EEL5173 Fall 2009 Lecture _15

# EEL5173 Fall 2009 Lecture _15 - V. Linear Feedback Control...

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Unformatted text preview: V. Linear Feedback Control output feedback, classical approach state feedback, modern control 1. Output Feedback U Y G H + _ The feedback controller H is to be designed. GH G U Y T + = = 1 2. State Feedback u ( t ) y ( t ) B A block diagram representation of a state-space model of a CT system. x r C D dt x d r M A K r ( t ) _ + 2. State Feedback u ( t ) y ( t ) B A block diagram representation of a state-space model of a CT system. x r C D dt x d r M x K t r t u r = ) ( ) ( A K r ( t ) _ + [ ] n k k k K L 2 1 = Control Law: to be designed. [ ] [ ] ) ( ) ( ) ( t Br x BK A x K t r B x A t Bu x A dt x d + = + = + = r r r r r x K t r t u r = ) ( ) ( BK A A ( ) BK A sI A sI 3. Pole Placement with State Feedback , ) ( 1 1 1 + + + + = s s s s n n n L Given does it exist a controller K such that ( ) ? ) ( s BK A sI = Q: A: Yes, if the system is controllable (reachable for DT systems.) (a) Bas-Gura Formula...
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## This note was uploaded on 07/15/2011 for the course EEL 5173 taught by Professor Tung during the Fall '09 term at FSU.

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EEL5173 Fall 2009 Lecture _15 - V. Linear Feedback Control...

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