PDF-Nyquist Criterion For Stability of Closed Loop System Prof

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. Check hourslibrarycolumbiaedu for library hour updates Reserve a Group Study room roomreservationsculcolumbiaedu Unattended materials may be relocated given to the security guard or turned in to Lost Found Lost Found locations Circulation Office 3 It is known as Nyquist stability criterion It is based on the complex analysis result known as Cauchys principle of ar gument Note that the system transfer function is complex function By applying Cauchys principle of ar gument to the openloop syste Mapping If we take a complex number on the splane and substitute into a function an other complex number results eg substitut ing 4 3 into 2 1 yields 16 30 Contour Consider a collection of points called a contour A Contour A can be mapped 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. GraphG prof 1 prof 2 prof 3 prof 4 phd 5 stud 6 stud 7 adv adv adv adv adv sup sup GraphI 1 prof 2,3 prof 4 prof 5 phd 6,7 stud adv adv adv sup 1Fortheformaldevelopmentinthispaper,itwillbeconve-nientt Part 2. (For Voltage Feedback Op Amps). Tim Green & Collin Wells. Precision Analog Linear Applications. 1. Stability . Tricks and Rules-of-Thumb. 3. Loop Gain Bandwidth Rule: 45 degrees for f . <. UC Berkeley. Fall 2010. http://jagger.me.berkeley.edu/~pack/me190L. Copyright . 2007-10, . Andy Packard. This work is licensed under the Creative Commons Attribution-. ShareAlike. License. To view a copy of this license, visit . Part 2. (For Voltage Feedback Op Amps). Tim Green & Collin Wells. Precision Analog Linear Applications. 1. Stability Analysis - Method 2 . (Aol and1/. b . Technique). (CF Compensation). 3. Large Input Resistance &. , . , . .. If the system is placed in closed-loop feedback, find A. CL. of the new system. . (Assume . is of the appropriate dimension.). Can the eigenvalues of A. CL. be adjusted by changing the parameters of K?. frequency-response studies. In practice, the performance of a control system is more realistically measured by its time-domain characteristics.. The reason is that the performance of most control systems is judged based on the time due to certain test signals. . S-Plane: Poles and Zeros . A linear system can be represented by the following transfer function: . Zeros: . z. i. (the roots of the numerator) . Poles: p. i. (the roots of the denominator or of the system or . By Frank Owen, PhD, PE. polyXengineering, Inc.. San Luis Obispo, California. Purpose of Derivative control. You do not like the dynamics of an existing system. You want to place the closed-loop poles at a point that is not on the current root locus. 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. 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..