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: [] 12 T T T to transform to = CC U 11 C UC ˆˆ ˆ AA B AT A T , BT B ˆ 0 0A −− ⎡⎤ ⎢⎥ == = = 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 U C UC 1 C UC 2 UC 1 U C ˆ B KK ˆ Then s A B K s ˆ 0 ˆ ˆ ˆ ˆ sA B K A B K ˆ 0s A ˆ ˆ B KsA 0 −+ = + ⎣⎦ + = =− + ⋅− = II I I
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ME 575 Handouts 2 ME575 Session 31: Uncont. System Example School of Mechanical Engineering Purdue University Slide 3 Uncontrollable System Example Uncontrollable System Example 21 0 0 A 020 , B 1 002 1 ⎡⎤ ⎢⎥ =− = ⎣⎦ C 01 4 W1
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This note was uploaded on 12/09/2011 for the course ME 575 taught by Professor Meckl during the Fall '10 term at Purdue University-West Lafayette.

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

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