New PDF release: Classical and Modern Control with Worked Examples

By Jean-Pierre Elloy

ISBN-10: 0080267459

ISBN-13: 9780080267456

ISBN-10: 0080267467

ISBN-13: 9780080267463

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Additional info for Classical and Modern Control with Worked Examples

Example text

46. 3 db. 3 db on the Nichols chart. 5 30. 4 SERVO SYSTEM FOR THE CONDUCTIVITY OF A SOLUTION A homogenisation the bottom column filled (see rated solution flow rate. figure) with leaving saturated fresh Rachig water rings the is column, solution, the the d, whereas the flow supplied from satu­ an adjustable concentration control is from a pump and with of Na Cl from a micro pump with The amount to be regulated mixture with of salt, variable is of fresh water servo- c, the of flow the of Q remains constant.

S 1 c) Is the open loop transfer function equal to KG(s) = Ί_η Ρ stable test). in closed loop ? 2s) the system is stable in closed loop. Do this by using the Nyquist test> then by applying the Routh test. 1 + s e) Same question for KG(s) = K s2(1 + τδ>(1 * * * * * * +iw) LINEAR SERVOMECHANISMS a) * KG(s) 47 s(l+s) N = number of turns of KG(s) around "-1" P = number of poles of KG(s) with real positive parts Z = number of zeros of 1 + KG(s) with real positive part. N = 0, P = 0 therefore Z The system is stable in closed loop.

We want n to follow a set point value n recorded by a potentiometer, even when there are variations in the leakage rate q~. For this we propose a scheme consisting of the application of a voltage of error v - v , amplified by amplifier 1, to a valve position servo system. This servo system includes a second ampli­ fier of gain A which supplies the induced circuit of a direct current motor whose excitation is constant. As it turns, the motor drives the valve spindle by means of a reducer, which enables the input flow q to be adjusted.

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Classical and Modern Control with Worked Examples by Jean-Pierre Elloy

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