Advanced H∞ Control: Towards Nonsmooth Theory and Applications 2014 Edition Contributor(s): Orlov, Yury V. (Author), Aguilar, Luis T. (Author) |
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ISBN: 1493902911 ISBN-13: 9781493902910 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: February 2014 |
Additional Information |
BISAC Categories: - Science | System Theory - Technology & Engineering | Mechanical - Mathematics | Mathematical Analysis |
Dewey: 629.831 |
LCCN: 2014931236 |
Series: Systems & Control: Foundations & Applications |
Physical Information: 0.8" H x 6.3" W x 9.2" (1.30 lbs) 218 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |