Conventional and Added-Order Proportional Nonlinear Integral Observers

Liu, Baishun; Luo, Xiangqian; Li, Jianhui

doi:10.4236/ijmnta.2014.35023

Cited by 3 publications

(4 citation statements)

References 17 publications

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“…The proportional integral observer can be applied to onlooker gain L planning for the proportionalintegral observer with this extended onlooker model for tracking systems [5].…”

Section:  =  mentioning

confidence: 99%

New Tuning Approach of Fuzzy Logic System Using Proportional Integral Observer for Tracking a Nonlinear System

Jibril

2021

Preprint

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Proportional integral observer (PIO) for tracking a nonlinear method has a lower sentiency to cipher the state and output variables. So a more nonlinear controller has to be else to control to activity. In this paper, a fuzzy logic (FLC) controller has been added to the PIO to meliorate the calculation transmute. A fuzzy proportional integral observer (FPIO) for following a nonlinear system has been premeditated to decimate the susceptibleness to cipher the tell and turnout variables with the existent posit and product variables. The FPIO controller has been tested for improving the estimation control using a nonlinear quarter vehicle active suspension system with a nonlinear hydraulic actuator. A comparison simulation of the proposed nonlinear system for estimating the state variables and tracking the output (suspension deflection) with a set point bump road disturbance using FPIO and PIO. The comparison simulation result shows that the estimated state variables and system output match the actual ones perfectly using a fuzzy PIO controller.

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“…The proportional integral observer can be applied to onlooker gain L planning for the proportionalintegral observer with this extended onlooker model for tracking systems [5].…”

Section:  =  mentioning

confidence: 99%

New Tuning Approach of Fuzzy Logic System Using Proportional Integral Observer for Tracking a Nonlinear System

Jibril

2021

Preprint

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“…for all For the purpose of this paper, it is convenient to introduce the following definition [12] and propositions [10]. Definition 1: …”

Section: Problem Formulationmentioning

confidence: 99%

Power Ratio Gain Technique and General Integral Control

Liu¹

2015

Self Cite

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In conjunction with general integral control, and synthesizing Singular perturbation and Equal ratio gain techniques, this paper proposes a new control design technique, named Power ratio gain technique, and then by Lyapunov method, theorem to ensure regionally as well as semi-globally asymptotic stability is established in terms of some bounded information. The highlight point is that it not only inherits all the essences of Singular perturbation and Equal ratio gain techniques but also makes up for their shortcomings, and then the conservatism of control input can be improved by compromising the Power ratio coefficients. Theoretical analysis, design example and simulation results show that Power ratio gain technique is a simple, practical and powerful tool to deal with the uncertain nonlinear system.

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“…with 0 a Φ > , 0 b Φ > , and x R ∈ denotes the set of all continuous differential increasing function [12],…”

Section: Problem Formulationmentioning

confidence: 99%

“…, and substituting 14and (15) into (12) and (13), respectively, the whole closed-loop system can be rewritten as,…”

Section: Problem Formulationmentioning

confidence: 99%

Output Feedback Nonlinear General Integral Control

Liu¹

2015

IJMNTA

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This paper proposes an output feedback nonlinear general integral controller for a class of uncertain nonlinear system. By solving Lyapunov equation, we demonstrate a new proposition on Equal ratio gain technique. By using Equal ratio gain technique, Singular perturbation technique and Lyapunov method, theorem to ensure regionally as well as semi-globally exponential stability is established in terms of some bounded information. Moreover, a real time method to evaluate the ratio coefficients of controller and observer are proposed such that their values can be chosen moderately. Theoretical analysis and simulation results show that not only output feedback nonlinear general integral control has the striking robustness but also the organic combination of Equal ratio gain technique and Singular perturbation technique constitutes a powerful tool to solve the output feedback control design problem of dynamics with the nonlinear and uncertain actions.

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Conventional and Added-Order Proportional Nonlinear Integral Observers

Cited by 3 publications

References 17 publications

New Tuning Approach of Fuzzy Logic System Using Proportional Integral Observer for Tracking a Nonlinear System

New Tuning Approach of Fuzzy Logic System Using Proportional Integral Observer for Tracking a Nonlinear System

Power Ratio Gain Technique and General Integral Control

Output Feedback Nonlinear General Integral Control

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