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# homework - Homework Assignments Homework 1 Problem 3.3 3.5...

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Unformatted text preview: Homework Assignments Homework 1: Problem 3.3, 3.5, 3.7, 3.8 on page 152-153. Due: 2:40 pm of September 3, 1999 in the classroom. Homework 2: 1. Using MATLAB to do partial fraction for solving 3.7, and to nd impulse, step responses for 3.11 with = 0:6 and !n = 10. 2. Solve a c of 3.12 without nding and !, and solve 3.19. Due: 2:40 pm of September 15, 1999 in the classroom. Homework 3: 1. Solve 3.22, 3.23, and 3.24 by converting block diagrams into SFG, and then applying Maison's formula. 2. Solve the gain for each circuit in 2.9 using SFG method. Due: 2:40 pm of September 22, 1999 in the classroom. 1 electric circuits; Find equivalent circuit for 2.7, and draw its SFG; Solve gain for 2.15 using SFG method. will be posted Monday, September 27, 1999. 2 The rst Midterm is scheduled on September 29, 1999. The test is close book, but a table of Laplace transform will be made available to you during the test. Homework 4: Solve 2.1 by converting mechanical systems into Note: 1 There is no deadline for this homework. The solution Homework 5: Solve Prob. 4.1, 4.2, 4.4, and 4.6. Due: 2:40 pm of October 13, 1999. Homework 6: Find the allowable pole locations for the prototype systems with speci cations given by 1 tr 0:5s, Mp 16, and ts 2s. 2 tr 1s, Mp 16, and ts 3s. and solve Prob. 3.28, 3.29 in the textbook. Due: 2:40 pm of October 25, 1999. Homework 7: 4.11, 4.12, 4.13, and 4.14. Due: 2:40 pm of November 1, 1999. 2 Homework 8: 4.24, 4.28 with k1 = 1, 4.30, and plus: Suppose that for the feedback system in Figure 1, 400:1s + 1 1 Gs = 2 s + 5s + 20s + 10s + 4 Design a PID compensator using pole zero cancellation and approximation method to satisfy the performance speci cations: 0:20: Verify your design using MATLAB. Hint: page 24,26 of note6, tr Mp 1s; and the solution to Midterm 2. r(t) D(s) y(t) G(s) n(t) Figure 1: Feedback System Due: 2:40 pm of November 15, 1999. Homework 9: Problems 4.43, 4.44, 4.45 in the book, plus the following: Suppose tha the plant is given by s + 100 Gs = : s + 12s2 + 4s + 12 Design a PID compensator Ds for the negative unity feedback system to satisfy i ess = 0 for step inputs, and ess 0:2 for unit ramp input; ii P.O. 15, and rise time tr 0:3 second. 3 Due: Nov. 29, 1999. 4 ...
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