An adaptive derivative estimator for fault-detection Using a dynamic system with a suboptimal parameter

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

This paper deals with an approximation of a first derivative of a signal using a dynamic system of the first order. After formulating the problem, a proposition and a theorem are proven for a possible approximation structure, which consists of a dynamic system. In particular, a proposition based on a Lyapunov approach is proven to show the convergence of the approximation. The proven theorem is a constructive one and shows directly the suboptimality condition in the presence of noise. Based on these two results, an adaptive algorithm is conceived to calculate the derivative of a signal with convergence in infinite time. Results are compared with an approximation of the derivative using an adaptive Kalman filter (KF).

Original languageEnglish
Article number101
JournalAlgorithms
Volume12
Issue number5
Number of pages17
DOIs
Publication statusPublished - 10.05.2019

    Research areas

  • Derivative approximation, Estimator, Least squares method, Lyapunov approach
  • Engineering

Documents

DOI

Recently viewed

Publications

  1. Fast template match algorithm for spatial object detection using a stereo vision system for autonomous navigation
  2. Advanced Neural Classifier-Based Effective Human Assistance Robots Using Comparable Interactive Input Assessment Technique
  3. Semi-supervised learning for structured output variables
  4. A Lightweight Simulation Model for Soft Robot's Locomotion and its Application to Trajectory Optimization
  5. Closed-loop control of product geometry by using an artificial neural network in incremental sheet forming with active medium
  6. Noise Detection for Biosignals Using an Orthogonal Wavelet Packet Tree Denoising Algorithm
  7. Neural network-based adaptive fault-tolerant control for strict-feedback nonlinear systems with input dead zone and saturation
  8. Problem structuring for transitions
  9. A transfer operator based computational study of mixing processes in open flow systems
  10. Automatic enumeration of all connected subgraphs.
  11. Different complex word problems require different combinations of cognitive skills
  12. Sequencing and fading worked examples and collaboration scripts to foster mathematical argumentation - working memory capacity matters for fading
  13. Constructs for Assessing Integrated Reports-Testing the Predictive Validity of a Taxonomy for Organization Size, Industry, and Performance
  14. Single Robust Proportional-Derivative Control for Friction Compensation in Fast and Precise Motion Systems With Actuator Constraint
  15. Dispatching rule selection with Gaussian processes
  16. DialogueMaps: Supporting interactive transdisciplinary dialogues with a web-based tool for multi-layer knowledge maps
  17. The learning net - an interactive representation of shared knowledge
  18. A Control Scheme for PMSMs using Model Predictive Control and a Feedforward Action in the Presence of Saturated Inputs
  19. Energy Optimization in Motion Planning of a Two-Link Manipulator using Bernstein Polynomials
  20. Set oriented approximation of invariant manifolds
  21. Human–learning–machines: introduction to a special section on how cybernetics and constructivism inspired new forms of learning
  22. A sensor fault detection scheme as a functional safety feature for DC-DC converters
  23. Effective informational entropy reduction in multi-robot systems based on real-time TVS
  24. Computational modeling of amorphous polymers
  25. Dynamic Lot Size Optimization with Reinforcement Learning
  26. The delay vector variance method and the recurrence quantification analysis of energy markets
  27. Computing regression statistics from grouped data
  28. Analysis of long-term statistical data of cobalt flows in the EU
  29. Image compression based on periodic principal components
  30. Gaussian processes for dispatching rule selection in production scheduling
  31. Modeling items for text comprehension assessment using confirmatory factor analysis
  32. Digging into the roots
  33. Gain Adaptation in Sliding Mode Control Using Model Predictive Control and Disturbance Compensation with Application to Actuators
  34. Challenge-oriented policy making and innovation systems theory: reconsidering systemic instruments
  35. Mostly harmless econometrics? Statistical paradigms in the ‘top five’ from 2000 to 2018
  36. Faulty Process Detection Using Machine Learning Techniques
  37. Development and evaluation of a training program for dialysis nurses - An intervention study
  38. Extending talk on a prescribed discussion topic in a learner-native speaker eTandem learning task
  39. Quantifying diffuse and point inputs of perfluoroalkyl acids in a nonindustrial river catchment