EEM 493 Digital Control Systems Homework V QUESTIONS 1 ...

amaranthgymnophoriaElectronics - Devices

Nov 15, 2013 (3 years and 4 months ago)

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EEM 493 Digital Control Systems
Homework V
QUESTIONS
1) Consider the system below:
x(k +1) =


1.5 −0.5
1 0


x(k) +


1
0


u(k)
y(k) =
h
0 1
i
x(k)
a) For the state space system above,design a full state feedback controller
such that the closed loop system has poles at z
1,2
= −2 ∓j2
b) Design a predictor estimator such that both error dynamics poles at z = 0
2) Consider the systembelow with T=1s.Let the digital controller be a variable
gain K such that D(z) = K.
a) Write the closed loop system characteristic equation.
b) Use Routh-Hurwitz test to find the range of K for stability.
c) Use Jury test to find the range of K for stability.
1
3) For the systembelow,find C(z) as a function of the input and the transfer
functions shown.
2