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Tensor product model transformation in polytopic model-based control

Author: Péter Baranyi; Y Yam; Péter Várlaki
Publisher: Boca Raton : CRC Press, [2014] ©2014
Series: Automation and control engineering.
Edition/Format:   Print book : EnglishView all editions and formats

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Document Type: Book
All Authors / Contributors: Péter Baranyi; Y Yam; Péter Várlaki
ISBN: 9781439818169 1439818169
OCLC Number: 847985637
Description: xiii, 248 pages : illustrations ; 25 cm.
Contents: IntroductionSignificant paradigm changesCurrent computational methods and ApplicationsRole of the TP model transformation in control designPart I: Tensor-product Model Transformation of Linear Parameter Varying ModelsHigher Order Singular Value Decomposition of TensorsBasic concept of tensor algebraHigher Order Singular Value Decomposition (HOSVD)Approximation trade-off by HOSVDHOSVD-based canonical form of Linear Parameter-varying ModelsLinear Parameter-Varying state-space modelHOSVD-based canonical form of LPV modelsNumerical reconstruction of the HOSVD based canonical formTP model transformationAlgorithm of the TP model transformationExample of the TORA benchmark systemComputational relaxed TP model transformationColumn equivalenceModified TP transformationEvaluation of complexity reductionDiscretization complexityComputational load of the HOSVDComputational load of the tensor productNumerical examplesA simple exampleA more complex exampleConvex TP model forms of Linear Parameter-varying ModelsConvex TP modelDifferent types of convex TP modelsComputation of different convex TP modelsMethods for SN, NN and NO type matricesInverse, relaxed and normalized convex TP models (lNO, RNO)The TORA benchmark exampleApproximation and complexity trade-off by the TP model transformationApproximation theory frameworkNo-where densenessExamplesPart II: Control Design ExamplesTP model transformation based designLinear Matrix Inequality in system control designParallel Distributed Compensation based control design frameworkImmediate link between the TP models and the PDC design frameworkTP model transformation based control design methodologyApplication to 2-D prototypical aeroelastic wing section with structural nonlinearityIntroduction to the prototypical aeroelastic wing sectionFinite element convex TP model of the prototypical aeroelastic wing sectionState-feedback control designObserver based output-feedback control designApplication to 3 DOF helicopter with four propellersNomenclatureEquations of Motion of the RC Helicopter DynamicsFinite element convex TP model of the -3-DOF RC helicopterControl design of the3-DOF RC helicopterControl resultsApplication to Parallel Double Inverted PendulumNomenclatureEquations of Motion of the RC Helicopter DynamicsFinite element convex TP model of the PDIPControl design of the PDIPControl results
Series Title: Automation and control engineering.
Responsibility: Péter Baranyi, Yeung Yam, Péter Várlaki.


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"... well written and easily readable. ... The examples and applications to 3 Degrees Of Freedom (DOFs) control schemes for helicopters, models for aeroelastic wing sections and models for Read more...

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