Dimensional analysis is an engineering tool that is widely applied to numerous engineering problems, but has only recently been applied to control theory and problems such as identification and model reduction, robust control, adaptive control, and PID control.

Application of Dimensional Analysis in Systems Modeling and Control Design provides an introduction to the fundamentals of dimensional analysis for control engineers, and shows how they can exploit the benefits of the technique to theoretical and practical control problems. Topics covered include dimensional analysis and dimensional similarity, dynamical systems dimensionless representation, dimensionless systems identification and model order reduction, homogeneity of PID tuning rules, dimensionless PID tuning rules comparison, dimensional analysis control fundamentals, control of dimensionally similar systems, and adaptive control in the presence of input saturation.