Yury V Orlov, Luis T. Aguilar

Advanced H¿ Control

Towards Nonsmooth Theory and Applications

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Systems & Control: Foundations & Applications
• Verlag: Birkhäuser / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4939-4442-2
• Softcover reprint of the original 1st ed. 2014
• Seitenzahl: 232
• Erscheinungstermin: 23. August 2016
• Englisch
• Abmessung: 235mm x 155mm x 13mm
• Gewicht: 359g
• ISBN-13: 9781493944422
• ISBN-10: 1493944428
• Artikelnr.: 45470938

Inhaltsangabe

Part I Introduction.- 1 Linear H1 control of autonomous systems.- 2 LMI approach in infinite dimensional setting.- 3 Linear H1 control of time-varying systems.- 4 Nonlinear H1 control.- Part II Nonsmooth H1 Control.- 5 Elements of nonsmooth analysis.- 6 Synthesis of nonsmooth systems.- 7 LMI-based H1 boundary control of nonsmooth parabolic and hyperbolic systems.- Part III Benchmark Applications.- 8 Advanced H1 synthesis of fully actuated robot manipulators with frictional joints.- 9 Nonsmooth H1 synthesis in the presence of backlash.- 10 H1 generation of periodic motion.- 11 LMI-based H1 synthesis of the current profile in tokamak plasmas.- References.- Index.

Rezensionen

"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 H control 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 H design of nonsmooth systems." (Hideki Sano, Mathematical Reviews, June, 2015)