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TP-Model Transformation-Based-Control Design Frameworks

  • Book
  • © 2016

Overview

Authors:
  1. Péter Baranyi

    1. Technology and Economics, Szecheny Istvan University, Budapest, Hungary

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  • 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
  • Includes supplementary material: sn.pub/extras

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xxvi
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  2. Generalized TP Model Transformation

    1. Front Matter

      Pages 1-1
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    2. Basic Concepts

      • Péter Baranyi
      Pages 3-10

    3. Algorithms of the TP Model Transformation

      • Péter Baranyi
      Pages 11-62

  3. TP Model Transformation Based Control Design and Optimalization Frameworks

    1. Front Matter

      Pages 63-63
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    2. TP Model Transformation is a Gateway Between Identification and Design

      • Péter Baranyi
      Pages 65-67

    3. TP Model Transformation Based Control Design Structure

      • Péter Baranyi
      Pages 69-71

    4. General Stability Verification and Control Design

      • Péter Baranyi
      Pages 73-86

    5. TPI Model Transformation for the Class of Non-qLPV Models

      • Péter Baranyi
      Pages 87-89

    6. TPτ Model Transformation for Systems Including Time Delay

      • Péter Baranyi
      Pages 91-93

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

    1. Front Matter

      Pages 95-96
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    2. qLPV Model of the 3DoF Prototypical Aeroelastic Wing Section

      • Péter Baranyi
      Pages 97-101

    3. TP Model Based Control Design

      • Péter Baranyi
      Pages 103-115

    4. Convex Hull Manipulation Based Optimization

      • Péter Baranyi
      Pages 117-129

    5. Complexity Manipulation Based Optimization

      • Péter Baranyi
      Pages 131-144

    6. TP Model Manipulation Influences the Control Performance and the Feasibility of LMI Based Design

      • Péter Baranyi
      Pages 145-160

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

    1. Front Matter

      Pages 161-163
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    2. qLPV Model of the Dual Excenter Vibration System

      • Péter Baranyi
      Pages 165-170

    3. Convex TP Model of the Dual Excenter Vibration System

      • Péter Baranyi
      Pages 171-178

    4. Derivation of the Controller

      • Péter Baranyi
      Pages 179-184
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Keywords

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.

Authors and Affiliations

  • Technology and Economics, Szecheny Istvan University, Budapest, Hungary

    Péter Baranyi

Bibliographic Information

  • Book Title: TP-Model Transformation-Based-Control Design Frameworks

  • Authors: Péter Baranyi

  • DOI: https://doi.org/10.1007/978-3-319-19605-3

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-19604-6Published: 09 May 2016

  • Softcover ISBN: 978-3-319-79281-1Published: 26 May 2018

  • eBook ISBN: 978-3-319-19605-3Published: 28 April 2016

  • Edition Number: 1

  • Number of Pages: XXVI, 230

  • Number of Illustrations: 68 b/w illustrations, 52 illustrations in colour

  • Topics: Control and Systems Theory

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