Parameter estimation for linear control valve with hysteresis

TL;DR

This paper presents a method for accurately estimating parameters and switching epochs of a linear control valve with hysteresis using subspace decomposition and least squares, effective even in noisy conditions.

Contribution

It introduces a novel parameter estimation technique for hysteretic control valves that precisely identifies switching epochs and parameters, outperforming existing methods in noisy environments.

Findings

Exact parameter estimation in noise-free conditions.

Robust performance in noisy measurement scenarios.

Effective classification of valve states using subspace decomposition.

Abstract

The problem of estimating parameters of linear control valve with hysteresis is considered. The hysteretic behavior of control valve is formulated as a switched linear model. An indicator vector, which shows the switching epochs of switched linear model, is explored by subspace decomposition on measurements. With the help of indicator vector, the noisy measurements are classified into separate groups, each corresponding to up-stroke and down-stroke of control valve respectively. The least squares technique is adopted to estimate the parameters of control valve. It is shown that the proposed technique exactly estimates the parameters and switching epochs in absence of noise and exhibits dominant advantage in noisy case.