Modelling and Control of a Pressurized Water Reactor Using μ-Synthesis Techniques

Abstract Controllers for a Pressurized Water Reactor (PWR) of a nuclear power plant are designed using μ-synthesis techniques. The reactivity of the fuel is modelled as slowly time-varying uncertainty, and the objective is to maintain performance over the entire lifetime of the fuel. Models for the PWR are identified using a realistic nonlinear simulator; to simplify these models, a systematic model reduction method for uncertain systems is used. The controller designed using μ-synthesis on the reduced model compares favorably to previous control designs for the PWR.

[1]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[2]  D. Hinrichsen,et al.  An improved error estimate for reduced-order models of discrete-time systems , 1990 .

[3]  K. Glover.  All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[4]  P. Bendotti,et al.  Identification and H/sub /spl infin// control design for a pressurized water reactor , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[5]  Carolyn L. Beck.  Model reduction and minimality for uncertain systems , 1997 .

[6]  Kameshwar Poolla,et al.  Robust performance against slowly-varying structured perturbations , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[7]  Carolyn L. Beck,et al.  Model reduction of multidimensional and uncertain systems , 1994, IEEE Trans. Autom. Control..

[8]  P. Bendotti,et al.  Optimal linear parameter-varying control design for a pressurized water reactor , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[9]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[10]  B. Moore.  Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[11]  B. Anderson,et al.  Model reduction for control system design , 1984 .

[12]  Andrew Packard,et al.  The complex structured singular value , 1993, Autom..