– The purpose of this paper is to present a proportional-integral (PI) observer design on a linear system with stochastic noises.
Abstract
Purpose
The purpose of this paper is to present a proportional-integral (PI) observer design on a linear system with stochastic noises.
Design/methodology/approach
The noised disturbances are modeled as independent Brownian motions for various affections, such as radiation, heat, and material fatigue. These phenomena are common in applications, such as biomolecules, nonlinear control, and biochemical networks. Under this framework, this paper proposes a new approach on a PI observer in terms of four crucial theorems, and an illustrative numerical example is given to verify the proposed design.
Findings
The results provide potential solutions for system fault tolerance and isolation.
Originality/value
This paper proposes a design, solvability, and controllability analysis on a PI observer in terms of four crucial theorems.