The objective of this chapter is to develop frequency response techniques for control system analysis and design. After studying this chapter, the reader should be able to do the following:
Substitute s = jω, and find Bode or Nyquist plots for a transfer function
Given a Bode plot, construct a Nyquist plot
Understand the concepts of “all-pass” and “nonminimum phase”
Understand the effect of gains, time constants, RHP zeros, and time delays on amplitude ratios and phase angles
Find the gain and phase margins for a given process and controller
Tune a controller to achieve a given gain or phase margin
Determine the amount of dead time or gain uncertainty that can be tolerated before a closed-loop system becomes ...