Jun 8, 2010 ... Signals and Systems: Analysis Using Transform Methods and MATLAB® - M. J.
Roberts. Chapter 10: Laplace Transform Analysis of Signals ...
Signals and Systems: Analysis Using Transform Methods and MATLAB® - M. J. Roberts Chapter 10: Laplace Transform Analysis of Signals and Systems 8 Jun, 2010
HW8
1
EE470 Section AA
Chapter 10, Problem 32. Find the s-domain transfer functions for the circuits below and then draw block diagrams for them as systems with Vi (s) as the excitation and Vo ( s) as the response. b.
d.
Chapter 10, Problem 33. Determine whether the systems with these transfer functions are stable, marginally stable or unstable.
Signals and Systems: Analysis Using Transform Methods and MATLAB® - M. J. Roberts Chapter 10: Laplace Transform Analysis of Signals and Systems 8 Jun, 2010 Chapter 10, Problem 43.
HW8
2
EE470 Section AA
Plot the unit step and ramp responses of unity-gain feedback systems with these forward-path transfer functions. 20 a. H 1( s) = s( s + 2)(s + 6)
Chapter 10, Problem 44. Draw pole-zero diagrams of these transfer functions. a.
H(s) =
(s + 3)(s − 1) s (s + 2)( s + 6)
c.
H(s) =
s(s + 10) s + 11s + 10
d.
H (s) =
1 (s + 1)(s + 1.618 + 1)(s2 + 0.618 + 1)
2
2
Chapter 10, Problem 45. A second-order system is excited by a unit step and the response is as illustrated in Figure E0. Write an expression for the transfer function of the system.
Signals and Systems: Analysis Using Transform Methods and MATLAB® - M. J. Roberts Chapter 10: Laplace Transform Analysis of Signals and Systems 8 Jun, 2010
HW8
3
EE470 Section AA
Figure E0 Step response of a second-order system. Chapter 10, Problem 46. For each of the pole-zero plots below determine whether the frequency response is that of a practical lowpass, bandpass, highpass or bandstop filter. a.
