ADRC method for noncascaded integral system based on the total derivative of composite functions of several variables
type: Item
instance of: scholarly article
title: ADRC method for noncascaded integral system based on the total derivative of composite functions of several variables
zbMATH Open document ID: 1400.34106
DOI: 10.1155/2016/3796486
author: Zhijian Huang
author: Xuemei Xiong
author: Hailong Wang
author: Yuli Chen
author: Yihua Liu
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: The standard ADRC controller usually selects the canonical plant in the form of cascaded integrators. However, the condition variables of practical system do not necessarily have the cascaded integral relationship. Therefore, this paper proposes a method of total derivative of composite functions of several variables and a structure, which can convert the state space system of noncascaded integral form into the cascaded integral form. In this way, the converted system can be directly controlled with ADRC. Meanwhile, the control of Chen chaotic system is discussed in detail to show the conversion and the controller design. The control performances under different levels of complication and different strengths of disturbance are comparably researched. The converted system achieves significantly better control effects under ADRC than that of the PID. This converting method solves the control problem of some noncascaded integral systems in both theory and application and greatly expands the application scope of the standard ADRC method.
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 6953103
Wikidata QID: Q59130965
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/3796486
OpenAlex ID: W2567367234
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description: scientific article; zbMATH DE number 6953103