PPT-ME190L Nyquist Stability Criterion

UC Berkeley Fall 2010 httpjaggermeberkeleyedupackme190L Copyright 200710 Andy Packard This work is licensed under the Creative Commons Attribution ShareAlike License To view a copy of this license visit . N Puri ECE Department Rutgers University 1 Nyquist Theorem Given a closed loop system rt ct KG KG 1 KG KN KN The order of denominator polynomial KG Open Loop Transfer Function Open Loop Characteristic polynomial with unstable roots unstab Nyquist olar plots olar plot of the frequency resp onse pro duces curv with frequency as parameter relating the oin ts on the olar plot to the appropriate oin ts on the Bo de plots see Fig 1 The Nyquist plot con tains the same information as the Bo An alternative to factoring the denominator polynomial Rouths stability criterion determines the number of closed loop poles in the righthalf plane Algorithm for applying Rouths stability criterion The algorithm described below like the stability cr The 64257rst criterion was that each pulse is zero at the sampling time of other pulses 0 kT k Harry Nyquist Certain topics in telegraph transmission t heory Trans AIEE Apr 1928 EE 179 May 16 2014 Lecture 20 Page 1 brPage 2br Pulse Shaping sinc December 4 2002 1993 Thomas H Lee All rights reserved Page 1 of 12 The Nyquist Stability Test 10 Introduction With negative feedback the closedloop transfer function approaches the reciprocal of the feedback gain as the magnitude of increases Thi DIGITAL COMMUNICATION. In Binary:. Each pulse holds 1 bit. 1 bit per . T. 0. . .  . . bit . per sec. (bit rate. ). .  . .  . To . increase the data rate by . k . .  . .  . Systems (BCS). Module Leader: Dr Muhammad . Arif. Email: . muhammadarif. 13. @hotmail.com. Batch: . 10. BM . Year: . 3. rd. Term: . 2. nd. . Credit Hours (Theory): . 4. Lecture Timings: Monday (. 12:00-2:00. Irfan. . Khawaja. Socratic Discussion Forum. Felician. College. March 28, 2011. My topic today (and what it doesn’t cover). My topic is Singer’s argument against the original U.S. decision to go to war against Al Qaeda and the Taliban in Sept 2001 based on his use of the last resort criterion of just war . Department of Mechanical, Industrial and Manufacturing Engineering. University of Toledo. Loop Transfer Function. -1. Real. Imaginary. Plane of the Open Loop . Transfer Function . B(0). B(. i. w. ). -1 is called the . Routh . Herwitz. Stability Criterion. Routh-Hurwitz Stability Criterion. It . is a method for determining continuous system . stability.. It can tell whether there are roots in the RHP of the characteristic polynomial of a control system without solving it.. Department of Mechanical, Industrial and Manufacturing Engineering. University of Toledo. Stability Margins. Outline of Today’s Lecture. Review. Open Loop System. Nyquist. Plot. Simple . Nyquist. Theorem. - Steven A. . Balbus. (1995). The Second Law. T . dS. = . dQ. = -. L. . dt. Where . L. . = cooling loss function (ergs/. s·g. ). The instability criterion. If . δ. S and . δ. (. L. /T) have the same sign, then the parcel of gas tends to return to the background entropy. If they have different signs, then the parcel continues to evolve away from the background condition.. 1. A very important consideration in data communications is how fast we can send data, in bits per second, over a channel. Data rate depends on three factors:. 1.. The bandwidth available. 2.. Guideline Criterion Referenced Grading GRADEPOINTS very little about what Sources / Articles OConnor K 2002 How to Grade for Learning Glenview IL Pearson Education