalism is proposed where the multiplicity vector describes the structure. By setting the multiplicities, the parameter dependencies can be neglected or considered with arbitrary high complexity in the variables of controller-candidate, Lyapunov-function candidate and slack variables as well. The paper points out that the definite conditions on the structures of these variables results in definite conditions on Polytopic TP forms enabling a recursive method to reformulate them into Linear Matrix Inequalities (LMIs), Bilinear Matrix Inequalities (BMIs), etc. according to the design method in consideration. The application of the novel concept is shown through H∞ state feedback design for Linear Parameter Varying (LPV) systems." @default.
• W2766776886 created "2017-11-10" @default.
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• W2766776886 date "2017-07-01" @default.
• W2766776886 modified "2023-09-29" @default.
• W2766776886 title "Control Analysis and Synthesis through Polytopic Tensor Product Model: a General Concept" @default.
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• W2766776886 doi "https://doi.org/10.1016/j.ifacol.2017.08.611" @default.
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