Advanced Control Tools and Methods [for nuclear powerplants]

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36] Vaughan, N. D. and J. B. Gamble, “The modeling and simulation of a proportional solenoid valve,” the ASME Winter Annual Meeting, Dallas, TX, November 1990. [37] Urs Cristen, Martin F. Weilenmann, and Hans P. Geering, “Design of H2 and H_infinity Controllers with Two Degrees of Freedom,” Proceedings of American Control Conference, pp. 2391-2395, Baltimore, MD, June 29- July 1, 1994. List Of Symbols and Abbreviations ARE Algebraic Ricatti Equation CLTI Continuous Linear Time Invariant DLTI Discrete Linear Time Invariant G (s) Plant transfer function H8 Hardy Space LQ Linear Quadratic LQG Linear Quadratic Gaussian LQR Linear Quadratic Regulator LTI Linear Time Invariant LTR Loop Transfer Recovery MIMO Multiple Input Multiple Output MISO Multiple Input Single Output N (·) Actuator or sensor nonlinearity NI (·) Actuator or sensor inverse nonlinearity ORNL Oak Ridge National Laboratory PID Proportional Integral Derivative SISO Single Input Single Output ¦ A¦ Norm of matrix A ¦ y¦ Norm of vector y 27 Attachment I.

2391-2395, Baltimore, MD, June 29- July 1, 1994. List Of Symbols and Abbreviations ARE Algebraic Ricatti Equation CLTI Continuous Linear Time Invariant DLTI Discrete Linear Time Invariant G (s) Plant transfer function H8 Hardy Space LQ Linear Quadratic LQG Linear Quadratic Gaussian LQR Linear Quadratic Regulator LTI Linear Time Invariant LTR Loop Transfer Recovery MIMO Multiple Input Multiple Output MISO Multiple Input Single Output N (·) Actuator or sensor nonlinearity NI (·) Actuator or sensor inverse nonlinearity ORNL Oak Ridge National Laboratory PID Proportional Integral Derivative SISO Single Input Single Output ¦ A¦ Norm of matrix A ¦ y¦ Norm of vector y 27 Attachment I.

The evaluation is used to generate an effective failure probability. The effective failure probability is compared to the failure probability generated by a cumulative Weibull function. The largest value is used in the entropy calculation to determine to most reliable control sections to use. 1 shows nine components that have been used to control the system for this example. The nine components are used to satisfy the control goals of the level control system. 2 provides the failure probabilities and the entropy values for the components assigned to the level control system.

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