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CTM: Digital control Tutorial

• . Discrete Root-Locus The root-locus is the locus of points where roots of characteristic equation can be found as a single gain is varied from zero to infinity.
• . The mechanics of drawing the root-loci are exactly the same in the z-plane as in the s-plane.
• . Recall from the continuous, we used the Matlab function called sgrid to find the root-locus region that gives the right gain (K).
• . For the discrete root-locus analysis, we use the function zgrid that has the same characteristics as the sgrid .
• . The following commands draws the root-locus with the lines of constant damping ratio and natural frequency.
• . Running this m-file should give you the following root-locus plot.
• . In this example, we do have the root-locus drawn in the desired region.

CTM: Digital Control Example: Cruise Control: Root-Locus
• CTM: Digital Control Example: Cruise Control: Root-Locus Digital Control Example: Designing Cruise Control using Root-Locus method In this digital control version of the cruise control problem, we are going to use the root-locus design method to design the digital controller.
• . numDz = 1.0e-04* 0 0.1999 denDz = 1.0000 -0.9990 From these matrices, the discrete transfer function can be written as Root-Locus in z-plane Recall from the, the Matlab function called zgrid should be used to find an acceptable region of the discrete root-locus that gives the desired gain (K).
• . Let's generate the root-locus and use the zgrid to find the acceptable region of the root-locus.
• . In the above plot, you see that the root-locus is drawn in the desired region.
• . [K, poles]= rlocfind (numDz, denDz) [numcDz, dencDz] = cloop (K*numDz, denDz); U=10; [x] = (U*numcDz, dencDz, 201); figure t=0:0.05:10; stairs (t, x) In the command window, you should see the prompt asking you to select a point on the root-locus.

PlanetMath: Examples of digital roots in a few selected bases
• . | Login name: pass: Main Menu sections meta (175) (6) (2) (374) (136) talkback downloads information Examples of digital roots in a few selected bases (Example) In 10, the of the first few are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, ...
• . Thus, all of 9 have digital root 9 in base 10 (in fact, this is the for 9).
• . A in base 10 can have a digital root of 1, 2, 3, 4, 5, 7 or 8, or put another way, it can't have a digital root of 6 or 9.
• . The of 3 is actually a special case: the only prime with that digital root is 3 itself.
• . All others with digital root of 3 are multiples of 3, and the same goes for 6.
• . A can have a digital root of 1, 4, 7 or 9, while a can have a digital root of 1, 8 or 9.
• . Other show similar patterns in to their digital roots.
• . All for have digital root 9, since from that point forward they are all by 9.
• . All have a digital root 1 in base 10, with the exception of 6.
• . It's possible that if an perfect number exists it might have a different digital root.

Mark's Sysinternals Blog: Sony, Rootkits and Digital Rights Management Gone Too Far
• Advanced Utilities Technical Information Source Code Mark's Sysinternals Blog Sony, Rootkits and Digital Rights Management Gone Too Far Last week when I was testing the latest version of (RKR) I ran a scan on one of my systems and was shocked to see evidence of a rootkit.
• . Rootkits are cloaking technologies that hide files, Registry keys, and other system objects from diagnostic and security software, and they are usually employed by malware attempting to keep their implementation hidden (see my article from thre June issue of Windows IT Pro Magazine for more information on rootkits).
• . The RKR results window reported a hidden directory, several hidden device drivers, and a hidden application:Given the fact that I’m careful in my surfing habits and only install software from reputable sources I had no idea how I’d picked up a real rootkit, and if it were not for the suspicious names of the listed files I would have suspected RKR to have a bug.
• . I immediately ran and to look for evidence of code that would activate the rootkit each boot, but I came up empty with both tools.

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Digital Root Patterns 2
• Teaching Ideas is kindly hosted by: Welcome to Teaching Ideas | Digital Root Patterns 2 > > Subject: Numeracy (Maths) Age Range: 7 to 11 (Continued from here ) When you have worked out the digital roots of each of the multiplication sums, you can make some interesting visual patterns.
• . 5 times table), and make a list of the digital roots (if you haven't done this already): 5 1 6 2 7 3 8 4 9 5 1 6 Look at the first number - find this on the circle diagram.

Digital root - Wikipedia, the free encyclopedia
• The digital root (also Repeated digital sum ) of a number is the number received by adding all the digits, then adding the digits of that number, and then continuing until a single-digit number is reached.
• . For example, the digital root of 65, 536 is 7, because 6 + 5 + 5 + 3 + 6 = 25 and 2 + 5 = 7 Special cases of digital roots of particular numbers are: Digital root of a is 1, 4, 7, or 9 Digital root of a is 1, 8 or 9 Digital root of a (except 3) is 1, 2, 4, 5, 7, or 8 Digital root of a is 1, 2, 4, 5, 7, or 8 Digital root of a (except 6) is 1 Digital root of a is 1 or 4 Digital root of a is 1, 3, 6 or 9 Digital root of a ≥ 6! is 9.
• . Digital roots can be calculated with rather than by adding up all the digits, a procedure that can be a real time saver in the case of very large numbers.
• . Digital roots can be used as a sort of .
• . For example, since the digital root of a sum is always equal to the digital root of the sum of each summand's digital root, somebody adding long columns of large numbers will often find it reassuring to apply to his or her result — knowing that this technique will catch the majority of errors.

digital root: Information From Answers.com
• On this page: digital root digital root It has been suggested that be merged into this article or section.
• . (Discuss ) The digital root of a number is the number received by adding all the digits, then adding the digits of that number, and then continuing until a single-digit number is reached.
• . For example, the digital root of 65, 536 is 7, because 6 + 5 + 5 + 3 + 6 = 25 and 2 + 5 = 7 Special cases of digital roots of particular numbers are: Digital root of a is 1, 4, 7, or 9 Digital root of a is 1, 8 or 9 Digital root of a (except 3) is 1, 2, 4, 5, 7, or 8 Digital root of a is 1, 2, 4, 5, 7, or 8 Digital root of a (except 6) is 1 Digital root of a is 1 or 4 Digital root of a is 1, 3, 6 or 9 Digital root of a ≥ 6! is 9.
• . Digital roots can be calculated with rather than by adding up all the digits, a procedure that can be a real time saver in the case of very large numbers.
• . The formula is: To generalize the concept of digital roots to other bases b , one can simply change the 9 in the formula to b - 1.

