EE 302 Introduction to Feedback Systems
HW 1, Spring 2010
Problem 1 a) Shown in the figure is a fluidcoupled mechanical rotational system. Torque is applied to the cylinder having inertia J1. Energy coupled to inertia J2 through the viscosity B1. Write th
EE302 HW5 Deadline: 22.04.2010
1. Solve the following problem.
2. Solve the following problem.
3. Solve the following problem.
4. Solve the following problem.
EE302 HW8 Q1. Consider the following system: . y + 4 + 5y + 2y = 5u + u . y
Solution
Obtain controllable canonical, observable canonical, and (if possible) diagonal canonical state space representations. Soln. The transfer function of the system is Y (s)
EE302 HW8 Q1. Consider the following system: . y + 4 + 5y + 2y = 5u + u . y
Due: 28 May 2010
Obtain controllable canonical, observable canonical, and (if possible) diagonal canonical state space representations. Q2. Consider the following system: ] [] 1
EE 302 Home work 6 Due April 29, 2010
Problem 1 a) Consider the following circuit. Draw the Nyquist plot for i) R1C1 > R2C2 and for ii) R1C1 < R2C2 . For each of these to cases in i) and ii) answer the following question analytically : what is the contrib
EE302 HW4
Solution
Q1. Sketch root loci (by obtaining all relevant features) as K : 0 for the unity feedback closed-loop systems with open-loop transfer functions given below. s+3 (a) G(s) = K 2 + 2s + 2) s(s s+2 (b) G(s) = K 4 s 1 (c) G(s) = K (s + 1)2 s
EE302 HW4
Due: 8 April 2010
Q1. Sketch root loci (by obtaining all relevant features) as K : 0 for the unity feedback closed-loop systems with open-loop transfer functions given below. s+3 (a) G(s) = K 2 + 2s + 2) s(s (b) G(s) = K (c) G(s) = K s+2 s4 1 (s
EE 302 Home work 3 Due April 1, 2010 1. The pole locations of four second-order systems in standard form are given below. The transient behaviors of these systems are to be compared considering their unit step responses. Make the below comparisons (greate
EE 302 HW7 (Spring 2009-2010)
1-)
2-)
3-)
4-)
5-)
6-)
7-)
8-) Consider the unity feedback system below (inverted pendulum)
G ( s) = 1 ( s 1)
2
a. Design a lead compensator to achieve a PM of 300 using Bode plot sketches. Then verify your design using MATL
EE 302 HOMEWORK 2 Problem 1: Consider the mechanical system given in fig 1. Express the damping factors and the natural frequencies based on the physical parameters of the given system. Analyze the transient response of this system to a step input force.
EE302 HW1
Solution
Q1. Consider the servomechanism in Fig. 1 where the eld current of the DC motor is assumed to be constant. Let the input be the reference angle i and the output be , the angular position of the load. The box denoted by produces voltage