Title :
Bootstrap current optimization in Tokamaks using sum-of-squares polynomials
Author :
Gahlawat, A. ; Witrant, Emmanuel ; Peet, Matthew M. ; Alamir, Mazen
Author_Institution :
Grenoble Image Parole Signal Autom. (GIPSA-Lab.), UJF, St. Martin d´Héres, France
Abstract :
In this paper we present a Lyapunov based feedback design strategy, by employing the sum-of-squares polynomials framework, to maximize the bootstrap current in tokamaks. The bootstrap current may play an important role in reducing the external energy input required for tokamak operation. The sum-of-squares polynomials framework allows us to algorithmically construct controllers. Additionally, we provide a heuristic to take into account the control input shape constraints which arise due to limitations on the actuators.
Keywords :
Lyapunov methods; Tokamak devices; control system synthesis; feedback; optimisation; physical instrumentation control; polynomials; Lyapunov-based feedback design strategy; Tokamaks; actuators; bootstrap current maximization; bootstrap current optimization; control input shape constraints; controllers; external energy input reduction; sum-of-squares polynomials framework; Conductivity; Current density; Mathematical model; Polynomials; Shape; Tokamaks;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426638