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Extremum-Seeking Control and Applications

A Numerical Optimization-Based Approach

  • Book
  • © 2012

Overview

Authors:
  1. Chunlei Zhang

    1. Applied Materials, Inc., Sunnyvale, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Raúl Ordóñez

    1. Dept. Electrical & Computer Engineering, University of Dayton, Dayton, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Provides the reader with a new and more robust method of control for reducing plant downtime and time-consuming system analysis
  • Presents several applications of extremum-seeking control demonstrating its practical appeal in diverse circumstances
  • Provision of MATLAB®/Simulink® code gives readers a head start for implementing the algorithms descrived in their own applications
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advances in Industrial Control (AIC)

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-XVIII
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  2. Theory

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Chunlei Zhang, Raúl Ordóñez
      Pages 3-29

    3. Numerical Optimization

      • Chunlei Zhang, Raúl Ordóñez
      Pages 31-45

    4. Design of Extremum Seeking Control

      • Chunlei Zhang, Raúl Ordóñez
      Pages 47-66

    5. Finite Time State Regulator Design

      • Chunlei Zhang, Raúl Ordóñez
      Pages 67-87

    6. Asymptotic State Regulator Design

      • Chunlei Zhang, Raúl Ordóñez
      Pages 89-117

  3. Applications

    1. Front Matter

      Pages 119-119
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    2. Antilock Braking Systems

      • Chunlei Zhang, Raúl Ordóñez
      Pages 121-131

    3. Impedance Matching in Semiconductor Plasma Processing Chamber

      • Chunlei Zhang, Raúl Ordóñez
      Pages 133-153

    4. Swarm Tracking

      • Chunlei Zhang, Raúl Ordóñez
      Pages 155-197

  4. Back Matter

    Pages 199-203
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About this book

Extremum-seeking control tracks a varying maximum or minimum in a performance function such as output or cost. It attempts to determine the optimal performance of a control system as it operates, thereby reducing downtime and the need for system analysis. Extremum-seeking Control and Applications is divided into two parts. In the first, the authors review existing analog-optimization-based extremum-seeking control including gradient-, perturbation- and sliding-mode-based control designs. They then propose a novel numerical-optimization-based extremum-seeking control based on optimization algorithms and state regulation. This control design is developed for simple linear time-invariant systems and then extended for a class of feedback linearizable nonlinear systems. The two main optimization algorithms – line search and trust region methods – are analyzed for robustness. Finite-time and asymptotic state regulators are put forward for linear and nonlinear systems respectively. Further design flexibility is achieved using the robustness results of the optimization algorithms and the asymptotic state regulator by which existing nonlinear adaptive control techniques can be introduced for robust design. The approach used is easier to implement and tends to be more robust than those that use perturbation-based extremum-seeking control. The second part of the book deals with a variety of applications of extremum-seeking control: a comparative study of extremum-seeking control schemes in antilock braking system design; source seeking, formation control, collision and obstacle avoidance for groups of autonomous agents; mobile radar networks; and impedance matching. MATLAB®/Simulink® code which can be downloaded from www.springer.com/ISBN helps readers to reproduce the results presented in the text and gives them a head start for implementing the algorithms in their own applications. Extremum-seeking Control and Applications will interest academics and graduate studentsworking in control, and industrial practitioners from a variety of backgrounds: systems, automotive, aerospace, communications, semiconductor and chemical engineering.

Reviews

From the reviews:

“The monograph is divided into two parts. In the first, the authors review existing analog-optimization-based ESC … . The second part of the book deals with applications of ESC … . The book will be of benefit to graduate students persuing their degrees in applied and industrial mathematics, as well as to researchers and engineers who may encounter optimal control methods in their work.” (Mikhail Yu Kokurin, Zentralblatt MATH, Vol. 1255, 2013)

Authors and Affiliations

  • Applied Materials, Inc., Sunnyvale, USA

    Chunlei Zhang

  • Dept. Electrical & Computer Engineering, University of Dayton, Dayton, USA

    Raúl Ordóñez

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