Pole placement design of proportional-integral observer with stochastic perturbations

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.

Citation

Hu, F.-R. and Hu, J.-S. (2016), "Pole placement design of proportional-integral observer with stochastic perturbations", Engineering Computations, Vol. 33 No. 6, pp. 1729-1741. https://doi.org/10.1108/EC-08-2015-0243