Electrical Engineering

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Application of optimal control theory to aboiling water nuclear reactor is the theme of this paper. The nonlinear model of the direct cycle 159 MW (th) Big Rock Point boiling water reactor derived on the basis of physical laws and empirical relations is linearized around an operating point and the model is verified against experimental results. The optimal control problem of the linearized model is treated as a regulator problem wherein the given quadratic index of performance includling a sensitivity term is minimized in an average sense over a set of feedback gainmatrices which ensure prescribed closed-loop eigenvalues. An efficient computational procedure based on direct cost optimization using a gradient type algorithm is also reported. With the new optimal control strategy proposed in this paper, the stability and sensitivitycharacteristics of the system response can easily bemanipulated. © 1985 IEEE

(SoE) School of Engineering

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IEEE Transactions on Nuclear Science

A new optimal control strategy for a nuclear boiling water reactor

A method is proposed for the design of constant gain optimal feedback control laws for discrete-time systems which reduce trajectory sensitivity to small system parameter variations and ensure the closed-loop eigenvalues at the prescribed locations. The selected performance index is of standard linear regulator type, modified to include a quadratic sensitivity term. An efficient computational procedure based on direct cost oprimization using gradient type algorithm is also reported. A case study of a Boiling Water Reactor power plant has been presented to illustrate the application of the design procedure. © 1985.

Annual Review in Automatic Programming

A new digital control strategy for a nuclear boiling water reactor

In this paper a scheme for a decentralized controller based on the modelling of interaction in large interconnected power systems is proposed. An example of a two-area power system is presented to illustrate the application of the proposed design procedure in both the continuous-time and discrete-time case. The computer simulation results revealed that the performance of the proposed decentralized controller is comparable to that of a centralized controller. © 1985 Taylor and Francis Group, LLC.

International Journal of Systems Science

On decentralized controllers for interconnected power systems

A scheme for decentralized estimation based on the modeling of interaction in large dynamical systems is proposed. An example of a two-area power system is presented to illustrate the application of the proposed design procedure. The computer simulation results revealed that the performance of decentralized and centralized observers designed to optimize the same performance index is quite comparable. © 1985 IEEE

IEEE Transactions on Systems, Man and Cybernetics

An Application of Decentralized Observer Theory to Interconnected Power Systems

A method is proposed for the design of constant-gain optimal feedback control laws for discrete-time systems, which reduce trajectory sensitivity to small system parameter variations and ensure the closed-loop eigenvalues at the prescribed locations. The selected performance index is of standard linear regulator type, modified to include a quadratic sensitivity term. An efficient computational procedure, based on direct cost optimization and using a gradient-type algorithm, is also reported. A case study of a boiling-water reactor power plant has been presented to illustrate the application of the design procedure.

IEE Proceedings D: Control Theory and Applications

SENSITIVITY-REDUCED OPTIMAL DISCRETE LINEAR REGULATOR WITH PRESCRIBED CLOSED-LOOP EIGENVALUES.

A method is proposed for the design of constant-gain feedback-control laws for linear multivariable discrete-time systems which reduce trajectory sensitivity to small system parameter variations and ensure the closed-loop eigenvalues at the origin. The given quadratic index of performance including a sensitivity term is minimized in an average sense. An efficient computational procedure based on direct cost optimization using gradient type algorithm is also reported. An example is worked out to illustrate the proposed technique. © 1985 Taylor & Francis Group, LLC.

International Journal of Control

On the design of a sensitivity-reducing optimal dead-beat controller

In this note, the design technique given by Sebakhy and Sorial [1], based on both pole placement and optimal control, is extended to obtain a sensitivity reduced optimal linear regulator with prescribed closed-loop eigenvalues. An efficient computational procedure based on direct cost optimization using a gradient type algorithm is also reported. Copyright © 1984 by The Institute of Electrical and Electronics Engineers, Inc.

IEEE Transactions on Automatic Control

Sensitivity Reduced Optimal Linear Regulator with Prescribed Closed-Loop Eigenvalues

A method is proposed for the design of constant-gain feedback control laws which reduce trajectory sensitivity to small system parameter variations and ensure the prescribed degree of stability for Discrete-Time Systems. The selected performance index is of standard linear regulator type; modified to include a quadratic sensitivity term and weighting function ( alpha )**2**k with alpha greater than 1, which ensures that the closed-loop poles will lie inside the circle of radius 1/ alpha in the complex plane. An example of a two-area load frequency control system is presented to illustrate the application of the design procedure.

SENSITIVITY REDUCED DESIGN OF DISCRETE LINEAR REGULATOR WITH PRESCRIBED DEGREE OF STABILITY.

A method is proposed for the design of constant gain output feedback control laws which reduce trajectory sensitivity to small system parameter variations and ensure the prescribed degree of stability for linear continuous-time systems. The selected performance index is of standard linear regular type: modified to include a quadratic sensitivity term and weighting function e**2** alpha **t with alpha greater than 0, which ensures that the closed loop poles will lie to the left of the line Re(s) equals minus alpha in complex s-plane. An example of a 2-area load frequency control system is presented to illustrate the application of the design procedure.