Case Studies of Coefficient Diagram Method - Practical Polynomial Design Approaches -

Author:	Manabe Shunji, Retired, previously Tokai University, Japan
Topic:	2.1 Control Design
Session:	Polynomial Design Methods: Applications
Keywords:	Control system design, Control theory, Polynomials, Benchmark examples, Stability limit.

Abstract

Coefficient Diagram Method (CDM) is one of polynomial methods in control design. Its design effectiveness mainly stems from the usage of a diagram called Coefficient Diagram. Coefficient diagram shows the coefficients of characteristics polynomial and those of numerator polynomials corresponding to sensitivity and auxiliary sensitivity function in logarithmic scale, where the abscissa is the order for the coefficients. From the shape, designer can visualize the stability, response, and robustness. A well-known difficult benchmark problems is solved to demonstrate the effectiveness of CDM.