3. The input and output corresponding to the steady (vibratory) response of a first order system...
The plot below shows the input (solid line) and output (dashed line) of a linear system being excited with a sine wave. The horizontal axis is time in seconds. 3 2 I- Input Output -2 2 1.2 1.4 1.6 1.8 0 0.2 0.4 0.6 0.8 Time [s What is the frequency of the sine wave in Hz? What is the gain of the system at this frequency (straight units) What is the phase shift of the system at this frequency...
For the open loop response shown, find the ZN tuning parameters assuming that the step response change is 10. pR 1.8 1.6 1.4 Assume step response amplitude change 10 A step response 10 1.2 0.8 0.6 APV 0.4 0.2 -0.2 0 1 23 4 5 7 Te d 11 13 15 17 19 From the process reaction curve determine the dead time, td, the time constant or time for the response to change, Tm, the ultimate value that the response...
1) Design a low-pass RC device with the following specifications: a) Input x(t) and output y(t) b) Bandwidth which is defined as the range of frequencies (from 0 Hz to ??, the − 3dB point ) allowed to pass through without significant attenuation = 100Hz c) Static gain = 14dB d) The system has −20 dB/decade rolloff at high frequencies (thus first-order LP filter) Assume that you have one and only one resistor value available to you, and that resistance is...
3. (10pts) Consider the follow population curves that are solutions for the worm-robins from a predictor-prey system 1.8 1.6 1.4 1.2 Rabins 05 1 15 2 3 0.8 0.6 0.4 0.2 2 2.4S Problem 3 10 15 25 Time t (a) There are two trajectories drawn on the left. Which one seems to correspond to the solutions? Indicate the initial point and its moving direction. Explain. the rate of population of either warm or robins is zero. system to complete...
Consider a first-order system with input x(t) and output y(t). Let the time constant be the part of your birth date in the format of day, month (ddmm) in microseconds. Complete the following steps: 1. Write the differential equation representing the system. 2. Derive the transfer function H(s). A Note: Label all graphs appropriately. ddmm 3. Use H(s) with MATLAB to complete the following actions: • Find the poles are zeros. • Find the step response. • Find the impulse...
2). Solve the following first order system response to the ramp function (2t) as described in the equation below. (The initial condition is zero). Derive an expression for the steady state error. At what time does it reach 98% of its value? Plot a graph containing the input and system response. 4x + 2x = 21 2). Solve the following first order system response to the ramp function (2t) as described in the equation below. (The initial condition is zero)....
Problem 5a (10 points): In class, you have derived the response of a first-order system to a unit-step input. Given a first-order system of the form G(s) = K / ( 1 + T s), where T is the time-constant, and K is the constant, find i) The time-response to a unit-ramp input r(t) = t. ii) The steady-state error for error measured as e(t) = r(t) - c(t). (Hint: the steady-state error is measured as t tends to infinity).
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
1: The plot shown below represents the step response of a second-order LTI system (with input (t) and output y(t)) with zero initial conditions. From the step response: (a) Estimate the peak time tp, and the maximum percentage overshoot %Mp. (b) Estimate the natural frequency wn and the damping ratio c. (c) Derive a differential equation corresponding to this system using the results of parts (a) and (b). Step Response X: 085 Y: 1.261 Amplitude 0 0.5 1 1.5 2...
Do problem 5.6 a. Obtain a complete SSR with input u and output h. Derive the system transfer function Go) Zs/u c. Derive the transfer function Y(s)/U(s) where the output is y Obtain a complete SSR for the given system, with input u = v and output 5.3 0.25t +2c-0.6w = 0 5.4 Given the nonlinear first-order system Derive the linear model by performing the linearization about the static equilibrium state a that res when the nominal input is "....