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1. Show that the internal dynamics of the following system is unstable using the concept of zero ...
System dynamics and control 4. A Controller K is used to control the angle y, of...
System dynamics and control
4. A Controller K is used to control the angle y, of a motor by providing the required voltage to the motor. The bode plot of the openloop system GK is shown below: a. What happens to the phase margin of the system as the time delay increases? Explain why. b. If there is time delay between the controller and the plant, what is that maximum time delay this controller can handle before it becomes unstable....
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design...
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design the simplest output feedback (20 pts)
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design the simplest output feedback (20 pts)
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other...
need solution and code for this signal and system
problem
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other words, the response of a linear system to an input that is a linear combination of two signals is the linear combination of the responses of the system to each one of these signals. Let xi)- u(t) -u(t-1) and x2t) u- u(t-2) be input signals to the systems described by the i/o...
2. Consider the following 1-dimensional system: with bメ0. Our goal is to design a tracking contr...
2. Consider the following 1-dimensional system: with bメ0. Our goal is to design a tracking controller such that limt→ reference trajectory r(t) x(t)-r(t) = 0 for a given a. Let e(t)-x(t)-r(t) and show that є satisfies b. Design a controller u such that the error dynamics becomes with A> 0 so that e(t) converges to 0 as to
2. Consider the following 1-dimensional system: with bメ0. Our goal is to design a tracking controller such that limt→ reference trajectory r(t)...
[Q-1, 12 Marks] Answer the following briefly: (Imprecise answers will get zero marks) 1· (a) Chec...
Need b and c
[Q-1, 12 Marks] Answer the following briefly: (Imprecise answers will get zero marks) 1· (a) Check if the dominant poles concept is applicable (show your pole-zero skctch) to the system 630 G(s) (s2 16s 63) (s1.4s 2) and if it is, then i. Obtain the equivalent second order system transfer function i. Calculate the time to peak, overshoot and settling time iii. Sketch the second order system step response with the calculated parameters marked in the...
An unstable LTI system has the impulse response h(t)=sin (4t)u(t). Show that proportional feedback (G(s) =...
An unstable LTI system has the impulse response h(t)=sin (4t)u(t). Show that proportional feedback (G(s) = K) cannot BIBO-stabilize the system. Show that derivative control feedback (G(s) = Ks) can stabilize the system. Using derivative control, choose K so that the closed loop system is critically damped. 7. (a) (b) (c) %3D E(s) System но) X(s) (E +Y(s) Feedback G(s) Y(s) Y(s) system G(s) Feedback loop Figure 4. o of
For a system whose dynamics are expressed by the differential equation: 2° + 2y + 3y...
For a system whose dynamics are expressed by the differential equation: 2° + 2y + 3y = 3u By selecting the sampling time 0.1 second and using the zero- order holder (ZOH), obtain the discrete time transfer function of the system: G (z) = Y (2) / U (Z).
Please provide a step by step solution (System Dynamics) 3. A math model of a system...
Please provide a step by step solution (System Dynamics)
3. A math model of a system as in Eg.2 with initial condition y(0) 1 is expressed as 2y+5y 10 (a) Using Laplace, determine the complete solution y(t) (show all working and steps, do not just write the solution). (b) Determine the system time constant (c) Determine y(oo)and y(T). (d) Sketch the dynamic output response y(t) of system showing all relevant details on your sketch.
Consider the block diagram of a disk storage data-head positioning system as shown in figure belo...
please solve this problem with detail description.
Consider the block diagram of a disk storage data-head positioning system as shown in figure below. Derive the relationship between Kp and KD for which the closed-loop system is stable. Construct a parameter plane of Kp versus KD and show the following regions in the plane 12) (a) Stable and unstable regions. (b) Trajectory on which the system will have sustained oscillation. (c) The point in which the sustained oscillation frequency is 6...
4) Using the Routh-Hurwitz Criterion, determine whether the following Polynomials are Stable or Unstable. Please Show...
