{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

problemset9

# problemset9 - The University of Texas at Austin Department...

This preview shows pages 1–2. Sign up to view the full content.

The University of Texas at Austin Department of Electrical and Computer Engineering EE362K: Introduction to Automatic Control—Fall 2009 Problem Set Nine C. Caramanis Due: Wednesday, November 25 2009. This problem set is emphasizes PID control and system type, as well as Nyquist plots, and stability. 1. Routh-Hurwitz: Consider a unity feedback loop connecting a controller D ( s ) and a plant G ( s ), where the plant is given by G ( s ) = 1 s 2 + 3 s - 4 , and the controller is given by D ( s ) = K 1 + 1 s K 2 + sK 3 . (a) Compute the closed loop transfer function from r to y . (b) Compute conditions on the constants K 1 , K 2 , and K 3 , so that the resulting closed loop system is stable. 2. System type and PID controllers. Consider the closed loop system shown in the figure below: G D W and let G ( s ) = β s ( τs + 1) . Consider a disturbance signal w ( t ) = t k 11( t ). If D ( s ) is a PI controller, what is the largest k for which the steady state response to the noise is zero?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern