1. A system (plant) has the following transfer function G(s) = Y(s) U(s) 1 s(s +1.xx)(s +2.xx) where xx represents the l
Posted: Mon May 02, 2022 2:35 pm
- 1 A System Plant Has The Following Transfer Function G S Y S U S 1 S S 1 Xx S 2 Xx Where Xx Represents The L 1 (105.46 KiB) Viewed 45 times
1. A system (plant) has the following transfer function G(s) = Y(s) U(s) 1 s(s +1.xx)(s +2.xx) where xx represents the last 2 digits of your student ID. Using a method of choice, determine a state-space representation of the system, noting that a state- space representation has the form X Ax + Bu y = Cx + Du with appropriate matrix and vector dimensions. 2. Briefly explain what is meant by controllability', and determine the controlla- bility matrix for the system. Is the system completely state controllable? Justify your answer with supporting calculations. 3. Briefly explain what is meant by 'observability and the role of a 'state observer? in the context of state feedback control systems. Determine the observability matrix for the system. Is the system completely state observable? Justify your answer with supporting calculations. 4. The system uses state feedback control where u = -Kx Draw a block diagram for this state feedback control system. 5. Determine the state feedback gain matrix, K, such that the desired closed-loop poles are located at s = -2 +2/3;, -10