Theory of Automatic Control by M. A. Aizerman and E. A. Freeman (Auth.)

Theory of Automatic Control by M. A. Aizerman and E. A. Freeman (Auth.)

By M. A. Aizerman and E. A. Freeman (Auth.)

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Extra info for Theory of Automatic Control

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35. This is a hydraulic controller with connexions joined after first-stage amplification. I n this circuit each sensor controls only one amplifier. GZB FIG. 35 O D GENERAL INTRODUCTION TO AUTOMATIC CONTROLLERS 35 Eachofthesecond-stage amplifiers is controlled by the two first-stage amplifiers. Figure 36 shows a similar circuit with the connexions joined directly after the sensors. Here each sensor controls all the hydraulic amplifiers, but any one amplifier is connected to only one control element.

I n the presence of noise the charac­ teristic y=f(x) has many small extrema (Fig. 50). The controller GENERAL INTRODUCTION TO AUTOMATIC CONTROLLERS 47 has to be considerably more complicated if it is to distinguish the required (true) extremum from the bogus extrema. A different scheme for an extremal controller is represented in Fig. 51. Both the regulating motor of the controller and the constant frequency oscillations produced by a special oscillator act on the control element. Let us first suppose t h a t the control element produces only oscil­ latory movements.

53 57 quantities. I n order to do this, the controlled quantities xl9 x2, . . , are transmitted to the input of the computing device (Fig. 58) which produces at its output the free parameter, some function of these quan­ tities y = F(xv x2, . . ,). This function is chosen so t h a t it has a JÜ 5ensor Contrvl element V^ . /17 1 Control ^ element *3 | i Object — Sensor —H Computing — ^ unit 1 *- Control {element | _ _ T y2 1 y3 —^ Sensor \ Extremal {controller Switch T FIG. 58 ^ f 54 THEORY OF AUTOMATIC CONTROL sharp minimum (or maximum) for the values of x10, x 20 , .

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