# Digital Control

Digital control is a branch of control theory that uses digital computers to act as system controllers. Depending on the requirements, a digital control system can take the form of a microcontroller to an ASIC to a standard desktop computer. Since a digital computer is a discrete system, the Laplace transform is replaced with the Z-transform. Since a digital computer has finite precision (See quantization), extra care is needed to ensure the error in coefficients, analog-to-digital conversion, digital-to-analog conversion, etc. are not producing undesired or unplanned effects.

Since the creation of the first digital computer in the early 1940s the price of digital computers has dropped considerably, which has made them key pieces to control systems because they are easy to configure and reconfigure through software, can scale to the limits of the memory or storage space without extra cost, parameters of the program can change with time (See adaptive control) and digital computers are much less prone to environmental conditions than capacitors, inductors, etc.

from Digital Control - Wikipedia

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## EGGN 510 - Lecture 02-1 Digital Image Fundamentals

9 min
Beginner
Video
Theory

This is a video lecture of EGGN 510 Image and Multidimensional Signal Processing by William Hoff.

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## DSP Related

Beginner
Article / Blog
Application

Website with a lot of good content for any DSP scientists, researchers, and developers.

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## DSP Lecture 1: Signals

66 min
Beginner
Video
Theory

This is a video lecture for ECSE-4530 Digital Signal Processing by Rich Radke, Rensselaer Polytechnic Institute.

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## Sending digital information over a wire | Networking tutorial (1 of 13)

4 min
Beginner
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Theory

This video lecture is the beginning of an exploration of computer networking with the basics of sending digital information with a copper wire.

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## Discrete control #1: Introduction and overview

22 min
Beginner
Video
Theory

So far I have only addressed designing control systems using the frequency domain, and only with continuous systems. That is, we’ve been working in the S domain with transfer functions. We...

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## Discrete control #6: z-plane warping and the bilinear transform

25 min
Beginner
Video
Theory

We’re continuing our journey through discrete control and in this video, we’re going to expand our understanding of the bilinear transform. Along the way, we’ll learn about how this...

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## Controllability and the Discrete-Time Impulse Response [Control Bootcamp]

5 min
Beginner
Video
Theory

This lecture derives the impulse response for a discrete-time system and relates this to the controllability matrix.

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## Discrete control #5: The bilinear transform

15 min
Beginner
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Theory

This is video number five on discrete control and here, we’re going to cover the famous and useful bilinear transform. The bilinear transform is yet another method for converting, or mapping...

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## Discrete control #4: Discretize with the matched method

14 min
Beginner
Video
Theory

This is the fourth video on discrete control and in this video we are going to continue exploring the different techniques we can use to discretize a continuous system and talk about the...

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## Discrete control #3: Designing for the zero-order hold

13 min
Beginner
Video
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This is the third video on discrete control and in this video, I want to clear up a confusion that I caused last time regarding using the ZOH method to discretize a continuous controller and...

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## Discrete control #2: Discretize! Going from continuous to discrete domain

24 min
Beginner
Video
Theory

This is the second video in the discrete control series. It focuses on discretizing a continuous system - getting to the z-domain from the s-domain.

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## Discrete-Time Dynamical Systems

9 min
Intermediate
Video
Theory

This video shows how discrete-time dynamical systems may be induced from continuous-time systems.

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