Need for Feedback to Stabilize Unstable Systems
24 Aug 2017This post addresses the following question with the help of an example:
Question: Is it possible to practically stabilize an unstable system without feedback?
Let us consider an unstable system with transfer function
The disturbances in the plant input and output can completely throw away the stability. This can only be corrected using feedback.
Even in a disturbance free ideal world, all numbers are finite precision and have errors. So while computing
Answer: No.
I will put the response of such a system using Matlab to show instability in a future post.