DigitalRoot
• | Digital root (English) Search for " Digital root " in | Definition (keystage 2) The digital root of a whole number is what we get when we add up all the digits of the number.
• . For instance, the digital root of 457 is 4+5+7=16.

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digital root@Everything2.com
• Near Matches Ignore Exact digital root ) by (2.4 y) Tue Apr 17 2001 at 19:28:26 To obtain the digital root of a given, add the s of said number.
• . This single-digit is the digital root.
• . The number of times one must step through this additive process to obtain a digital root for a given number n is known as the additive persistence of n .
• . Example: To obtain the digital root of the number 19843, add 1+9+8+4+3 = 25.
• . The digital root is 7 and the additive persistence is 2.
• . Interestingly, if the digital root of a number is divisible by three, the number itself is divisible by three.

Digital Certificate Services
• . Visit the "" page and learn the next steps, policies, and "best practices" you'll need to move forward today with PKI-LITE on your campus, including: and or more about putting the CREN Root Certificate into your browser.
• . Learn about the of the CREN CA and the Root Key Cutting Visit the Key Cutting from November 17, 1999.

Gravity 'Digital Root' Program
• Gravity 'Digital Root' Program Gravity 'Digital Root' Program The following code is a Gravity 'Digital Root' program.
• . The 'digital root' of a number is the number obtained by adding together its digits, and then repeating the process on the result until a single digit remains.
• . When this happens, if there is more input a particle at the origin is created with mass representing the digital root of all the digits read so far.
• . If there is no more input the program outputs the digit root and attempts to read the input, causing it to halt.

SSL Digital Certificate Technical Support - thawte
• worldwide sites: quick login: site search: Download the thawte Root Certificates [ In a world of risk, know who to trust ] Download the thawte Root Certificates Please provide the following information and click "accept" to the thawte Root License agreement to begin the download.
• . first name surname company e-mail address phone THAWTE ROOT CERTIFICATE LICENSE AGREEMENT YOU MUST READ THIS THAWTE ROOT CERTIFICATE LICENSE AGREEMENT ("AGREEMENT") BEFORE APPLYING FOR, ACCEPTING, OR USING A THAWTE ROOT CERTIFICATE.
• . THIS AGREEMENT EXPLAINS THAWTE'S OBLIGATIONS TO YOU, AND YOUR OBLIGATIONS TO THAWTE IN RELATION TO THAWTE ROOT CERTIFICATES PROVIDED TO YOU FOR INCLUSION IN YOUR PRODUCTS.
• . BY CLICKING "ACCEPT" BELOW OR BY ACCEPTING OR USING A THAWTE ROOT CERTIFICATE, YOU AGREE TO BECOME A PARTY TO, AND BE BOUND BY, THE TERMS OF THIS AGREEMENT.
• . 4.2 Root Key Compromise; Revocation.
• . If you become aware of or suspect any unauthorized disclosure of, or loss or control over, sensitive information concerning Thawte's root private keys or other event that adversely affects the integrity of Thawte's data or public key system ("Compromise"), you shall immediately notify Thawte of such Compromise.

• DIGITAL ROOT ?

• Search entire site: Digital root (Encyclopedia) [ Digital root facts from encyclopedia topic] The digital root of a number is the number received by adding all the digits, then adding the digits of that number, and then continuing until a single-digit number is reached.
• . An example is: The digital root of 65, 536 is 6+5+5+3+6 = 25, then 2+5 = 7 Special cases of digital roots of particular numbers are: Digital root of a A hand tool consisting of two straight arms at right angles; used to construct or test right angles [For more facts about this topic, click this link] is 1, 4, 7, or 9 Digital root of a In mathematics, a perfect cube or cube number, is an integer that can be written as the cube (arithmetic) of some other integer....
• . [Follow this hyperlink for a summary of this subject] is 1, 8 or 9 Digital root of a An integer that has no integral factors but itself and 1 [Click link for more facts about this topic] (except 3) is 1, 2, 4, 5, 7, or 8 Digital root of a In mathematics, a power of two is any of the nonnegative integer powers of the number two; in other words, two times itself a certain number of times....

Digital images, Center of Southwest Studies, Fort Lewis College
• . Some of these textiles are also described and drawn in a textiles description ledger (not yet digitized) that was produced by Homer Root at the Center of Southwest Studies several decades ago.
• . Collection M: Homer Root's accession ledgers describing objects in the Fort Lewis College museum (Center of Southwest Studies) The Center of Southwest Studies has digit ized each page of the five carefully drawn colored Fort Lewis College artifacts acces sion ledgers (ca.
• . 1958-1968) describing artifacts (including ancient ceramics and classical textiles) that Homer Root curated at the former Fort Lewis College museum.
• . Root did, in effect, for the pre-computer age what the Colorado Digitization Project is setting out to achieve for the World Wide Web age: improving access to a great variety of collection items by a combination of text and images that are linked in such a way as to present the collection holdings in context.
• . Root described at the end of Volume 5 -- for him, the difficulty was to produce oil drawings and error-free entries on the pages of these bound volumes.