- How can you justify pole zero cancellation?
- What is the effect of adding pole and zero on system performance?
- Can you have a pole and zero at same spot?
- What is the difference between a zero and a pole?
How can you justify pole zero cancellation?
CTM: Pole/Zero Cancellation. When an open-loop system has right-half-plane poles (in which case the system is unstable), one idea to alleviate this problem is to add zeros at the same locations as the poles, to cancel the unstable poles. Unfortunately, this method is always unreliable.
What is the effect of adding pole and zero on system performance?
Addition of poles to the transfer function has the effect of pulling the root locus to the right, making the system less stable. Addition of zeros to the transfer function has the effect of pulling the root locus to the left, making the system more stable.
Can you have a pole and zero at same spot?
If a pole and zero are in same location that means they cancel each other. A pole zero cancellation means that either the system is uncontrollable or unobservable or both.
What is the difference between a zero and a pole?
A zero of a meromorphic function f is a complex number z such that f(z) = 0. A pole of f is a zero of 1/f. of f. Simple zero and simple pole are terms used for zeroes and poles of order.