/LC.GIF&client=easterncarolinaedu)
Advanced H [infinity] control towards nonsmooth theory and applications / Yury V. Orlov, Luis T. Aguilar.
| Author/creator | Orlov, I͡U. V. |
| Other author | Aguilar, Luis T. |
| Format | Electronic |
| Publication Info | New York : Birkhauser, Springer, [2014] |
| Description | xi, 218 pages : illustrations ; 24 cm. |
| Supplemental Content | Full text available from Springer Books |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2014 English International |
| Subjects |
| Series | Systems & Control: Foundations & Applications Systems & control. ^A254905 |
| Contents | 1. Linear H [infinity] control of autonomous systems -- 2. The LMI approach in an infinite-dimensional setting -- 3. Linear H [infinity] control of time-varying systems -- 4. Nonlinear H [infinity] control -- 5. Elements of nonsmooth analysis -- 6. Synthesis of nonsmooth systems -- 7. LMI-based H [infinity]-boundary control of nonsmooth parabolic and hyperbolic systems -- 8. Advanced H [infinity] synthesis of fully actuated robot manipulators with frictional joints -- 9. Nonsmooth H [infinity] synthesis in the presence of backlash -- 10. H [infinity] generation of periodic motion of mechanical systems of one degree of underactuation -- 11. LMI-based H [infinity] synthesis of the current profile in tokamak plasmas. |
| Summary | This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H[infinity] approach in the nonsmooth setting. Similar to the standard nonlinear H[infinity] 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[infinity] 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 graduate students interested in systems analysis and design, and is a welcome addition to the literature for researchers and practitioners in these areas.-- Source other than the Library of Congress. |
| Bibliography note | Includes bibliographical references (pages 211-216) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2014931236 |
| ISBN | 9781493902910 (hbk : acid-free paper) |
| ISBN | 1493902911 (hbk : acid-free paper) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |