State Space Model 4

Summary

This video provides a detailed explanation of deriving the state-space representation of a circuit with an inductor and capacitor. It begins by identifying the state variables (current through the inductor and voltage across the capacitor) and proceeds to find the derivatives of these state variables. The script walks through two loops, deriving the equations for the rate of change of current and voltage. Finally, it concludes with the state-space model in matrix form and shows how the current through the resistor can be derived as the output, encapsulating the key steps to understanding the circuit's dynamics.

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