{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# intro - EE236A(Fall 2007-08 Lecture 1 Introduction and...

This preview shows pages 1–3. Sign up to view the full content.

EE236A (Fall 2007-08) Lecture 1 Introduction and overview linear programming example from optimal control example from combinatorial optimization history course topics software 1–1 Linear program (LP) minimize n summationdisplay j =1 c j x j subject to n summationdisplay j =1 a ij x j b i , i = 1 ,...,m n summationdisplay j =1 c ij x j = d i , i = 1 ,...,p variables: x j R problem data: the coefficients c j , a ij , b i , c ij , d i can be solved very efficiently (several 10,000 variables, constraints) widely available high-quality software extensive, useful theory (optimality conditions, sensitivity analysis, . . . ) Introduction and overview 1–2

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

View Full Document
Example: open-loop control problem single-input/single-output system (with input u , output y ) y ( t ) = h 0 u ( t ) + h 1 u ( t - 1) + h 2 u ( t - 2) + h 3 u ( t - 3) + · · · output tracking problem: minimize deviation from desired output y des ( t ) max t =0 ,...,N | y ( t ) - y des ( t ) | subject to input amplitude and slew rate constraints: | u ( t ) | ≤ U, | u ( t + 1) - u ( t ) | ≤ S variables: u (0) , . . . , u ( M ) (with u ( t ) = 0 for t < 0 , t > M )
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