# steadystateerror14 - Professor Robert G Landers The...

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

Steady State Error Q UESTION 14 For the system shown in Figure 14 calculate e (∞) for the following inputs: r ( t ) = 1, r ( t ) = t , and r ( t ) = 0.5 t 2 . ( 29 2 1 1 s s + 2 1 s ( 29 2 1 3 s s + R(s) E(s) Y(s) + - + - Figure 14 Let ( 29 ( 29 1 2 1 1 G s s s = + and ( 29 ( 29 2 2 1 3 G s s s = + . Denote the output from the G 1 block as V ( s ). From the block diagram, ( 29 ( 29 ( 29 E s R s Y s = - , ( 29 ( 29 ( 29 ( 29 1 2 1 V s G s E s V s s = - , and ( 29 ( 29 ( 29 1 Y s G s V s = Combining equations, ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 4 1 2 4 1 1 2 2 1 1 1 3 3 1 1 3 3 1 1 G s s s s s s E s R s R s s s s s G s G s G s s + + + + + = = + + + + + + +

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

View Full Document
ME 279 – Automatic Control of Mechanical Systems
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Professor Robert G. Landers The closed–loop characteristic polynomial is ( 29 ( 29 ( 29 4 6 5 4 1 3 3 4 3 4 s s s s s s s s + + + + = + + + + . Since there are missing powers of s , the closed–loop system is not stable and, therefore, the steady–state error cannot be calculated. 2...
View Full 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