Abstract elementary class - Revision history

en>Yobot: WP:CHECKWIKI error fixes using AWB (10458)

2014-09-13T07:56:58Z

WP:CHECKWIKI error fixes using AWB (10458)

← Older revision		Revision as of 09:56, 13 September 2014
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	~~The controller parameters are typically matched to the [[Process (engineering)\|process]] characteristics~~ and ~~since the process may change, it is important that the controller parameters~~ are chosen in such a way that the [[Control theory#Closed-loop_transfer_function\|closed loop]] system is not sensitive to variations in process dynamics. One way to characterize sensitivity is through the nominal sensitivity peak <math>M_s</math>:<ref>K.J. Astrom and T. Hagglund, PID Controllers: Theory, Design and ~~Tuning, 2nd ed. Research Triangle Park, NC 27709, USA: ISA - The Instrumentation, Systems, and Automation Society, 1995~~.<~~/ref~~>		Im Homer and was born on 22 June 1989. My hobbies are Book collecting and Geocaching.<br><br>Here is my web site ... [http://www.tipsofthedays.com/profile/stlus Womens mountain bike sizing.]

	<~~math~~>~~M_s = \max_{0 \leq \omega < \infty} \left\| S(j \omega) \right\| = \max_{0 \leq \omega < \infty} \left\| \frac{1}{1 + G(j \omega)C(j \omega)} \right\|</math>~~

	~~where <math>G(s)</math> and <math>C(s)</math> denote the plant and controller's transfer function in a basic closed loop control System, using unity negative feedback.~~

	~~The sensitivity function <math>S</math>, which appears in the above formula also describes the transfer function from measurement noise to process output, where measurement noise~~ is ~~fed into the system through the feedback and the process output is noisy~~. ~~Hence, lower values of <math>\|S\|</math> suggest further attenuation of the measurement noise~~. ~~The sensitivity function also tells us how the disturbances are influenced by feedback~~. Disturbances with frequencies such that <math>\|S(j \omega)\|</math> is less than one are reduced by an amount equal to the distance to the critical point <math>-1</math> and disturbances with frequencies such that <math>\|S(j \omega)\|</math> is larger than one are amplified by the feedback.<ref>K.J. Astrom, "Model uncertainty and robust control," in Lecture Notes on Iterative Identification and Control Design. Lund, Sweden: ~~Lund Institute of Technology, Jan. 2000, pp. 63–100.<~~/~~ref>~~

	[[Image:BasicClosedLoop.jpg\|thumb\|center\|upright=3.0\|alt=A basic closed loop control System, using unity negative feedback. C(s) and G(s) denote compensator and plant transfer functions, respectively.\|A basic closed loop control System, using unity negative feedback. C(s) and G(s) denote compensator and plant transfer functions, respectively.]]

	~~It is important that the largest value of the sensitivity function be limited for a control system and it is common to require that the maximum value of the sensitivity function, <math>M_s<~~/~~math>, be in a range of 1~~.~~3 to 2~~.

	~~==Sensitivity Circle==~~
	~~The quantity <math>M_s<~~/~~math> is the inverse of the shortest distance from the [[Nyquist plot\|Nyquist curve]] of the loop transfer function to the critical point <math>-1<~~/~~math>~~. A sensitivity <math>M_s</math> guarantees that the distance from the critical point to the Nyquist curve is always greater than <math>\frac{1}{M_s}</math> and the Nyquist curve of the loop transfer function is always outside a circle around the critical point <math>-1</math> with the radius <math>\frac{1}{M_s}</math>, known as the '''sensitivity circle'''.

