By Pedro Balaguer
Dimensional research is an engineering software that's largely utilized to varied engineering difficulties, yet has just recently been utilized to regulate concept. program of Dimensional research in structures Modeling and regulate layout goals to unravel regulate difficulties equivalent to id and version aid, strong keep watch over, adaptive regulate and PID control.
This new e-book introduces the basics of dimensional research to either keep watch over engineers and theorists with examples of functional applicability to business keep an eye on difficulties. by way of adopting keep watch over concept study, the writer describes find out how to take advantage of the advantages that dimensional research can provide to manage theoretic and useful difficulties.
• dimensional research and dimensional similarity
• dynamical structures dimensionless representation
• dimensionless platforms identity and version order reduction
• homogeneity of PID tuning rules
• dimensionless PID tuning ideas comparison
• dimensional research keep an eye on fundamentals
• keep an eye on of dimensionally related systems
• powerful control
• adaptive keep an eye on within the presence of enter saturation
• time scales keep watch over.
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Additional resources for Application of Dimensional Analysis in Systems Modeling and Control Design
Controller parameters dependence on model information through dimensional analysis’. In Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on, pages 1914–1919. N. Brennan. On size and control: the use of dimensional analysis in controller design. PhD thesis, Citeseer, 2002  K. Ogata. Modern Control Engineering. J. S. Bernstein, and R. Venugopal. Dimensional analysis of matrices state-space models and dimensionless units [lecture notes].
43) with θ the angular position, θ˙ the angular velocity, u the input torque, g the gravity acceleration, l the pendulum length, k the angular spring stiffness, c the friction constant, m the pendulum mass, and i the pendulum inertia. a) Obtain a dimensionless description and derive the model laws. b) Repeat the exercise in case the inertia is given by i = ml 2 . F. D. L. Workman. Digital Control of Dynamic Systems. Prentice Hall, 1997 M. Zlokarnik. Scale-up in Chemical Engineering. Wiley-VCH, 2002 Chapter 5 Dimensionless systems identification and model order reduction with J.
2 General procedure The dimensionless representation of dynamical systems reduces the number of parameters of the dynamical system. In this way we may gain some simplicity on the system representation. The parameters reduction by the dimensionless transfer 52 Application of dimensional analysis in systems modeling and control design function representation is limited to two parameters. Despite the limit on the parameters reduction capabilities, the dimensionless representation may enable the graphical representation in two or three dimensions of expressions that, otherwise, would not be possible to represent graphically.
Application of Dimensional Analysis in Systems Modeling and Control Design by Pedro Balaguer