I'm practising on compensators and the root locus. A very common problem in my textbook is to find the value of a variable for the minimum settling time of the system.
I have no trouble drawing the root locus for the variable but I can't decide on the right value. I only found a formula for second order systems but that doesn't cover most of the cases.
I also tried inverse transforming to find a result in the time domain but I usually have an exponentially decaying component multiplied by a sinusoid and it gets more complicated.
So , what's a general technique to calculate settling time ?