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lecture 19

# lecture 19 - the unit step response will be much higher...

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1 Analysis of discrete time control systems using the Root locus The characteristic equation is: 0 ) ( 1 = + z F Design of Discrete-time control system in z domain Angle and Magnitude conditions: ) 1 2 ( 180 ) ( 1 | ) ( | 0 + ± = = k z F z F General procedure for constructing RL is the same as used in s domain.

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2 Example 1: Effect of sampling period T on transient response characteristics Note: For a given K, increasing the sampling period T will make the discrete-time control system less stable and eventually will make it unstable. In the second order system, is indicative of the relative stability only if the sampling frequency is sufficiently high. If the sampling frequency is not high enough, the maximum overshoot in

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Unformatted text preview: the unit step response will be much higher than it would be predicted by the . Î¶ 3 If the sampling frequency is high, a plot of c(kT) is very similar to c(t). It is not otherwise. Increasing sampling period T adversely affect the systemâ€™s relative stability. A rule of thumb is to sample eight to ten times during a cycle of the damping sinusoidal oscillations of the output of the closed-loop system, if it is underdamped. For overdamped systems, sample eight to ten times during the rise time in the step response. 4 Design discrete time control systems using Root locus Example 2....
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lecture 19 - the unit step response will be much higher...

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