A Novel, Robust Control Methodology Application to Nuclear Reactors

Abstract Several analytical model reduction techniques have been proposed in the literature over the past few decades. We introduce the application of the Schur model reduction method to design a reduced-order, robust controller for the Egyptian Second Testing Research Reactor (ETRR-2). The linear matrix inequality approach is used to design a robust, low-order H∞ state feedback control system and a robust H∞ observer-based controller to control the reactor power. A comparison between the proposed controllers and the actually used conventional proportional-plus-derivative controller is presented based on the simulation of the full-order nonlinear model. Results show the effectiveness of H∞ observer-based state feedback for control of the reactor power at different operation conditions and that it guarantees the system stability.

[1]  Zhe Dong,et al.  Dynamic model for control system design and simulation of a low temperature nuclear reactor , 2009 .

[2]  Serkan Gugercin,et al.  Model reduction of large-scale systems by least squares , 2006 .

[3]  Tatjana Stykel,et al.  Balanced truncation model reduction for semidiscretized Stokes equation , 2006 .

[4]  M. Morari,et al.  Robust control of linear time-varying systems with constraints , 1994 .

[5]  R. Braatz,et al.  A tutorial on linear and bilinear matrix inequalities , 2000 .

[6]  El Kebir Boukas,et al.  Static output feedback control for stochastic hybrid systems: LMI approach , 2006, Autom..

[7]  G. Espinosa-Paredes,et al.  Simplified distributed parameters BWR dynamic model for transient and stability analysis , 2006 .

[8]  Edoardo Mosca,et al.  Robust H2 and Hinfinity filtering for uncertain linear systems , 2006, Autom..

[9]  Chuanqing Gu,et al.  Model reduction for large-scale dynamical systems via equality constrained least squares , 2010, J. Comput. Appl. Math..

[10]  Guido Herrmann,et al.  Robust control applications , 2007, Annu. Rev. Control..

[11]  Kinetics of a point reactor in the presence of reactivity oscillations , 2006 .

[12]  Thilo Penzl Algorithms for model reduction of large dynamical systems , 2006 .

[13]  Daniel Boley,et al.  Numerical Methods for Linear Control Systems , 1994 .

[14]  Baolin Wu,et al.  Multi-objective output-feedback control for microsatellite attitude control: An LMI approach , 2009 .

[15]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[16]  Enrique S. Quintana-Ortí,et al.  State-space truncation methods for parallel model reduction of large-scale systems , 2003, Parallel Comput..

[17]  Cyrus Aghanajafi,et al.  Design, construction and simulation of a multipurpose system for precision movement of control rods in nuclear reactors , 2010 .

[18]  Elbert Hendricks,et al.  Linear Control System Design , 2009 .