Tensor product model transformation in polytopic model-based control. (©2014)

• Record Type: Book
• Further Information: Note: Péter Baranyi, Yeung Yam, Péter Várlaki.
• Other Names: Baranyi, Péter, 1970-; Yam, Y (Yeung); Várlaki, Péter
• Contents: Introduction Significant paradigm changes Current computational methods and Applications Role of the TP model transformation in control design Part I: Tensor-product Model Transformation of Linear Parameter Varying Models Higher Order Singular Value Decomposition of Tensors Basic concept of tensor algebra Higher Order Singular Value Decomposition (HOSVD) Approximation trade-off by HOSVD HOSVD-based canonical form of Linear Parameter-varying Models Linear Parameter-Varying state-space model HOSVD-based canonical form of LPV models Numerical reconstruction of the HOSVD based canonical form TP model transformation Algorithm of the TP model transformation Example of the TORA benchmark system Computational relaxed TP model transformation Column equivalence Modified TP transformation Evaluation of complexity reduction Discretization complexity Computational load of the HOSVD Computational load of the tensor product Numerical examples A simple example A more complex example Convex TP model forms of Linear Parameter-varying Models Convex TP model Different types of convex TP models Computation of different convex TP models Methods for SN, NN and NO type matrices Inverse, relaxed and normalized convex TP models (lNO, RNO) The TORA benchmark example Approximation and complexity trade-off by the TP model transformation Approximation theory framework No-where denseness Examples Part II: Control Design Examples TP model transformation based design Linear Matrix Inequality in system control design Parallel Distributed Compensation based control design framework Immediate link between the TP models and the PDC design framework TP model transformation based control design methodology Application to 2-D prototypical aeroelastic wing section with structural nonlinearity Introduction to the prototypical aeroelastic wing section Finite element convex TP model of the prototypical aeroelastic wing section State-feedback control design Observer based output-feedback control design Application to 3 DOF helicopter with four propellers Nomenclature Equations of Motion of the RC Helicopter Dynamics Finite element convex TP model of the -3-DOF RC helicopter Control design of the3-DOF RC helicopter Control results Application to Parallel Double Inverted Pendulum Nomenclature Equations of Motion of the RC Helicopter Dynamics Finite element convex TP model of the PDIP Control design of the PDIP Control results
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 2014
• Copyright Date: 2014
• Extent: 1 online resource (xiii, 248 pages), illustrations
• Subjects: 629.8/95630151563; Intelligent control systems -- Mathematical models; Automatic control -- Mathematics; Tensor products; Intelligent control systems -- Mathematical models; Automatic control -- Mathematics; Tensor products; Intelligent control systems / Mathematical models; Automatic control / Mathematics; Tensor products; Electronic books
• Languages: English
• ISBNs: 9781439818176; 1439818177; 1439818169; 9781439818169
• Related ISBNs: 9781439818169
• Notes: Note: Includes bibliographical references (pages 217-228) and index.; Note: Print version record.
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