Inverse function of "place function" - State Feedback Control

2013 4 30
2 个回答
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Hello!
Is there a function in which the value of the gain constant (K) is a paramenter and the result are the poles?
Example:
1) As it is: p1 = a + b*1i (any set point i've chosen) p2 = a - b*1i (any set point i've chosen) A and B are canonical controlable state feedback matrices (no problems here)
K = place(A,B,[p1 p2]);
K = gain of the feedback to produce the control efect (no problem here)
2) What i want to do:
[pa pb] = (place)^-1(A,B,K); I want to discover pa and pb values, as A, B and K are already determined.
(i know i can solve that just by doing the inverse eqs., but i want to know if there's any fast-usage-matlab-made function!)
Thx all.
Fávero

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回答（2 个）

Fávero
Fávero 2013-4-30

0 个投票

Hi. Thx for the answer. K = [k1 k2], so
[pa, pb] = eig (A-B*K)
returns me pa = [0.9942 -0.9942; -0.1075 1] pb = [-0.0072 0; 0 -5.3855]*10^6.
I'm sorry, but i cannot see how those values works as poles for me. If you please help me providing further info, i'll be greatfull.
Fávero

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Fávero
Fávero
2013-4-30

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