In lecture you said we want to place the eigenvalues of (A+BK), but MATLABs “place” places eigenvalues of A-BK. Whats the deal?
Submitted by: waydo Submitted on: October 27, 2004 Identifier: L5.1 , L5.2 Whether our closed loop dynamics matrix is A-BK or A+BK just depends on the sign convention we use when applying the feedback. Sometimes you will see the signal inverted as it is fed back (so u = -Kx), in which case the closed loop dynamics are given by A-BK, and sometimes it will not be inverted (so u = Kx), in which case we use A+BK. The two formulations are exactly equivalent, and the sign convention just determines the sign of the elements of K. In the book and in MATLAB we use the A-BK sign convention, so we will be more careful to do this in lecture in the future. [Back to Top] • How come you can always find u(t) such that the integrals come out to be what is needed to drive the state where you want it to go if the reachability condition holds? Submitted by: waydo Submitted on: October 27, 2004 Identifier: L5.2 The answer to this question is somewhat involved and beyond the scope of this course. For one ta
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- In lecture you said we want to place the eigenvalues of (A+BK), but MATLABs "place" places eigenvalues of A-BK. Whats the deal?
