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3. Consider the following system. w 20 2 H IV in 500 m 50 m Figure...
at a zero.) 4.11 Consider the network in figure 4.14 to be a 2-input, 2-output filter...
at a zero.) 4.11 Consider the network in figure 4.14 to be a 2-input, 2-output filter with input vector x(n) and output vector s(n) a. Write state equations for the network. b. Find the state matrices A, B, C, D (all 2 x 2) c. Find the matrix system function (z) relating the vector z transforms X(z) and S(z), which is given by the general- ization of (4.4.13), i.e., H(z) D + C(zI - A) B. +oking s(n) (n) Z...
In this questian w will consider the solutions of the system of linear simultancous equations descrbed...
In this questian w will consider the solutions of the system of linear simultancous equations descrbed by the follawing Hara A is a square matrix (m by and x and b aa colmn vecters ( by 1) For exampla, tha fallowing system of linear simulanous aquations +2 10 can be written in tine form Ax = b, where and h In tha above casa 2. Creata a function that takes as an input a squara matrix A ( and a...
Problem 4 (50 pts): Consider the electrical circuit represented in figure, with R = 102, C...
Problem 4 (50 pts): Consider the electrical circuit represented in figure, with R = 102, C = 1 F and L=1 H. Assume V (t) as input and i(t) as output E ER V.(t) a) (5 pts) Determine the differential equation of the system b) (5 pts) Find the transfer function of the system c) (20 pts) Write the symbolic expressions of magnitude and phase of the transfer function d) (20 pts) Determine the expression of steady-state response of the...
Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space...
Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space model in observer canonical form for the system, and design a full state estimator for desired eigenvalues of -10.-20 and-30. What are the values of the estimator gain matrix?
Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space model in observer canonical form for the system, and design a full state estimator for...
Consider the 4-bus power system shown in Fig. 1. The system parameters are given below: 50 MVA, 2...
Please show all the clearly step
Y11 ist j30 and Y44 isnt -j12.85
Consider the 4-bus power system shown in Fig. 1. The system parameters are given below: 50 MVA, 20 kV, X-2090 40 MVA, 20 kV, X-20%, X, = 5% 50 MVA, 20 kV Δ /110 kV Ý, X= 1090 50 MVA, 20 kV MI 10 kV Ý, X= 10% Xi-24.2 Ω Generator G: Motor M: Transformer T1 : Transformer T2 : Transmission line: 3 4 T2 nu)M Fig....
Problem 1: consider the following circuit with 4 inputs A, B, c, D, and 3 outputs...
Problem 1:
consider the following circuit with 4 inputs A, B, c, D, and 3 outputs F, G, H. Each input/output is connected to an input/output port. 3-input OR gate Figure 1 a) Determine the Boolean algebra equations relating each input to each output of the circuit. b) Create the truth tables corresponding to the equations obtained above. There should be one truth table per equation c) Produce the Karnaugh maps corresponding to the truth tables d) Determine simplified Boolean...
Problem 3: The system in Figure 3 consists of a double pendulum where both masses are...
Problem 3: The system in Figure 3 consists of a double pendulum where both masses are m and both lengths are L 2 Figure 3: System for Problem 3 (a) Derive the differential equations of motion for the system. The angles a(t) and θ2(t) can be arbitrarily large. (b) Linearize the equations by assuming that a (t) and 02(t) are small. Write the linearized differential equations in matrix form (c) Obtain the natural frequencies and modes of vibration. (d) Plot...
UestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Fin...
uestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Find a state equation and state transition matrices (A,B, C and D) of the system for a step input 6u(t). ii) Find the state transition matrix eAt) ii) Find the output response of system y(t) to a step input 6u(t) using state transition matrix, iv) Obtain the output response y(t) of the system with two other methods for step input óu(t). Question IV. A system is described...
H (8) Fig. Q1 Q2 [20 Marks] a) Consider the mechanical system shown in Fig. 22....
