Engineering Quiz 1.5

Review Quiz: Basic Control Systems
The following linear system of differential equations represents a physical system.

+ 4 =
+ 2

Part 1: Determine the Transfer Function () of the system
Part 2: Determine the system’s State Equations
Part 3: Draw the all-integrator block diagram representation of the system.
Part 4: Determine the state space representation of the system in the controllable canonical form.
̇ =  + 
 =  + 
Part 5: Calculate the system poles. Plot them on the complex plane provided below. Is the system stable? Does it
exhibit any oscillatory behavior?

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