	~~==References==~~
	~~<references/>Ms define the maximum value of the sensitivity function and inverse of Ms tells the shortest distance from the L(jw) to the critical point -1.~~

	~~==See also==~~
	* [[Control theory]]
	* [[Control engineering]]
	* [[Robust control]]
	* [[PID controller]]

	~~{{DEFAULTSORT:Sensitivity}}~~
	~~[[Category:Control theory]~~]

en>ChrisGualtieri: General Fixes using AWB

2013-10-26T00:50:50Z

General Fixes using AWB

← Older revision		Revision as of 02:50, 26 October 2013
Line 1:		Line 1:
	~~We reserve~~ the ~~right to include advertising on our site, including Kontera links~~ and ~~Google Ads. Most companies offer their services online~~, ~~thus you will easily find these services by just surfing~~ the ~~Internet. The scholarship essay~~ that ~~you write~~ is ~~supposed~~ to ~~present you well and thus should be detailed and giving reasons as~~ to ~~why you should be awarded~~ the ~~scholarship~~. ~~We strive to be a world essay writing company through providing quality services at a price which is equivalent with our services~~. ~~After all~~, ~~they aren~~'~~t cheating by~~ using ~~an academic writing service~~. <br><br>~~Custom essay writing services delivers referenced essays. This is looked down upon as one of~~ the ~~major causes of getting bad grades. Contrary~~ to ~~early reports from~~ the ~~Washington POST,~~ the ~~SAT essay is not dead yet. The introduction should be one that immediately grabs your reader's attention. They should be followed~~ and ~~tweaked so that you are producing~~ the ~~quality content your readers deserve~~. <br><br>~~Since you were admitted for college, you may have been missing free time to engage with other activities simply because~~ of the ~~hardships in your writings~~. ~~Descriptive essays, as~~ the ~~name indicate~~ are ~~used to provide a vivid description of a person, place or thing~~. ~~Well, lucky for you several online writing service providers can help you do your homework on time. This is to ensure writers who provide you~~ with ~~services are qualified. When~~ such ~~a company must write my essay for me I make certain~~ that ~~I buy the best offer.~~ <br><br>~~Learn more about~~ the ~~process regarding medical school admissions requirements. Here in this article you can get some of the important tips that can help you~~ to ~~write an effective essay; effective in~~ the ~~sense~~ that the ~~reader will get attracted towards the writing, so your writing should be in so much expert format~~. ~~This is carried out in order to make sure that the essays have acquired the expected high quality standards~~. ~~Associating your concepts with solid legal terms is what the examiner looks for~~. ~~If you have any thoughts concerning wherever~~ and ~~how to use [http~~:~~//vcsc~~.cs.uh.~~edu~~/~~second-computing/view_profile~~.~~php?userid~~=~~5782085 do my essay cheap]~~, ~~you can call us at our web site~~. ~~Adult material relating to sex~~, ~~sex toys~~, ~~escorts or prostitution~~. <br><br>~~Write~~ a ~~quick schedule~~ to ~~help you allocate your time wisely: list~~ the ~~days you have left and~~ the ~~time during~~ the ~~day you will be able~~ to ~~work~~. ~~The company has employed professional company writers who are trained on how~~ to ~~write academic documents in all academic areas. This~~ is ~~not often an easy program to enroll into because it~~ is ~~targeted by very many students world wide~~. ~~Essay writing is an art~~ of ~~expressing views in a more descriptive~~ and ~~efficient manner. You should conclude~~ the ~~essay by focusing on~~ the ~~main purpose of~~ the ~~essay~~.		The controller parameters are typically matched to the [[Process (engineering)\|process]] characteristics and since the process may change, it is important that the controller parameters are chosen in such a way that the [[Control theory#Closed-loop_transfer_function\|closed loop]] system is not sensitive to variations in process dynamics. One way to characterize sensitivity is through the nominal sensitivity peak <math>M_s</math>:<ref>K.J. Astrom and T. Hagglund, PID Controllers: Theory, Design and Tuning, 2nd ed. Research Triangle Park, NC 27709, USA: ISA - The Instrumentation, Systems, and Automation Society, 1995.</ref>

			<math>M_s = \max_{0 \leq \omega < \infty} \left\| S(j \omega) \right\| = \max_{0 \leq \omega < \infty} \left\| \frac{1}{1 + G(j \omega)C(j \omega)} \right\|</math>

			where <math>G(s)</math> and <math>C(s)</math> denote the plant and controller's transfer function in a basic closed loop control System, using unity negative feedback.