H (8) Fig. Q1 Q2 [20 Marks] a) Consider the mechanical system shown in Fig. 22. (i) Obtain the differential equations that describe the system. [4 Marks] (ii) Obtain the state variable matrix that represents the system. [4 Marks] V2 i w m2 -16.JPG here to search O
Consider the LTI system described by the following impulse response: (a) h(n) = 2(0.5)n u(n). Determine:...
Consider the LTI system described by the following impulse response: (a) h(n) = 2(0.5)n u(n). Determine: (i) The system function representation; (ii) the difference-equation representation (Note: this is just terminology that refers to expressing the input and output time-domain signals in the form of an equation. E.g., what we did when we went over the equations for block diagrams); (iii) The pole-zero plot, sketched by hand; and (iv) the output y(n) if the input is x(n) = (0.25)n u(n) [10...
at a zero.) 4.11 Consider the network in figure 4.14 to be a 2-input, 2-output filter with input vector x(n) and output vector s(n) a. Write state equations for the network. b. Find the state matrices A, B, C, D (all 2 x 2) c. Find the matrix system function (z) relating the vector z transforms X(z) and S(z), which is given by the general- ization of (4.4.13), i.e., H(z) D + C(zI - A) B. +oking s(n) (n) Z...
In this questian w will consider the solutions of the system of linear simultancous equations descrbed by the follawing Hara A is a square matrix (m by and x and b aa colmn vecters ( by 1) For exampla, tha fallowing system of linear simulanous aquations +2 10 can be written in tine form Ax = b, where and h In tha above casa 2. Creata a function that takes as an input a squara matrix A ( and a...
Problem 4 (50 pts): Consider the electrical circuit represented in figure, with R = 102, C = 1 F and L=1 H. Assume V (t) as input and i(t) as output E ER V.(t) a) (5 pts) Determine the differential equation of the system b) (5 pts) Find the transfer function of the system c) (20 pts) Write the symbolic expressions of magnitude and phase of the transfer function d) (20 pts) Determine the expression of steady-state response of the...
Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space model in observer canonical form for the system, and design a full state estimator for desired eigenvalues of -10.-20 and-30. What are the values of the estimator gain matrix?
Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space model in observer canonical form for the system, and design a full state estimator for...
Please show all the clearly step
Y11 ist j30 and Y44 isnt -j12.85
Consider the 4-bus power system shown in Fig. 1. The system parameters are given below: 50 MVA, 20 kV, X-2090 40 MVA, 20 kV, X-20%, X, = 5% 50 MVA, 20 kV Δ /110 kV Ý, X= 1090 50 MVA, 20 kV MI 10 kV Ý, X= 10% Xi-24.2 Ω Generator G: Motor M: Transformer T1 : Transformer T2 : Transmission line: 3 4 T2 nu)M Fig....
Problem 1:
consider the following circuit with 4 inputs A, B, c, D, and 3 outputs F, G, H. Each input/output is connected to an input/output port. 3-input OR gate Figure 1 a) Determine the Boolean algebra equations relating each input to each output of the circuit. b) Create the truth tables corresponding to the equations obtained above. There should be one truth table per equation c) Produce the Karnaugh maps corresponding to the truth tables d) Determine simplified Boolean...
Problem 3: The system in Figure 3 consists of a double pendulum where both masses are m and both lengths are L 2 Figure 3: System for Problem 3 (a) Derive the differential equations of motion for the system. The angles a(t) and θ2(t) can be arbitrarily large. (b) Linearize the equations by assuming that a (t) and 02(t) are small. Write the linearized differential equations in matrix form (c) Obtain the natural frequencies and modes of vibration. (d) Plot...
uestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Find a state equation and state transition matrices (A,B, C and D) of the system for a step input 6u(t). ii) Find the state transition matrix eAt) ii) Find the output response of system y(t) to a step input 6u(t) using state transition matrix, iv) Obtain the output response y(t) of the system with two other methods for step input óu(t). Question IV. A system is described...
H (8) Fig. Q1 Q2 [20 Marks] a) Consider the mechanical system shown in Fig. 22. (i) Obtain the differential equations that describe the system. [4 Marks] (ii) Obtain the state variable matrix that represents the system. [4 Marks] V2 i w m2 -16.JPG here to search O
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