Title :
Global Exponential Stabilization of a Two-Dimensional Pool-Boiling Model
Author :
van Gils, R.W. ; Zwart, H.J. ; Speetjens, M.F.M. ; Nijmeijer, H.
Author_Institution :
Dynamics & Control group of the Dept. of Mech. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands
Abstract :
In this study, a nonlinear PDE pool-boiling model of two spatial components (2D) is considered. An output-based P-control law is applied to stabilise unstable equilibria of the system. Subsequently, the local and global stability of the closed-loop system are analyzed and the respective regions in parameter space where local and global exponential stability can be obtained are determined.
Keywords :
asymptotic stability; closed loop systems; nonlinear control systems; thermal variables control; closed-loop system; global exponential stabilization; global stability; local stability; nonlinear PDE pool-boiling model; output-based P-control law; spatial components; two-dimensional pool-boiling model; unstable system equilibria; Global exponential stability; Lyapunov analysis; PDE; nonlinear; pool-boiling;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2267398