2. Sketch the general shape of the root locus for each of the open-loop pole-zero plots shown in Figure P8.2. [Section: 8.4] jo) s-plane ° ja) *s-plane (a) (b) *s-plane * 3-plane (c) (d) jav ja) s-plane splane
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- Sketching Root Locus warm-up (do all by hand): 8.1, 8.2, 8.3 1. For each of the root loci shown in Figure P8.1, tell whether or not the sketch can be a root locus. If the sketch cannot be a root locus, explain why. Give all reasons. [Section: 8.4] s-plane -plane FIGURE P8.1 *O** 8 (a) joe s-plane 3-plane 8 (e) Double pole (d) X-plane × (e) je 8 ja) s-plane 8 (8) s-plane 8 s-plane2- Using Matlab, what are the step response curves of the closed-loop system, as shown in fig.1. the feedback represents the second-order dynamic system. (fill in the following table) For=0.4 Wn 1 3 6 9 10 R(S) 0.1 0.3 0.6 0.9 1 For w 5 rad/sec 3 Settling time Peak response 2 Wn s(s+23wn) Settling time Peak response C(s) Discuss the follow Which parameters or w occur on the rise time of the response? Which parameter increases the speed of response? Which parameters can be decreases the response amplitude? Which parameter decreases the steady error state? fig.2Please help me .. answer my Question , I don't want to quote or plagiarize, don't use your handwriting just use MS Word .
- Construct the Bode plots of the following transfer functions. Indicate Gain Margin and Phase Margin of the systems. a) b) 8 s(1.25s + 1)(s+2) 1.6 (s+0.4)(s+0.8) (s + 1)The eigenvectors (v), and (v), of the following system: 6.0000 0.0000 (0.0000 4.0000 87.0000 -56.0000 (x))+ -56.0000 56.0000 {x(t)} 0 are, 0.7592 -0.7932 1.0000 1.0000 0.9784 1.0000 1.0000 -0.9784 0.2265 -0.2366 1.0000 1.0000 1.2049 -1.2587 1.0000 1.0000Consider the following Initial Value Problem (IVP) dy /at = -t * sin (y); y(t = 0) =1 Solve for y(t=0.5) using a) Forward Euler method with At = 0.25. (Solve by hand) Develop a Matlab script that solves for y (t = 5) using Forward Euler method. Use the time step levels given below and plot t vs y in the same plot. Include the plot with the right format (axis labels, legends, ...) in your solution sheet and include your Matlab script in the solution as well. i) At = 0.25 ii) At = 0.125 b) Backward Euler method with At = 0.25 (Solve by hand)
- Required information Use the following transfer functions to find the steady-state response yss() to the given input function f(t). NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. T(-) Y(s) F(s) s(e) 10 b. = 9 sin 2t s²(s+1) ' The steady-state response for the given function is yss() = | sin(2t + 2.0344).I want to code the extended kalman filter in MATLAB of the following falling body problem.Match the transfer function with correct Bode phase plots. G(s) = 5 $+7 G(s)=s+5 G(s) = s+10 S S G(s) = S+ 10 QUESTION 10 90 deg 00 0 deg -90 deg 180 deg B. D 90 deg @ 0 deg -90 deg 180 deg 90 deg @ 0 deg -90 deg 180 deg 90 deg @ 0 deg -90 deg 180 deg
- The characteristic equation for a generic homogeneous second order ODE, can be given in the following form: ap²+bp+c=0 Match each root locus plot (A - F) to the correct set of coefficients (a,b,c) of the polynomial. Root Locus 10 8 6 Root Locus 10 8 6 Root Locus 10 8 6 { -8 -10 -10 -10 -10 -5 0 5 10 -10 -5 0 5 10 -10 -5 0 5 10 Real 10 8 6 2 0 Root Locus 10 8 6 4 2 Real Root Locus 10 8 6 Real Root Locus €Ð+ -8 -10 -5 0 5 10 -10 -5 0 5 10 -10 -5 0 5 10 Real Real Real Polynomials a=x,b=0.5,c=3, x= [0,2] a = 1,b=7.2*x, c = 12.96, x = [0, 1.1] a=0.1,b=0.5,c=x, x= [0,3] a = 1,b=1.4*x,c = x², x = [0, 10] a=x,b=1,c=3, x= [0,0.5] a=1,b=13.2*x,c=43.56, x = [0,1.1] Root LocusMy Solutions > Lower Colorado River (Problem 11.12 in Chapra) The Lower Colorado River consists of a series of four reservoirs as shown in Fig. P11.12 in the textbook. Mass balances can be written for each reservoir, and the following set of simultaneous linear algebraic equations results: [ 13.422 0 00; -13.422 12.252 0 0; 0 -12.252 12.377 0; 00-12.377 11.797] * [C_1, c_2, c_3, c_4]' = [750.5, 300, 102, 30] where the right-hand-side vector consists of the loadings of chloride to each of the four lakes. The variables c_1, c_2, c_3, and c_4 are the resulting chloride concentrations for Lakes Powell, Mead, Mohave, and Havasu, respectively. Given this information, complete the following tasks: (a) Use the matrix inverse to solve for the concentrations in each of the four lakes. (b) How much must the loading to Lake Powell be reduced for the chloride concentration of Lake Havasu to be 75? (c) Using the matrix 2-norm (spectral norm), compute the condition number and how many suspect digits…I need answer in handwritten