{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

observers

# observers - Observer Design and Output Feedback 1 2 3 4 5 6...

This preview shows pages 1–5. Sign up to view the full content.

Observer Design and Output Feedback 1. Review of state feedback control 2. State estimation 3. Illustrative example 4. Chemical reactor example 5. Separation principle 6. Simulink example

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

View Full Document
State Feedback Control Linear state-space model State feedback control law » K is the controller gain matrix » Requires measurement of all state variables mxn mn m n R k k k k = - = 1 1 11 K Kx u m m n n R u u u R x x x dt d = = = + = 2 1 2 1 0 ) 0 ( u x x x Bu Ax x
State Estimation Motivation » State variables are often unmeasured » Implement control law with estimated state variables State estimator » State-space model and available measurements used to estimate unmeasured state variables » Often called a state observer State Feedback Controller Observer Process u (t) x (t) y (t) ) ( ˆ t x Estimated state variables Unmeasured state variables Measured output variables

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

View Full Document
Luenberger Observer State-space model » Linear observation equation Observer form » L is the observer gain matrix to be determined nxp np n p R l l l l dt d = - + + =       1 1 11 correction Output model loop - Open ) ˆ ( ˆ ˆ L x C y L Bu x A x pxn pn p n
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