a) Find the diserete equivalent to the cinaloa ? PID controller Be sampling period I-2. b) Canvert the discrete trons fer function into a Causal discrete differen ce equatium
a) Find the diserete equivalent to the cinaloa ? PID controller Be sampling period I-2. b) Canvert the discrete trons fer function into a Causal discrete differen ce equatium
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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![**Problem Statement:**
**a)** Find the discrete equivalent to the analog PID controller:
\[
\frac{U(s)}{E(s)} = D(s) = k_p + \frac{k_I}{s} + k_D \cdot s
\]
Use sampling period \( T_s = 2 \).
**b)** Convert the discrete transfer function into a *causal* discrete difference equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5312a15-860e-407c-ae9e-8729c86c8316%2F0f94ca65-d890-4107-8b3d-5f645bbdd98d%2Fkx5h2o_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
**a)** Find the discrete equivalent to the analog PID controller:
\[
\frac{U(s)}{E(s)} = D(s) = k_p + \frac{k_I}{s} + k_D \cdot s
\]
Use sampling period \( T_s = 2 \).
**b)** Convert the discrete transfer function into a *causal* discrete difference equation.
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