This supplement presents the use of a technique derived from research conducted over the last 20 years. This technique, called interpolation theory in analytic design, is still not found in major introductory textbooks. Most introductory-level books teach trial and error design methods, not analytic design. Using this new technique, a mathematical existence theorem, and a solution algorithm, are posited and then used to solve a problem. Interpolation theory, which requires a minimal amount of mathematics, is the technique used to solve analytical design problems. The analytical design techniques presented in this book reflect modern approaches to problem-solving developed over the past 20 years (especially in the area of frequency domain), and are thoroughly up-to-date, as compared to the trial-and-error approach, which is now more than 30 years old.

1. Introduction.
2. Design with Stable Compensators.
3. Design with Unstable Compensators.
4. Digital Control Design.
5. Robust Design.
Appendix A: Interpolation with SPR Functions.
Appendix B: Stability Criteria.