Delay estimation algorithm for nonlinear time-delay systems with unknown inputs

Barbot, Jean Pierre; Zheng, Gang; Floquet, Thierry; Boutat, Driss; Richard, Jean‐Pierre

doi:10.3182/20120622-3-us-4021.00032

Cited by 9 publications

(4 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…involving the delay in an essential way), then the delay can be identified for almost all 3 y by numerically finding zeros of such an equation. For this issue, the interested reader can refer to Barbot et al (2012) and the references therein. Thus delay identification for (6) becomes to seek such an equation.…”

Section: Preliminary Resultsmentioning

confidence: 99%

Identification of the delay parameter for nonlinear time-delay systems with unknown inputs

Zheng

Barbot

Boutat³

2013

Automatica

Self Cite

View full text Add to dashboard Cite

International audienceUsing the theory of non-commutative rings, this paper studies the delay identification of nonlinear time-delay systems with unknown inputs. A sufficient condition is given in order to deduce an output delay equation from the studied system. Then necessary and sufficient conditions are proposed to judge whether the deduced output delay equation can be used to identify delay involved in this equation. Two different cases are discussed for the dependent and independent outputs, respectively. The presented result is applied to identify delay in a biological system

show abstract

Section: Preliminary Resultsmentioning

confidence: 99%

Identification of the delay parameter for nonlinear time-delay systems with unknown inputs

Zheng

Barbot

Boutat³

2013

Automatica

Self Cite

View full text Add to dashboard Cite

show abstract

“…Finally, in addition to the above focus on control design, various methods exist for the estimation of time-varying parameters and potentially uncertain time delays, including: [49], [50], [51]. For example, Tan [52] uses an ANN to construct a time-delay estimator to track the time-varying delay.…”

Section: Control Of Time-varying Delaysmentioning

confidence: 99%

Unknown and Time-Varying Time Delays in the Modelling and Control of Hydraulic Actuators: Literature Review

Albrecht

Taylor

2020

2020 Australian and New Zealand Control Conference (ANZCC)

View full text Add to dashboard Cite

Uncertain time-delays can reduce the performance of hydraulic manipulator control systems. Variations in the time delay between, for example, an applied voltage and the associated manipulator movement, may be caused by the internal dynamics of the system and other nonlinear characteristics, such as fluid compressibility, dead-band of the pump, valve flow properties and friction characteristics. Robot control that addresses system time-delays, nonlinearities and uncertainty is the subject of much research but, whilst the specific concept of varying time delays in hydraulic systems is sometimes acknowledged, it appears to be less widely investigated than other types of uncertainty. The present article discuses some of the issues involved, exemplified by a dual manipulator device used in the laboratory for research into nuclear decommissioning, and presents a review of the relevant control literature in this area.Index Terms-hydraulic manipulators, uncertain time delays, time varying delays, robot control systems, literature review

show abstract

“…This motivates us to estimate the delay using available measurements. Various methods have been proposed to identify the delay, such as variation of least square method [5], variable structure observer [6], recursive gradient method [7], and high-order sliding mode technique [8]. These techniques and most of the available ones are either off-line or asymptotic.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time estimation for a class of systems with unknown time‐delay using modulating functions‐based method

Asiri

Liu

2022

Asian Journal of Control

View full text Add to dashboard Cite

Time‐delay systems are widely used to model real problems. Most of the works on such systems assume prior knowledge of the delay, which is mostly unknown in real applications. This paper aims to fast and robustly estimate unknown delay, parameters, and output derivatives for a class of linear time‐delay systems in noisy environment. First, the classical modulating functions method is combined with the recursive least square algorithm and the Gauss–Newton method to estimate the coefficients and the time‐delay, respectively. Second, the generalized modulating functions method is adopted to provide algebraic integral formulas to estimate the output derivatives using the estimated parameters. Finally, numerical simulations are given to demonstrate the efficiency and robustness of the proposed methods.

show abstract

Delay estimation algorithm for nonlinear time-delay systems with unknown inputs

Cited by 9 publications

References 16 publications

Identification of the delay parameter for nonlinear time-delay systems with unknown inputs

Identification of the delay parameter for nonlinear time-delay systems with unknown inputs

Unknown and Time-Varying Time Delays in the Modelling and Control of Hydraulic Actuators: Literature Review

Finite‐time estimation for a class of systems with unknown time‐delay using modulating functions‐based method

Contact Info

Product

Resources

About