			The sensitivity function <math>S</math>, which appears in the above formula also describes the transfer function from measurement noise to process output, where measurement noise is fed into the system through the feedback and the process output is noisy. Hence, lower values of <math>\|S\|</math> suggest further attenuation of the measurement noise. The sensitivity function also tells us how the disturbances are influenced by feedback. Disturbances with frequencies such that <math>\|S(j \omega)\|</math> is less than one are reduced by an amount equal to the distance to the critical point <math>-1</math> and disturbances with frequencies such that <math>\|S(j \omega)\|</math> is larger than one are amplified by the feedback.<ref>K.J. Astrom, "Model uncertainty and robust control," in Lecture Notes on Iterative Identification and Control Design. Lund, Sweden: Lund Institute of Technology, Jan. 2000, pp. 63–100.</ref>

			[[Image:BasicClosedLoop.jpg\|thumb\|center\|upright=3.0\|alt=A basic closed loop control System, using unity negative feedback. C(s) and G(s) denote compensator and plant transfer functions, respectively.\|A basic closed loop control System, using unity negative feedback. C(s) and G(s) denote compensator and plant transfer functions, respectively.]]

			It is important that the largest value of the sensitivity function be limited for a control system and it is common to require that the maximum value of the sensitivity function, <math>M_s</math>, be in a range of 1.3 to 2.

			==Sensitivity Circle==
			The quantity <math>M_s</math> is the inverse of the shortest distance from the [[Nyquist plot\|Nyquist curve]] of the loop transfer function to the critical point <math>-1</math>. A sensitivity <math>M_s</math> guarantees that the distance from the critical point to the Nyquist curve is always greater than <math>\frac{1}{M_s}</math> and the Nyquist curve of the loop transfer function is always outside a circle around the critical point <math>-1</math> with the radius <math>\frac{1}{M_s}</math>, known as the '''sensitivity circle'''.

			==References==
			<references/>Ms define the maximum value of the sensitivity function and inverse of Ms tells the shortest distance from the L(jw) to the critical point -1.

			==See also==
			* [[Control theory]]
			* [[Control engineering]]
			* [[Robust control]]
			* [[PID controller]]

			{{DEFAULTSORT:Sensitivity}}
			[[Category:Control theory]]

151.201.35.138: fixing formatting /* Examples */

2012-05-16T17:26:28Z

fixing formatting Examples

New page

We reserve the right to include advertising on our site, including Kontera links and Google Ads. Most companies offer their services online, thus you will easily find these services by just surfing the Internet. The scholarship essay that you write is supposed to present you well and thus should be detailed and giving reasons as to why you should be awarded the scholarship. We strive to be a world essay writing company through providing quality services at a price which is equivalent with our services. After all, they aren't cheating by using an academic writing service. Custom essay writing services delivers referenced essays. This is looked down upon as one of the major causes of getting bad grades. Contrary to early reports from the Washington POST, the SAT essay is not dead yet. The introduction should be one that immediately grabs your reader's attention. They should be followed and tweaked so that you are producing the quality content your readers deserve. Since you were admitted for college, you may have been missing free time to engage with other activities simply because of the hardships in your writings. Descriptive essays, as the name indicate are used to provide a vivid description of a person, place or thing. Well, lucky for you several online writing service providers can help you do your homework on time. This is to ensure writers who provide you with services are qualified. When such a company must write my essay for me I make certain that I buy the best offer. Learn more about the process regarding medical school admissions requirements. Here in this article you can get some of the important tips that can help you to write an effective essay; effective in the sense that the reader will get attracted towards the writing, so your writing should be in so much expert format. This is carried out in order to make sure that the essays have acquired the expected high quality standards. Associating your concepts with solid legal terms is what the examiner looks for. If you have any thoughts concerning wherever and how to use [http://vcsc.cs.uh.edu/second-computing/view_profile.php?userid=5782085 do my essay cheap], you can call us at our web site. Adult material relating to sex, sex toys, escorts or prostitution. Write a quick schedule to help you allocate your time wisely: list the days you have left and the time during the day you will be able to work. The company has employed professional company writers who are trained on how to write academic documents in all academic areas. This is not often an easy program to enroll into because it is targeted by very many students world wide. Essay writing is an art of expressing views in a more descriptive and efficient manner. You should conclude the essay by focusing on the main purpose of the essay.