© 2016

TP-Model Transformation-Based-Control Design Frameworks

  • Demonstrates how to formulate problems according to the TP modeling framework

  • Presents the main steps in polytopic and LMI based control design: development of the qLPV state-space model; generation of the polytopic model; and application of LMI to derive controller and observer

  • Provides automatically executable MATLAB implementations and recently emerging complex examples for engineers or for those who are not dealing with theoretical control derivations but would instead like to design systems


Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Generalized TP Model Transformation

    1. Front Matter
      Pages 1-1
    2. Péter Baranyi
      Pages 3-10
    3. Péter Baranyi
      Pages 11-62
  3. TP Model Transformation Based Control Design and Optimalization Frameworks

  4. Analysis of the TP Model Based Design Frameworks via a Complex Example

  5. TP Model Based Control Design of the Dual-Excenter Vibration Actuator

    1. Front Matter
      Pages 161-163
    2. Péter Baranyi
      Pages 179-184

About this book


This book covers new aspects and frameworks of control, design, and optimization based on the TP model transformation and its various extensions. The author outlines the three main steps of polytopic and LMI based control design: 1) development of the qLPV state-space model, 2) generation of the polytopic model; and 3) application of LMI to derive controller and observer. He goes on to describe why literature has extensively studied LMI design, but has not focused much on the second step, in part because the generation and manipulation of the polytopic form was not tractable in many cases. The author then shows how the TP model transformation facilitates this second step and hence reveals new directions, leading to powerful design procedures and the formulation of new questions. The chapters of this book, and the complex dynamical control tasks which they cover, are organized so as to present and analyze the beneficial aspect of the family of approaches (control, design, and optimization). Additionally, the book aims to convey simple TP modeling; a new convex hull manipulation based possibilities for optimization; a general framework for stability analysis; standardized modeling and system description; relaxed and universal LMI based design framework; and a gateway to time-delayed systems.


LMI based Control Design LMI based Optimization LMI-based Design Polytopic Modeling TP Model Transformation Tensor Product Model Transformation qLPV State-space Modeling

Authors and affiliations

  1. 1.Technology and EconomicsSzecheny Istvan UniversityBudapestHungary

Bibliographic information

  • Book Title TP-Model Transformation-Based-Control Design Frameworks
  • Authors Péter Baranyi
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-319-19604-6
  • Softcover ISBN 978-3-319-79281-1
  • eBook ISBN 978-3-319-19605-3
  • Edition Number 1
  • Number of Pages XXVI, 230
  • Number of Illustrations 68 b/w illustrations, 52 illustrations in colour
  • Topics Control and Systems Theory
  • Buy this book on publisher's site
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