Digital Control Systems;Please solve step-by step and clearly. Thanks.Consider the open loop system GH(z)= 1 / (z-0.5)(z-1)2 and closed-loop control architecture illustrated in Figure 2. a)Design a discrete controller (D(z)) that assigns the closed-loop system poles to z1=0.125, z2=0.2 and the rest poles z=0 .b)Propose an additional controller to the structure given in Figure 2 in order to eliminate the impacts of the closed-loop system zeros. Obtain the transfer function of the introduced controller architecture.(Hint:Prefilter) Consider the open loop system GH(z)=and closed-loop control architecture(z-0.5)(z-1)*illustrated in Figure 2.Discrete ControllerSystemR(2)C(2)D(2)GH(2)Figure 2. Discrete closed-loop control system.a) Design a discrete controller ( D(z) ) that assigns the closed-loop system poles to z, = 0.125, z, = 0.2 andthe rest poles to z= 0.b)Propose an additional controller to the structure given in Figure 2 in order to eliminate the impacts of theclosed-loop system zeros. Obtain the transfer function of the introduced controller architecture.(Hint:Prefilter)

Solution (a) Given : Open loop system GH(z) = 1(z-0.5)(z-1)2 Poles of closed loop system z1 =…

Answered: Digital Control Systems;Please solve…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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Digital Control Systems;Please solve step-by step and clearly. Thanks.

Consider the open loop system GH(z)= 1 / (z-0.5)(z-1)² and closed-loop control architecture illustrated in Figure 2.

a)Design a discrete controller (D(z)) that assigns the closed-loop system poles to z₁=0.125, z₂=0.2 and the rest poles z=0 .
b)Propose an additional controller to the structure given in Figure 2 in order to eliminate the impacts of the closed-loop system zeros. Obtain the transfer function of the introduced controller architecture.(Hint:Prefilter)

Consider the open loop system GH(z)=
and closed-loop control architecture
(z-0.5)(z-1)*
illustrated in Figure 2.
Discrete Controller
System
R(2)
C(2)
D(2)
GH(2)
Figure 2. Discrete closed-loop control system.
a) Design a discrete controller ( D(z) ) that assigns the closed-loop system poles to z, = 0.125, z, = 0.2 and
the rest poles to z= 0.
b)Propose an additional controller to the structure given in Figure 2 in order to eliminate the impacts of the
closed-loop system zeros. Obtain the transfer function of the introduced controller architecture.(Hint:Prefilter)

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