Block of a control system

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Reference no: EM13866274

Problem: The block of a control system is shown below.

18_block of a control system.jpg

1. Rewrite the system into a state space description from shown below, and stimulate this continues plant for a unit step input dX/dt = AX +  Bu

y = CX

2. Discretize this system into a discrete time system in the form below X(k + 1) = ? X (k) + Γu(k)

y = CX(k)

3. Stimulate this discrete time system, and change T to observe the changes in responses. Select a proper sampling interval T based on your observation for the rest of the assignment.

4. Design a state variable feedback regulator for the closed-loop system with a pair of complex poles at 0.3±0.4. Simulate this closed-loop system for a unit step input.

5.  If the system state variables are not available. Design a dead-beat observer to provide state variables for your regulator. Stimulate the complete system with regulator and observer in place and non zero initial errors in state variables.

Reference no: EM13866274

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