Ebook: Application of Dimensional Analysis in Systems Modeling and Control Design

Dimensional analysis is an engineering tool that is widely applied to numerous engineering problems, but has only recently been applied to control theory. Application of Dimensional Analysis in Systems Modeling and Control Design aims to solve control problems such as identification and model reduction, robust control, adaptive control and PID control.

This new book introduces the fundamentals of dimensional analysis to both control engineers and theorists with examples of practical applicability to industrial control problems. By adopting control theory research, the author describes how to exploit the benefits that dimensional analysis can offer to control theoretic and practical problems.

Topics 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
• robust control
• adaptive control in the presence of input saturation
• two time scales control.