Course

Unit 1

Modelling analogies: concepts and components, Force balance, Voltage balance , Pressure balance , Energy Balance. Springs and capacitors, Resistors and dampers, Inductors and masses.

Unit 2

Pipes and resistors and heat conductors. System of springs, Resisters, pipes. analogous arrangements. Linearity and non-linear systems. Modelling First order systems.

Unit 3

Simple Electrical circuits, Mechanical systems , Fluid systems, Thermal systems analogous arrangements Responses to first order systems. Using MATLAB for solving

Course Objectives:

• Understand Modeling Analogies – Develop an understanding of the fundamental concepts and components of modeling analogies across electrical, mechanical, fluid, and thermal domains.
• Analyze Balance Equations – Apply force balance, voltage balance, pressure balance, and energy balance principles to model physical systems.
• Compare Physical Components Across Domains – Explore analogies between springs and capacitors, resistors and dampers, inductors and masses, as well as pipes, resistors, and heat conductors.
• Model Complex Systems – Construct models for systems consisting of multiple springs, resistors, and pipes and analyze their analogous arrangements.

Course outcomes

CO PO Mapping

1. Dorf, C., & Bishop, R. H. – Modern Control Systems, Pearson Education.
2. Close, M., Frederick, D. K., & Newell, J. C. – Modeling and Analysis of Dynamic Systems, Wiley.
3. Kuo, C. – Automatic Control Systems, McGraw Hill.
4. Franklin, F., Powell, J. D., & Emami-Naeini, A. – Feedback Control of Dynamic Systems, Pearson.
5. https://linklab-uva.github.io/modeling_cps/
6. https://sites.google.com/sheffield.ac.uk/controleducation/chaptermaths