Find the differential equation representation

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Reference no: EM131360367

Consider the system in Figure 6.45. The transfer function relating the input voltage x(t) to the output angular rotation is

where k₁ and k₂ are proportionality constants, and D and J are the viscosity and the inertia, respectively.

1. Find the differential equation representation.

2. Obtain the state-space representation.

3. Draw the block diagram.

4. Give values to the parameters shown in the transfer function. Obtain the impulse response representation.

5. Is the system stable?

6. Repeat by choosing other values for the parameters and obtain the impulse response until the system is stabilized.

Reference no: EM131360367

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