Modern Control Engineering

A Few Comments on Lag Compensation. 1.Lag compensators are essentially low-pass filters. Therefore, lag compensation permits a h ...

Section 7–13 / Lag–Lead Compensation 511 7–13 Lag–Lead Compensation We shall first examine the frequency-response characteristic ...

In designing a lag–lead compensator, we frequently chose g=b. (This is not necessary. We can, of course, choose gZb.) In what fo ...

Section 7–13 / Lag–Lead Compensation 513 Lag–Lead Compensation Based on the Frequency-Response Approach. The design of a lag–lea ...

Recall that for the lead compensator the maximum phase-lead angle fmis given by Equation (7–25), where ais1/bin the present case ...

Section 7–13 / Lag–Lead Compensation 515 arev=0.7radsec and v=7radsec. Thus, the transfer function of the lead portion of the ...

In the following we shall examine the transient-response characteristics of the compensated system. (The gain-adjusted but uncom ...

Section 7–13 / Lag–Lead Compensation 517 Note that the designed closed-loop control system has the following closed-loop zeros a ...

4. Lead compensation may generate large signals in the system. Such large signals are not desirable because they will cause satu ...

Section 7–13 / Lag–Lead Compensation 519 ments in both the transient response and steady-state response can be expected. The res ...

instantaneously transfer energy from the input to the output. In addition, since noise is almost always present in one form or a ...

Example Problems and Solutions 521 Concluding Comments. In the design examples presented in this chapter, we have been primarily ...

A–7–2. Consider the system defined by Obtain the sinusoidal transfer functions and In deriving and we assume that Simi- larly, i ...

Example Problems and Solutions 523 Frequency (rad/sec) Phase (deg); Magnitude (dB) Bode Diagrams 100 101 102100 101 102 From:U 1 ...

524 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method K +– s(s+ 1) (s+ 5) R(s) C(s) Figure 7–120 ...

Example Problems and Solutions 525 Frequency (rad/sec) Bode Diagrams of G(s) = K/[s(s + 1)(s + 5)], where K = 1, K = 10, and K = ...

526 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method Solution.The given sinusoidal transfer func ...

Example Problems and Solutions 527 If the last term on the right-hand side of Equation (7–31) does not contain any poles or zero ...

528 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method (^0) Re (a) Im v= 1 v= 0 Re Im 1 G Pla ...

Example Problems and Solutions 529 Solution.Figure 7–123(b) shows a complete Nyquist plot in the Gplane. The answers to the thre ...