Represent the electrical network shown in Figure P3.1 in state space, where vo(t) is the output. [Section: 3.4]

Problem 1

Represent the electrical network shown in Figure P3.1 in state space, where vo(t) is the output. [Section: 3.4]

Step-by-step solution

Step 1 of 2

Add the branch currents and node voltages to the network.

Write the differential equation for each energy storage element,

Therefore,the state vector is

Now obtain , and in terms of the state variables.First find in terms of the state variables.

But and

thus,

Making substitution for yields