This paper is concerned with entropy based fundamental limitation results for the nonlinear disturbance rejection problem. We propose a hidden Markov model (HMM) framework for entropy calculations. We obtain explicit entropy bounds for both the classical Bode problem (with linear dynamics) as well as certain cases of nonlinear dynamics. An important message of this paper is that the limitations arise due to fundamental issues pertaining to estimation as opposed to the stabilization control problem.
- Bode formula
- Nonlinear systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering