Systems & Control: Foundations & Applications

Advanced H∞ Control

Towards Nonsmooth Theory and Applications

Authors: Orlov, Yury V, Aguilar, Luis T.

  • ​​Provides a unique treatment of disturbance attenuation in nonsmooth systems
  • Combines the most popular robust control models (H-infinity, backstepping, and sliding mode)
  • Contains electromechanical applications with underactuation and complex phenomena
  • Rigorous theoretical development supported by experimental results
see more benefits

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-1-4939-0292-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4939-0291-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4939-4442-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H approach in the nonsmooth setting. Similar to the standard nonlinear Happroach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly bounded with respect to the worst-case size of an external disturbance signal. This guarantee is achieved by constructing an energy or storage function that satisfies the dissipativity inequality and is then utilized as a Lyapunov function to ensure the internal stability requirements.

Advanced H Control is unique in the literature for its treatment of disturbance attenuation in nonsmooth systems. It synthesizes various tools, including Hamilton–Jacobi–Isaacs partial differential inequalities as well as Linear Matrix Inequalities. Along with the finite-dimensional treatment, the synthesis is extended to infinite-dimensional setting, involving time-delay and distributed parameter systems. To help illustrate this synthesis, the book focuses on electromechanical applications with nonsmooth phenomena caused by dry friction, backlash, and sampled-data measurements. Special attention is devoted to implementation issues.

Requiring familiarity with nonlinear systems theory, this book will be accessible to g

raduate students interested in systems analysis and design, and is a welcome addition to the literature for researchers and practitioners in these areas.

Reviews

“The present book is a research monograph. … it is self-contained, and so the reader who takes the effort to study the book in detail, learns how to design robust controllers for a very general class of systems, such as those described by nonsmooth nonlinear models and those described by partial differential equations.” (Hans Zwart, zbMATH 1328.93005, 2016)

“This monograph addresses the Hcontrol problem for a wide class of systems described by ‘finite-/infinite-dimensional, linear/nonlinear, time-invariant/-varying, without/with delay’ equations. … The proposed method allows one to develop powerful algorithms for the Hdesign of nonsmooth systems.” (Hideki Sano, Mathematical Reviews, June, 2015)


Table of contents (11 chapters)

  • Linear $$\mathcal{H}_{\infty }$$ Control of Autonomous Systems

    Orlov, Yury V. (et al.)

    Pages 5-21

  • The LMI Approach in an Infinite-Dimensional Setting

    Orlov, Yury V. (et al.)

    Pages 23-41

  • Linear $$\mathcal{H}_{\infty }$$ Control of Time-Varying Systems

    Orlov, Yury V. (et al.)

    Pages 43-53

  • Nonlinear $$\mathcal{H}_{\infty }$$ Control

    Orlov, Yury V. (et al.)

    Pages 55-63

  • Elements of Nonsmooth Analysis

    Orlov, Yury V. (et al.)

    Pages 67-80

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-1-4939-0292-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4939-0291-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4939-4442-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Advanced H∞ Control
Book Subtitle
Towards Nonsmooth Theory and Applications
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4939-0292-7
DOI
10.1007/978-1-4939-0292-7
Hardcover ISBN
978-1-4939-0291-0
Softcover ISBN
978-1-4939-4442-2
Series ISSN
2324-9749
Edition Number
1
Number of Pages
XI, 218
Number of Illustrations and Tables
31 b/w illustrations, 12 illustrations in colour
Topics