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31 - uncont_exmp31 filled

# 31 - uncont_exmp31 filled - ME 575 Handouts Uncontrollable...

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ME 575 Handouts 1 ME575 Session 31: Uncont. System Example School of Mechanical Engineering Purdue University Slide 1 Uncontrollable Systems Uncontrollable Systems If the system is not completely state controllable, then then W c is of rank is of rank A < n. Use transformation: < n. Use transformation: [ ] 1 2 T T T to transform to = C CU 1 1 C UC ˆ ˆ ˆ A A B ˆ ˆ A T A T , B T B ˆ 0 0 A = = = = 1 2 ˆ ˆ ˆ Define K K T [K K ] = = ME575 Session 31: Uncont. System Example School of Mechanical Engineering Purdue University Slide 2 Uncontrollable Systems Uncontrollable Systems C CU C 1 2 UC C C 1 CU C 2 UC C C 1 UC ˆ ˆ ˆ A A ˆ ˆ B K K ˆ ˆ ˆ Then s A B K s ˆ 0 0 A ˆ ˆ ˆ ˆ ˆ ˆ s A B K A B K ˆ 0 s A ˆ ˆ ˆ ˆ s A B K s A 0 + = + + + = = + = I I I I I I

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