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Problem # 1 For each system Derive the differential equation which describes the system. Use Laplace Trans form to...
The state space model of an interconnected three tank water storage system is given by the following equation: -3 1 0 1rh dt os lo 0 3] 10 1-3 The heights of water in the tanks are, respectively,...
The state space model of an interconnected three tank water storage system is given by the following equation: -3 1 0 1rh dt os lo 0 3] 10 1-3 The heights of water in the tanks are, respectively, h,h2,h3. Each tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qǐ1,W2,4a. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks...
The state space model of an interconnected three tank water storage system is given by the following equation -3 1 o 1[hi] dt The heights of water in the tanks are, respectively, hi, h2, hz. Each tan...
The state space model of an interconnected three tank water storage system is given by the following equation -3 1 o 1[hi] dt The heights of water in the tanks are, respectively, hi, h2, hz. Each tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qii,qi2, Oi3. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks are, respectively, qo1,...
Experiment 1 Consider the open-loop system, modelled as V (s) 6(s) GM(s) where GM(s) is given by ...
Experiment 1 Consider the open-loop system, modelled as V (s) 6(s) GM(s) where GM(s) is given by equation7 In this experiment, we will find the responise and investigate the characteristics of this open-loop system. a) Write instructions to create the ILTI (linear time-invariant) transfer function representing the motor GM(s). b) Plot the open-loop response for step voltage input (step response). c) Find the finite poles afid zeros of GM(s) c) Answer questions for experiment 1 in the worksheet. Simplifying, gives...
Consider the automobile cruise-control system shown below: Engine ActuatorCarburetor 0.833 and load 40 3s +1 Compensator R(s)E(s) Ge(s) s +1 -t e(t) Sensor 0.03 1) Derive the closed-loop transfer fun...
Consider the automobile cruise-control system shown below: Engine ActuatorCarburetor 0.833 and load 40 3s +1 Compensator R(s)E(s) Ge(s) s +1 -t e(t) Sensor 0.03 1) Derive the closed-loop transfer function of V(s)/R(s) when Gc(s)-1 2) Derive the closed-loop transfer function of E(s)/R(s) when Ge(s)-1 3) Plot the time history of the error e(t) of the closed-loop system when r(t) is a unit step input. 4) Plot the root-loci of the uncompensated system (when Gc(s)-1). Mark the closed-loop complex poles on...
Part I: For each problem, there is only one right answer 1. The model of a...
Part I: For each problem, there is only one right answer 1. The model of a system in the frequency domain is A. the transfer function from the input to the output. B. the differential equation which defines the relation between the input and the output. C. the zero-state response of the system D. None 2. For a system whose input r and output y are related by the differential equation u(0)a30) dr(t) +3r(t) dt dt2 the transfer function from...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the closed loop transfer function TF(s) γ(s) R(s) What are the poles and zeros of TF1(s)? [2 marks] b) For TF(s), calculate the DC gain, natural frequency and damping ratio. Classify TF1(s) as underdamped overdamped, critically damped or undamped [3 marks] c) Use the initial value theorem and final value theorem to determine the initial value (Mo) and final value (M) of the [2 marks]...
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass...
This assignment is for my Engr dynamics systems class.
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force for the system. Figure 1(b) shows the simplified equivalent electric circuit and the mechanical model...
Answer 23, 24, and 25. thanks 23. If the input to the above system is a)2cus(4), what would be the output y0)? Use the equation below for the following problem(s): (cos(,)-1) y(t) = What is t...
Answer 23, 24, and 25.
thanks
23. If the input to the above system is a)2cus(4), what would be the output y0)? Use the equation below for the following problem(s): (cos(,)-1) y(t) = What is the Fourier Transform of the signal given above? 24. Use the equation(s) below to solve the following problem(s): tn-nne [2.5] Q otherwise Qctherwise what is the result of the convolution of the two signals shown above, x(n-fn]? a. (000019.5/3 6.5/3 33/20 1 0 0 b....
The state space model of an interconnected three tank water storage system is given by the following equation: -3 1 0 1rh dt os lo 0 3] 10 1-3 The heights of water in the tanks are, respectively, h,h2,h3. Each tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qǐ1,W2,4a. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks...
The state space model of an interconnected three tank water storage system is given by the following equation -3 1 o 1[hi] dt The heights of water in the tanks are, respectively, hi, h2, hz. Each tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qii,qi2, Oi3. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks are, respectively, qo1,...
Experiment 1 Consider the open-loop system, modelled as V (s) 6(s) GM(s) where GM(s) is given by equation7 In this experiment, we will find the responise and investigate the characteristics of this open-loop system. a) Write instructions to create the ILTI (linear time-invariant) transfer function representing the motor GM(s). b) Plot the open-loop response for step voltage input (step response). c) Find the finite poles afid zeros of GM(s) c) Answer questions for experiment 1 in the worksheet. Simplifying, gives...
Consider the automobile cruise-control system shown below: Engine ActuatorCarburetor 0.833 and load 40 3s +1 Compensator R(s)E(s) Ge(s) s +1 -t e(t) Sensor 0.03 1) Derive the closed-loop transfer function of V(s)/R(s) when Gc(s)-1 2) Derive the closed-loop transfer function of E(s)/R(s) when Ge(s)-1 3) Plot the time history of the error e(t) of the closed-loop system when r(t) is a unit step input. 4) Plot the root-loci of the uncompensated system (when Gc(s)-1). Mark the closed-loop complex poles on...
Part I: For each problem, there is only one right answer 1. The model of a system in the frequency domain is A. the transfer function from the input to the output. B. the differential equation which defines the relation between the input and the output. C. the zero-state response of the system D. None 2. For a system whose input r and output y are related by the differential equation u(0)a30) dr(t) +3r(t) dt dt2 the transfer function from...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the closed loop transfer function TF(s) γ(s) R(s) What are the poles and zeros of TF1(s)? [2 marks] b) For TF(s), calculate the DC gain, natural frequency and damping ratio. Classify TF1(s) as underdamped overdamped, critically damped or undamped [3 marks] c) Use the initial value theorem and final value theorem to determine the initial value (Mo) and final value (M) of the [2 marks]...
This assignment is for my Engr dynamics systems class.
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force for the system. Figure 1(b) shows the simplified equivalent electric circuit and the mechanical model...
Answer 23, 24, and 25.
thanks
23. If the input to the above system is a)2cus(4), what would be the output y0)? Use the equation below for the following problem(s): (cos(,)-1) y(t) = What is the Fourier Transform of the signal given above? 24. Use the equation(s) below to solve the following problem(s): tn-nne [2.5] Q otherwise Qctherwise what is the result of the convolution of the two signals shown above, x(n-fn]? a. (000019.5/3 6.5/3 33/20 1 0 0 b....
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