Problem the block of a control system is shown

Question

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

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.

Answer 1

The assignment is all about blocking of a control system. 1. Re-write the system to a state space explanation from the figure illustrated below and motivate this continues plant for a unit step input dX/dt = AX + Bu y = CX 2. Stimulate the discrete time system, and change T to notice the changes in responses. Choose a proper sampling interval T based on your observation for the rest of assignment. Q4. Design the state variable feedback regulator for the closed-loop system by means of a pair of complex poles at 0.3±0.4. Simulate the closed-loop system for a unit step input. Q5. Whenever the system state variables are not accessible. Then design a dead-beat observer to give state variables for your regulator. Encourage the complete system by means of regulator and observer in place and non-zero initial errors in the state variables.