MODERN CONTROL FINAL EXAM
2005/1/12
1. Derive state models for the following system ,
and design the full-state feedback gain
matrix K to place the closed-loop pole at –2
+2j.
2. Consider the linear system described by
If we change the state variables to obey the
relationshipand what is the state-space
representation in the state?
3. A dc motor control system has the form shown in Fig
(1). The three state variables are available for
measurement (X1 is position; X2 is velocity and X3
is field current); the output position is X1(t). Select
the feedback gains so that the system has damping
ratio 0.8 with 2 second settling time. Furthermore,
if we consider designing a compensator that
provides asymptotic tracking of a reference input
with zero steady-state error, what should we do?
4. Determine and explain this state model is
uncontrollable or unobservable ?
5. Please explain the observer design procedure as
possible as you can.
GOOD LUCK AV8D !!
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