Classical Control: Pid Controller, Bode Plot, Nyquist Plot, Root Locus, Nyquist Stability Criterion, Pi Controller, Integral Windup

Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Pid Controller, Bode Plot, Nyquist Plot, Root Locus, Nyquist Stability Criterion, Pi Controller, Integral Windup, Gain Scheduling, Deadbeat Controller. Excerpt: Figure 1(a): The Bode plot for a first-order (one-pole) highpass filter; the straight-line approximations are labeled "Bode pole"; phase varies from 90 at low frequencies (due to the contribution of the numerator, which is 90 at all frequencies) to 0 at high frequencies (where the phase contribution of the denominator is 90 and cancels the contribution of the numerator). Figure 1(b): The Bode plot for a first-order (one-pole) lowpass filter; the straight-line approximations are labeled "Bode pole"; phase is 90 lower than for Figure 1(a) because the phase contribution of the numerator is 0 at all frequencies. A Bode plot is a graph of the logarithm of the transfer function of a linear, time-invariant system versus frequency, plotted with a log-frequency axis, to show the system's frequency response . It is usually a combination of a Bode magnitude plot (usually expressed as dB of gain ) and a Bode phase plot (usually expressed as degrees of phase shift ). Overview Among his several important contributions to circuit theory and control theory, engineer Hendrik Wade Bode (1905 1982), while working at Bell Labs in the United States in the 1930s, devised a simple but accurate method for graphing gain and phase-shift plots. These bear his name, Bode gain plot and Bode phase plot (pronounced Boh-dee in English, Bow-duh in Dutch ). The magnitude axis of the Bode plot is usually expressed as decibels of power, that is by the 20 log rule: 20 times the common logarithm of the amplitude gain. With the magnitude gain being logarithmic, Bode plots make multiplication of magnitudes a simple matter of adding distances on the...