000 04712nam a22004695i 4500
001 978-0-8176-4877-0
003 DE-He213
005 20251006084439.0
007 cr nn 008mamaa
008 100301s2009 xxu| s |||| 0|eng d
020 _a9780817648770
020 _a99780817648770
024 7 _a10.1007/978-0-8176-4877-0
_2doi
082 0 4 _a519
_223
100 1 _aKrstic, Miroslav.
_eauthor.
245 1 0 _aDelay Compensation for Nonlinear, Adaptive, and PDE Systems
_h[electronic resource] /
_cby Miroslav Krstic.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2009.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSystems & Control: Foundations & Applications
505 0 _aLinear Delay-ODE Cascades -- Basic Predictor Feedback -- Predictor Observers -- Inverse Optimal Redesign -- Robustness to Delay Mismatch -- Time-Varying Delay -- Adaptive Control -- Delay-Adaptive Full-State Predictor Feedback -- Delay-Adaptive Predictor with Estimation of Actuator State -- Trajectory Tracking Under Unknown Delay and ODE Parameters -- Nonlinear Systems -- Nonlinear Predictor Feedback -- Forward-Complete Systems -- Strict-Feedforward Systems -- Linearizable Strict-Feedforward Systems -- PDE-ODE Cascades -- ODEs with General Transport-Like Actuator Dynamics -- ODEs with Heat PDE Actuator Dynamics -- ODEs with Wave PDE Actuator Dynamics -- Observers for ODEs Involving PDE Sensor and Actuator Dynamics -- Delay-PDE and PDE-PDE Cascades -- Unstable Reaction-Diffusion PDE with Input Delay -- Antistable Wave PDE with Input Delay -- Other PDE-PDE Cascades.
520 _aSome of the most common dynamic phenomena that arise in engineering practice-actuator and sensor delays-fall outside the scope of standard finite-dimensional system theory. The first attempt at infinite-dimensional feedback design in the field of control systems-the Smith predictor-has remained limited to linear finite-dimensional plants over the last five decades. Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems. The book is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay. Specific features and topics include: * A construction of explicit Lyapunov functionals, which can be used in control design or stability analysis, leading to a resolution of several long-standing problems in predictor feedback. * A detailed treatment of individual classes of problems-nonlinear ODEs, parabolic PDEs, first-order hyperbolic PDEs, second-order hyperbolic PDEs, known time-varying delays, unknown constant delays-will help the reader master the techniques presented. * Numerous examples ease a student new to delay systems into the topic. * Minimal prerequisites: the basics of function spaces and Lyapunov theory for ODEs. * The basics of Poincaré and Agmon inequalities, Lyapunov and input-to-state stability, parameter projection for adaptive control, and Bessel functions are summarized in appendices for the reader's convenience. Delay Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent reference for graduate students, researchers, and practitioners in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering. Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems.
650 0 _aMATHEMATICS.
650 0 _aDIFFERENTIAL EQUATIONS.
650 0 _aDIFFERENTIAL EQUATIONS, PARTIAL.
650 0 _aSYSTEMS THEORY.
650 1 4 _aMATHEMATICS.
650 2 4 _aSYSTEMS THEORY, CONTROL.
650 2 4 _aPARTIAL DIFFERENTIAL EQUATIONS.
650 2 4 _aORDINARY DIFFERENTIAL EQUATIONS.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817648763
830 0 _aSystems & Control: Foundations & Applications
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4877-0
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59809
_d59809