LEADER 03948oam 2200457 450 001 9910299480503321 005 20190911112725.0 010 $a3-319-01958-9 024 7 $a10.1007/978-3-319-01958-1 035 $a(OCoLC)863235086 035 $a(MiFhGG)GVRL6XYY 035 $a(EXLCZ)993710000000058110 100 $a20130905d2014 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aSafety factor profile control in a tokamak /$fFederico Bribiesca Argomedo, Emmanuel Witrant, Christophe Prieur 205 $a1st ed. 2014. 210 1$aCham, Switzerland :$cSpringer,$d2014. 215 $a1 online resource (xi, 96 pages) $cillustrations (some color) 225 1 $aSpringerBriefs in Control, Automation and Robotics,$x2192-6786 300 $a"ISSN: 2192-6786." 311 $a3-319-01957-0 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Mathematical model of the safety factor and control problem formulation -- A polytopic LPV approach for finite-dimensional control -- Infinite-dimensional Control -- Lyapunov Function -- Controller implementation. 330 $aControl of the Safety Factor Profile in a Tokamak uses Lyapunov techniques to address a challenging problem for which even the simplest physically relevant models are represented by nonlinear, time-dependent, partial differential equations (PDEs). This is because of the  spatiotemporal dynamics of transport phenomena (magnetic flux, heat, densities, etc.) in the anisotropic plasma medium. Robustness considerations are ubiquitous in the analysis and control design since direct measurements on the magnetic flux are impossible (its estimation relies on virtual sensors) and large uncertainties remain in the coupling between the plasma particles and the radio-frequency waves (distributed inputs). The Brief begins with a presentation of the reference dynamical model and continues by developing a Lyapunov function for the discretized system (in a polytopic linear-parameter-varying formulation). The limitations of this finite-dimensional approach motivate new developments in the infinite-dimensional framework. The text then tackles the construction of an input-to-state-stabilityLyapunov function for the infinite-dimensional system that handles the medium anisotropy and provides a common basis for analytical robustness results. This function is used as a control-Lyapunov function and allows the amplitude and nonlinear shape constraints in the control action to be dealt with. Finally, the Brief addresses important application- and implementation-specific concerns. In particular, the coupling of the PDE and the finite-dimensional subsystem representing the evolution of the boundary condition (magnetic coils) and the introduction of profile-reconstruction delays in the control loop (induced by solving a 2-D inverse problem for computing the magnetic flux) is analyzed. Simulation results are presented for various operation scenarios on Tore Supra (simulated with METIS) and on TCV (simulated with RAPTOR). Control of the Safety Factor Profile in a Tokamak will be of interest to both academic and industrially-based researchers interested in nuclear energy and plasma-containment control systems, and graduate students in nuclear and control engineering.      . 410 0$aSpringerBriefs in electrical and computer engineering.$pControl, automation and robotics. 606 $aTokamaks$xSafety measures 615 0$aTokamaks$xSafety measures. 676 $a629.8312 700 $aBribiesca Argomedo$b Federico$4aut$4http://id.loc.gov/vocabulary/relators/aut$0873963 702 $aWitrant$b Emmanuel 702 $aPrieur$b Christophe 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910299480503321 996 $aSafety Factor Profile Control in a Tokamak$91951223 997 $aUNINA