000			04822nam a22005415i 4500
001			978-0-8176-4699-8
003			DE-He213
005			20251006084438.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780817646998
020			_a99780817646998
024	7		_a10.1007/978-0-8176-4699-8 _2doi
082	0	4	_a519 _223
100	1		_aVazquez, Rafael. _eauthor.
245	1	0	_aControl of Turbulent and Magnetohydrodynamic Channel Flows _h[electronic resource] : _bBoundary Stabilization and State Estimation / _cby Rafael Vazquez, Miroslav Krstic.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2008.
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		_aThermal-Fluid Convection Loop: Boundary Stabilization -- Thermal-Fluid Convection Loop: Boundary Estimation and Output-Feedback Stabilization -- 2D Navier-Stokes Channel Flow: Boundary Stabilization -- 2D Navier-Stokes Channel Flow: Boundary Estimation -- 3D Magnetohydrodynamic Channel Flow: Boundary Stabilization -- 3D Magnetohydrodynamic Channel Flow: Boundary Estimation -- 2D Navier-Stokes Channel Flow: Stable Flow Transfer -- Open Problems.
520			_aThis monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weather forecasting, and plasma control. The basis of the approach used in the work is the recently developed continuous backstepping method for parabolic partial differential equations, expanding the applicability of boundary controllers for flow systems from low Reynolds numbers to high Reynolds number conditions. Efforts in flow control over the last few years have led to a wide range of developments in many different directions, but most implementable developments thus far have been obtained using discretized versions of the plant models and finite-dimensional control techniques. In contrast, the design methods examined in this book are based on the "continuum" version of the backstepping approach, applied to the PDE model of the flow. The postponement of spatial discretization until the implementation stage offers a range of numerical and analytical advantages. Specific topics and features: * Introduction of control and state estimation designs for flows that include thermal convection and electric conductivity, namely, flows where instability may be driven by thermal gradients and external magnetic fields. * Application of a special "backstepping" approach where the boundary control design is combined with a particular Volterra transformation of the flow variables, which yields not only the stabilization of the flow, but also the explicit solvability of the closed-loop system. * Presentation of a result unprecedented in fluid dynamics and in the analysis of Navier-Stokes equations: closed-form expressions for the solutions of linearized Navier-Stokes equations under feedback. * Extension of the backstepping approach to eliminate one of the well-recognized root causes of transition to turbulence: the decoupling of the Orr-Sommerfeld and Squire systems. Control of Turbulent and Magnetohydrodynamic Channel Flows is an excellent reference for a broad, interdisciplinary engineering and mathematics audience: control theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electrical engineers, applied mathematicians, as well as research and graduate students in the above areas. The book may also be used as a supplementary text for graduate courses on control of distributed-parameter systems and on flow control.
650		0	_aMATHEMATICS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aSYSTEMS THEORY.
650		0	_aFLUIDS.
650		0	_aHYDRAULIC ENGINEERING.
650		0	_aMECHANICAL ENGINEERING.
650	1	4	_aMATHEMATICS.
650	2	4	_aSYSTEMS THEORY, CONTROL.
650	2	4	_aENGINEERING FLUID DYNAMICS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aMECHANICAL ENGINEERING.
650	2	4	_aENGINEERING THERMODYNAMICS, TRANSPORT PHENOMENA.
650	2	4	_aFLUIDS.
700	1		_aKrstic, Miroslav. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817646981
830		0	_aSystems&Control: Foundations&Applications
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4699-8 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59763 _d59763