Applied control theory by Leigh, James R

By Leigh, James R

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Only in special cases will it be true that an increased available throughput rate will be used by management to increase total throughput. Thinking can be clarified by assuming that the plant is not yet built. In this case, for a particular required annual output, management can decide to build a plant of a particular size without the control scheme or to build a somewhat smaller plant with the control scheme. It is now apparent that savings in time are related to capital cost. Such reasoning leads to the point where we argue that a control scheme to increase throughput rate is justifiable only if it is cheaper than a scheme simply to increase the size of the plant.

E(k -N) and \e(k)\ cx is the main gain of the controller. c2, P and TV play a subsidiary role. 7 Optimal state feedback using an observer The states are estimated by Luenberger observer and optimal state feedback is calculated by solution of the matrix Riccati equation. 1. 9 Combined feedforward-feedback controller Let Kbe a measurable process disturbance. The algorithm is where the Pt are polynomials in z'1. Often a simple lead-lag filter is used for feedforward. 2 Controller design in the z-domain Let the pulse transfer function of the process, together with the sample and hold device, be G'(z)(see Fig.

Economically important phenomena are often not representable by simple physical variables. Examples are the strength of paper or the flatness of a steel plate. Both properties are important to customers of the respective industries and both need to be quantified before they can be monitored or controlled. The chapter includes an introduction to methods of estimating process variables that cannot be measured directly. This area of work (in which reliable estimates of process variables are obtained from unreliable primary measurements or from measurement of variables on the process periphery) is of ever-increasing importance in large-scale industry.

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