Anna University Important Questions
Anna University Important Questions for Digital Control System ,
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Distinguish between analog and
discrete signalsAnalog signals are continuously vary with time,
frequency and space but discrete signals do not have continuous signal. It
produces output only at different instants.
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What are the advantages of digital
control over conventional control?Flexibility, Wide selection of
control algorithm, integrated control of industrial systems, Future
generation control system.
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What is sampling? How it is achieved?Sampling
is a process of converting continuous signal into discrete signal with proper
selection of sampling period / frequency. Sampling is achieved by sample and
hold device.
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How information loss happens due to
sampling.In practice, signals in control system include low
frequency components carrying useful information, as well as frequency noise
components. The high frequency components appear as low frequency signals due
the aliasing effect, causing a loss of information.
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Obtain the Z transform of e-atsinωtZ
{ e-at x(t) } = X ( z e-at) Z { sinωt } = Z { e-atsinωt
} =
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What is the use of modified Z
transform?The Z transform method determine the transient
responses of sampled –data control systems only at the sampling instant. To
obtain the values of the response between sampling instants, modified Z
transforms are useful. They are also helpful in analyzing sampled data
control systems containing transportation lag.
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Obtain the closed form solution of
state difference equationThe state equation is
The solution for this equation in closed form is |
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When the
losses occur in controllability and Observability?Losses of controllability and Observability due to sampling
may occur only when the continuous time system has oscillary modes and the
sampling interval is half the period of oscillation of an oscillatory mode or
an integer multiple of that period.
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Distinguish
between velocity form and position form of Digital PID algorithm.
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What is pole
placement?Finding the
elements of control gain matrix K so that the roots of the characteristic
equation ( i.e., the poles of the closed loop system ) are in the desired
location is called pole placement. The parameters are iterated in the
compensators to find acceptable closed loop root locations with full state
feedback.
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