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Key learnings:- Mathematical Modelling Definition: Mathematical modelling of control systems is the process of creating block diagrams to determine system performance and transfer functions.
- Mechanical Systems: These can be linear (involving force, velocity, and displacement) or rotational (involving torque, angular velocity, and angular displacement).
- Electrical Systems: These involve voltage, current, and charge, with parameters like resistance, capacitance, and inductance.
- Force-Voltage Analogy: In this analogy, mass (M) is similar to inductance (L), force is similar to voltage (V), and displacement (x) is similar to charge (Q).
- Force-Current Analogy: Here, mass (M) is similar to capacitance (C), force is similar to current (I), and displacement (x) is similar to flux (ψ).
We have two types of mechanical systems. The mechanical system may be a linear mechanical system or it may be a rotational mechanical type of system.
In a linear mechanical type of systems, we have three variables:
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