1,721,155 research outputs found
ITER plasma current and shape control using MPC
In plasma magnetic control schemes, comprising a cascade control scheme with a plasma current and shape controller (CSC) in the outer loop and a vertical stabilisation (VS) controller in the inner loop, the main challenges are: the suppression of plasma shape transients after disturbances specific to tokamak reactors; the robustness to changes of the local dynamics; using the available chamber volume in the best possible way, so that the plasma is placed as close as possible to the plasma facing components; and tight control near power supply and gap constraints. Model predictive control (MPC) is an advanced process control approach for dealing with constraints, already established in a range of industries involving multivariable processes with slower dynamics. In this work we present an MPC controller for the ITER CSC in order to assess the feasibility of its practical implementation, and a performance evaluation in comparison to a CSC based on singular perturbation decomposition (SPD)
Input–output finite-time stabilization of impulsive linear systems: Necessary and sufficient conditions
The main result of this paper consists of a pair of necessary and sufficient conditions for the
input–output finite-time stability of impulsive linear systems. The former requires that an
optimization problem, constrained by a coupled differential/difference linear matrix inequality
(LMI), admits a feasible solution; the latter that the solution of a coupled differential/
difference Lyapunov equation satisfies a constraint on the maximum eigenvalue. The
first condition was already provided in Amato et al. (2011), where, however, only sufficiency
was proven. The novel analysis condition (i.e. the one requiring the solution of the
differential/difference Lyapunov equation) is shown to be more efficient from the computational
point of view, while the result based on the differential/difference LMI is the starting
point for the derivation of the design theorem. Some examples illustrate the benefits of the
proposed technique
Necessary and Sufficient Conditions for Finite-Time Stability of Impulsive Dynamical Linear Systems
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