000 03930nam a22004695i 4500
001 978-3-642-30015-8
003 DE-He213
005 20200421111705.0
007 cr nn 008mamaa
008 120813s2013 gw | s |||| 0|eng d
020 _a9783642300158
_9978-3-642-30015-8
024 7 _a10.1007/978-3-642-30015-8
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aMeurer, Thomas.
_eauthor.
245 1 0 _aControl of Higher-Dimensional PDEs
_h[electronic resource] :
_bFlatness and Backstepping Designs /
_cby Thomas Meurer.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXX, 368 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCommunications and Control Engineering,
_x0178-5354
505 0 _aModel equations for multi-agent networks -- Model equations for flexible structures with piezoelectric actuation -- Mathematical problem formulation -- Spectral approach for time-invariant systems with general spatial domain -- Formal integration approach for time varying systems -- Backstepping for linear diffusion-convection-reaction systems with varying parameters on 1-dimensional domains -- Backstepping for linear diffusion-convection-reaction systems with varying parameters on parallelepiped domains.
520 _aThis monograph presents new model-based design methods for trajectory planning, feedback stabilization, state estimation, and tracking control of distributed-parameter systems governed by partial differential equations (PDEs). Flatness and backstepping techniques and their generalization to PDEs with higher-dimensional spatial domain lie at the core of this treatise. This includes the development of systematic late lumping design procedures and the deduction of semi-numerical approaches using suitable approximation methods. Theoretical developments are combined with both simulation examples and experimental results to bridge the gap between mathematical theory and control engineering practice in the rapidly evolving PDE control area. The text is divided into five parts featuring: - a literature survey of paradigms and control design methods for PDE systems - the first principle mathematical modeling of applications arising in heat and mass transfer, interconnected multi-agent systems, and piezo-actuated smart elastic structures - the generalization of flatness-based trajectory planning and feedforward control to parabolic and biharmonic PDE systems defined on general higher-dimensional domains - an extension of the backstepping approach to the feedback control and observer design for parabolic PDEs with parallelepiped domain and spatially and time varying parameters - the development of design techniques to realize exponentially stabilizing tracking control - the evaluation in simulations and experiments Control of Higher-Dimensional PDEs - Flatness and Backstepping Designs is an advanced research monograph for graduate students in applied mathematics, control theory, and related fields. The book may serve as a reference to recent developments for researchers and control engineers interested in the analysis and control of systems governed by PDEs.
650 0 _aEngineering.
650 0 _aSystem theory.
650 0 _aControl engineering.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aSystems Theory, Control.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642300141
830 0 _aCommunications and Control Engineering,
_x0178-5354
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-30015-8
912 _aZDB-2-ENG
942 _cEBK
999 _c55226
_d55226