(Course Objective 2.1, Outcome m)
Application 1. Apply the state-space theory to determine a representation for the system.
Differential Eq.1
Differential Eq.2
Laplace Transform
Transfer Function
Application 1. Apply the state-space theory to determine a representation for the system.
9. For the transfer function: Find its state space representation. 10. A system is described by the following differential equations: Find its state space representation.
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
53.) Determine the transfer function of the system represented by the following space state representation. 3= 13* = 11 (33+ [1] y = [1 01Q;}
Determine the transfer function of the system ***with an added
inductor***. Then determine the state space representation of the
system shown with an added inductor.
us Question Determine the Transfer Function of the systern in Problem #2, but now added into the circuit (figure below). (4 points) a) ith an inductor b) Determine the State-Space representation for the system with R. b6m
3. (25 points) For parts a & b, determine the state space representation and write the matlab code to solve the transfer function a. The circuit below where the input is v, and the output is Va 500 mF V, LX 0 b. A system is represented by the differential equation below where the output is y() and the input is z(). 440180 + 5y0) 2) d' y(t) dr d y(t) dt ontpm ria bles 2L
3. (25 points) For...
2. Find the state space representation of the system represented by the following transfer function: (s +1.2) (s 15.8) (s +23) s(S 1.3) (s +7.2) (s + 47) G(s)- 3. Find the transfer function of the system with the following state space representation: 1 3.2 1.6 1(01) [-1 e) -7.4 2.4 -9.1l(O You may use your calculator, Matlab, or calculate by hand to find the following transfer functions: G1(s) 0,() R(S) G3(s) s) R(
1- A system has a block diagram as shown. Determine a state variable representation (model) and state transition matrix Φ(s) R(s) + 25 Y(s) 25 2- A system has the following differential equation: 2 -3 Determine Ф(t) and its transform D(s) for the system
Test 1 2: A state space representation of a system is given by: -2 011 y=[0 1]x 1. Design a state variable feedback control to place the closed-loop poles s =-3 ±j2. Assume that the complete state vector is available for feedback.。 Find the resulted close loop transfer function.
Question 1 a) Consider the electrical circuit in Figure 1. Determine the state space representation of the circuit where the output is voltage across the capacitor. (6 marks) b) From result obtained in (a), predict the transfer function. (4 marks) [10 MARKS] 192 192 192 m V:(t) 1 H 1F volt) Figure 1
A state space representation of a system is below, 1 1 TO La 1 b] + (0.5 y=[0 c]a 9.$+ Given that a = -14, b = -2, and c=6, what is its transfer function ? U(s) in the form of 1 com s+p, stro Please derive your expression and then match its coefficients to the given form carefully and then fill in the blanks below.