Advanced H∞ Control

Towards Nonsmooth Theory and Applications

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Technology, Engineering, Mechanical, Reference & Language, Reference
Cover of the book Advanced H∞ Control by Luis T. Aguilar, Yury V. Orlov, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Luis T. Aguilar, Yury V. Orlov ISBN: 9781493902927
Publisher: Springer New York Publication: February 20, 2014
Imprint: Birkhäuser Language: English
Author: Luis T. Aguilar, Yury V. Orlov
ISBN: 9781493902927
Publisher: Springer New York
Publication: February 20, 2014
Imprint: Birkhäuser
Language: English

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 H**∞ approach, 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 H**∞ approach, 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.

More books from Springer New York

Cover of the book A Natural Experiment on Electoral Law Reform by Luis T. Aguilar, Yury V. Orlov
Cover of the book Mapping Crime in Its Community Setting by Luis T. Aguilar, Yury V. Orlov
Cover of the book Endocrinology and Diabetes by Luis T. Aguilar, Yury V. Orlov
Cover of the book Comparative Physiology of the Vertebrate Kidney by Luis T. Aguilar, Yury V. Orlov
Cover of the book Network Science and Cybersecurity by Luis T. Aguilar, Yury V. Orlov
Cover of the book Pediatric Development and Neonatology by Luis T. Aguilar, Yury V. Orlov
Cover of the book Cancer Associated Viruses by Luis T. Aguilar, Yury V. Orlov
Cover of the book Simulation for Policy Inquiry by Luis T. Aguilar, Yury V. Orlov
Cover of the book Topics in Experimental Dynamics Substructuring and Wind Turbine Dynamics, Volume 2 by Luis T. Aguilar, Yury V. Orlov
Cover of the book Elliptic Curves and Arithmetic Invariants by Luis T. Aguilar, Yury V. Orlov
Cover of the book Field Theoretic Method in Phase Transformations by Luis T. Aguilar, Yury V. Orlov
Cover of the book Introduction to Printed Electronics by Luis T. Aguilar, Yury V. Orlov
Cover of the book Surgical Innovations in Glaucoma by Luis T. Aguilar, Yury V. Orlov
Cover of the book Towards Learning and Instruction in Web 3.0 by Luis T. Aguilar, Yury V. Orlov
Cover of the book Exoplanets by Luis T. Aguilar, Yury V. Orlov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy