Extremum-Seeking Control and Applications

A Numerical Optimization-Based Approach

  • Chunlei Zhang
  • Raúl Ordóñez

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

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Theory

    1. Front Matter
      Pages 1-1
    2. Chunlei Zhang, Raúl Ordóñez
      Pages 3-29
    3. Chunlei Zhang, Raúl Ordóñez
      Pages 31-45
    4. Chunlei Zhang, Raúl Ordóñez
      Pages 47-66
    5. Chunlei Zhang, Raúl Ordóñez
      Pages 67-87
    6. Chunlei Zhang, Raúl Ordóñez
      Pages 89-117
  3. Applications

    1. Front Matter
      Pages 119-119
    2. Chunlei Zhang, Raúl Ordóñez
      Pages 121-131
    3. Chunlei Zhang, Raúl Ordóñez
      Pages 133-153
    4. Chunlei Zhang, Raúl Ordóñez
      Pages 155-197
  4. Back Matter
    Pages 199-203

About this book


Extremum seeking control tracks a varying maximum or minimum in a performance function such as a 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 than those that use perturbation based extremum seeking control, and tends to display a high level of robustness.

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;

·         impedance matching;

·         source seeking, formation control, collision and obstacle avoidance for groups of autonomous agents; and

·         mobile radar networks.

Extremum Seeking Control and Applications will interest academics and graduate students working in control, and industrial practitioners from a variety of backgrounds: systems, automotive, aerospace, communications, semiconductor and chemical engineering.

Authors and affiliations

  • Chunlei Zhang
    • 1
  • Raúl Ordóñez
    • 2
  1. 1.Applied Materials, Inc.SunnyvaleUSA
  2. 2.Dept. Electrical & Computer EngineeringUniversity of DaytonDaytonUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag London Limited 2012
  • Publisher Name Springer, London
  • eBook Packages Engineering
  • Print ISBN 978-1-4471-2223-4
  • Online ISBN 978-1-4471-2224-1
  • Series Print ISSN 1430-9491
  • Series Online ISSN 2193-1577
  • Buy this book on publisher's site