How do you choose the eigenvalues when using “place” in MATLAB?
Submitted by: waydo Submitted on: October 25, 2004 Identifier: L5.1 Good question! As we will see later in the quarter, the location of the eigenvalues affects things like rise time, overshoot, settling time, etc. When we do control design we often start with specifications on these properties such as “rise time less than 10 seconds” or “overshoot less than 5 percent”. These specifications then guide our choice of eigenvalue locations. In principle, if we have a reachable linear system we can place the eigenvalues wherever we like using feedback. In reality our choices will be limited by nonlinear effects like saturation and stiction, which is why we generally design our controllers based on a linearization but then simulate the full nonlinear system for verification. If you continue on to CDS110b, you will learn alternate methods for controller design that place the eigenvalues to optimize the behavior of the system relative to some performance metric. [Back to Top] • In lecture you s
