Quadratic controller synthesis for the steam generator waterlevel

Abstract The steam generator water level, (SGWL), control problem in the pressurized water reactor of a nuclear power plant is considered from robust control techniques point of view. The plant is a time-varynig system with a non minimum phase behavior and an unstable open-loop response. The time-varying nature of the plant due to change in operating power is taken into account by including slowly time-varying uncertainty in the model. A Linear time-Invariant, (LTI) guaranteed cost quadratic stabilizing controller is designed in order to address some of the particular issues arising for such a control problem.

[1]  B. Barmish Necessary and sufficient conditions for quadratic stabilizability of an uncertain system , 1985 .

[2]  D. Peaucelle,et al.  Generalized uncertainty and quadratic stabilizability: an LMI approach , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[3]  J. Bernussou,et al.  Design of dynamic output feedback decentralized controllers via a separation procedure , 2000 .

[4]  Kenji Sugimoto,et al.  Quadratic stabilization of tracking systems with partial pole placement , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[5]  Denis Arzelier,et al.  Quadratic stabilizability and proper controllers , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[6]  J. Daafouz,et al.  Output feedback disk pole assignment for systems with positive real uncertainty , 1996, IEEE Trans. Autom. Control..

[7]  Pascale Bendotti,et al.  EDF benchmark for robust control techniques - evaluation of proposed solutions , 1999 .

[8]  Manfred Morari,et al.  µ-Analysis and H∞-Controller Synthesis for the Steam Generator Water Level , 1997 .

[9]  Denis Arzelier,et al.  An LMI Solution for Disk Pole Location with H2 Guaranteed Cost , 1995, Eur. J. Control.

[10]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[11]  P. Khargonekar,et al.  Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory , 1990 .

[12]  Mayuresh V. Kothare,et al.  Level control in the steam generator of a nuclear power plant , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[13]  P. Gahinet,et al.  A convex characterization of gain-scheduled H∞ controllers , 1995, IEEE Trans. Autom. Control..

[14]  I. Petersen A stabilization algorithm for a class of uncertain linear systems , 1987 .