LEADER 05565nam 22008535 450 001 9910299965603321 005 20220329222331.0 010 $a1-4939-0292-X 024 7 $a10.1007/978-1-4939-0292-7 035 $a(CKB)3710000000089079 035 $a(SSID)ssj0001152086 035 $a(PQKBManifestationID)11702641 035 $a(PQKBTitleCode)TC0001152086 035 $a(PQKBWorkID)11144142 035 $a(PQKB)10693844 035 $a(MiAaPQ)EBC1698490 035 $a(DE-He213)978-1-4939-0292-7 035 $a(PPN)176750401 035 $a(EXLCZ)993710000000089079 100 $a20140220d2014 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAdvanced H? control $etowards nonsmooth theory and applications /$fby Yury V. Orlov, Luis T. Aguilar 205 $a1st ed. 2014. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (222 pages) 225 1 $aSystems & Control: Foundations & Applications,$x2324-9749 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-4939-0291-1 320 $aIncludes bibliographical references and index. 327 $aPart 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. 330 $aThis compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H? approach in the nonsmooth setting. Similar to the standard nonlinear H? approach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly bounded with respect to the worst-case size of an external disturbance signal. This guarantee is achieved by constructing an energy or storage function that satisfies the dissipativity inequality and is then utilized as a Lyapunov function to ensure the internal stability requirements.    Advanced H? Control is unique in the literature for its treatment of disturbance attenuation in nonsmooth systems. It synthesizes various tools, including Hamilton?Jacobi?Isaacs partial differential inequalities as well as Linear Matrix Inequalities. Along with the finite-dimensional treatment, the synthesis is extended to infinite-dimensional setting, involving time-delay and distributed parameter systems. To help illustrate this synthesis, the book focuses on electromechanical applications with nonsmooth phenomena caused by dry friction, backlash, and sampled-data measurements. Special attention is devoted to implementation issues.    Requiring familiarity with nonlinear systems theory, this book wi ll be accessible to graduate students interested in systems analysis and design, and is a welcome addition to the literature for researchers and practitioners in these areas. 410 0$aSystems & Control: Foundations & Applications,$x2324-9749 606 $aSystem theory 606 $aVibration 606 $aDynamics 606 $aDynamics 606 $aErgodic theory 606 $aDifferential equations, Partial 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aSystem theory. 615 0$aVibration. 615 0$aDynamics. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aDifferential equations, Partial. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aSystems Theory, Control. 615 24$aVibration, Dynamical Systems, Control. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aPartial Differential Equations. 615 24$aMathematical and Computational Engineering. 615 24$aApplications of Mathematics. 676 $a629.8312 700 $aOrlov$b Yury V$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721701 702 $aAguilar$b Luis T$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299965603321 996 $aAdvanced H? Control$92495547 997 $aUNINA