4) Using the Routh-Hurwitz Criterion, determine whether the following Polynomials are Stable or Unstable. Please Show Supporting Work: 1) H(s) = s? + 10s + 5 = 0 Stable Unstable 11) H(s) = s4 +53 + 5s2 + 20s + 10 = 0 Stable Unstable 111) H(s) = 83 + 4Ks2 + (5 + K)s + 10 = 0 The Range of K for a Stable System is: a. b. K > 0.46 K< 0.46 0<K <0.46 Unstable for all...
System dynamics and control
4. A Controller K is used to control the angle y, of a motor by providing the required voltage to the motor. The bode plot of the openloop system GK is shown below: a. What happens to the phase margin of the system as the time delay increases? Explain why. b. If there is time delay between the controller and the plant, what is that maximum time delay this controller can handle before it becomes unstable....
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design the simplest output feedback (20 pts)
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design the simplest output feedback (20 pts)
need solution and code for this signal and system
problem
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other words, the response of a linear system to an input that is a linear combination of two signals is the linear combination of the responses of the system to each one of these signals. Let xi)- u(t) -u(t-1) and x2t) u- u(t-2) be input signals to the systems described by the i/o...
2. Consider the following 1-dimensional system: with bメ0. Our goal is to design a tracking controller such that limt→ reference trajectory r(t) x(t)-r(t) = 0 for a given a. Let e(t)-x(t)-r(t) and show that є satisfies b. Design a controller u such that the error dynamics becomes with A> 0 so that e(t) converges to 0 as to
2. Consider the following 1-dimensional system: with bメ0. Our goal is to design a tracking controller such that limt→ reference trajectory r(t)...
Need b and c
[Q-1, 12 Marks] Answer the following briefly: (Imprecise answers will get zero marks) 1· (a) Check if the dominant poles concept is applicable (show your pole-zero skctch) to the system 630 G(s) (s2 16s 63) (s1.4s 2) and if it is, then i. Obtain the equivalent second order system transfer function i. Calculate the time to peak, overshoot and settling time iii. Sketch the second order system step response with the calculated parameters marked in the...
An unstable LTI system has the impulse response h(t)=sin (4t)u(t). Show that proportional feedback (G(s) = K) cannot BIBO-stabilize the system. Show that derivative control feedback (G(s) = Ks) can stabilize the system. Using derivative control, choose K so that the closed loop system is critically damped. 7. (a) (b) (c) %3D E(s) System но) X(s) (E +Y(s) Feedback G(s) Y(s) Y(s) system G(s) Feedback loop Figure 4. o of
For a system whose dynamics are expressed by the differential equation: 2° + 2y + 3y = 3u By selecting the sampling time 0.1 second and using the zero- order holder (ZOH), obtain the discrete time transfer function of the system: G (z) = Y (2) / U (Z).
Please provide a step by step solution (System Dynamics)
3. A math model of a system as in Eg.2 with initial condition y(0) 1 is expressed as 2y+5y 10 (a) Using Laplace, determine the complete solution y(t) (show all working and steps, do not just write the solution). (b) Determine the system time constant (c) Determine y(oo)and y(T). (d) Sketch the dynamic output response y(t) of system showing all relevant details on your sketch.
please solve this problem with detail description.
Consider the block diagram of a disk storage data-head positioning system as shown in figure below. Derive the relationship between Kp and KD for which the closed-loop system is stable. Construct a parameter plane of Kp versus KD and show the following regions in the plane 12) (a) Stable and unstable regions. (b) Trajectory on which the system will have sustained oscillation. (c) The point in which the sustained oscillation frequency is 6...
4) Using the Routh-Hurwitz Criterion, determine whether the following Polynomials are Stable or Unstable. Please Show Supporting Work: 1) H(s) = s? + 10s + 5 = 0 Stable Unstable 11) H(s) = s4 +53 + 5s2 + 20s + 10 = 0 Stable Unstable 111) H(s) = 83 + 4Ks2 + (5 + K)s + 10 = 0 The Range of K for a Stable System is: a. b. K > 0.46 K< 0.46 0<K <0.46 Unstable for all...
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