Self-Tuning Control based on Modified Equivalent-Dynamic-Linearization Model

TL;DR

This paper introduces a modified equivalent-dynamic-linearization model for self-tuning control that accounts for time delay and disturbance, improving practical applicability and stability analysis over existing model-free adaptive control methods.

Contribution

It proposes a new EDLM-based self-tuning controller incorporating delay and disturbance, classifies it into four cases for easier application, and provides a novel approach for parameter selection and stability analysis.

Findings

Enhanced control accuracy with the modified EDLM.

Effective stability analysis via closed-loop pole functions.

Demonstrated improvements through two practical examples.

Abstract

The current model-free adaptive control (MFAC) method is designed on the basis of the equivalent-dynamic-linearization model (EDLM) with neglect of the time delay and disturbance in practical. By comparisons with the current works about MFAC, i) a class of self-tuning controller is proposed based a new EDLM modified by the introduction of time delay and disturbance so as to reflect the real system more objectively. Thereafter, we classify the proposed controller into four cases to enable easier applications; ii) the controller design and stability analysis of system are achievable by analyzing the function of the closed-loop poles. In addition, the issue of how to choose the parameter \lambda in current MFAC by quantity is firstly finished by the analysis of zeros-poles placement and static error of system, whereas this can hardly be realized by the previous contraction mapping method; iii) the study on the proposed method is focused on linear model for easily mastering its working behavior; At last, two examples are used to demonstrate the effectiveness of the proposed method and to point out the deficiencies in the current MFAC theory.