An arbitrary-order differentiator design paradigm with adaptive gains

DOI10.1080/00207179.2018.1429671zbMath1401.93062OpenAlexW2791422719WikidataQ67184628 ScholiaQ67184628MaRDI QIDQ4689954

Markus Reichhartinger, Sarah K. Spurgeon

Publication date: 22 October 2018

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://discovery.ucl.ac.uk/id/eprint/10042550/

zbMATH Keywords

sliding modeadaptive gainsarbitrary-order differentiator

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Design techniques (robust design, computer-aided design, etc.) (93B51) Adaptive control/observation systems (93C40) Variable structure systems (93B12) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Unknown input observer design for linear time-invariant multivariable systems based on a new observer normal form ⋮ Time‐discretizations of differentiators: Design of implicit algorithms and comparative analysis ⋮ An arbitrary-order exact differentiator with predefined convergence time bound for signals with exponential growth bound ⋮ Design of the second‐order robust exact differentiator: A describing function approach ⋮ Robust exact filtering differentiators ⋮ Discrete-time equivalents of the super-twisting algorithm

Cites Work

• A novel adaptive-gain supertwisting sliding mode controller: methodology and application
• Proper discretization of homogeneous differentiators
• Sliding mode control: a survey with applications in math
• Discontinuous systems. Lyapunov analysis and robust synthesis under uncertainty conditions
• Robust exact differentiation via sliding mode technique
• Homogeneity approach to high-order sliding mode design
• New methodologies for adaptive sliding mode control
• Optimal control and stabilization for nonlinear systems
• Linear Matrix Inequalities in System and Control Theory
• Higher-order sliding modes, differentiation and output-feedback control
• Reaching Time Estimation for “Super-Twisting” Second Order Sliding Mode Controller via Lyapunov Function Designing
• The phase transition of matrix recovery from Gaussian measurements matches the minimax MSE of matrix denoising
• Finite Time Stabilization of a Perturbed Double Integrator—Part I: Continuous Sliding Mode-Based Output Feedback Synthesis
• Uniform Robust Exact Differentiator
• Strict Lyapunov Functions for the Super-Twisting Algorithm
• Frequency characteristics of Levant's differentiator and adaptive sliding mode differentiator
• Liapunov functions and stability in control theory

This page was built for publication: An arbitrary-order differentiator design paradigm with adaptive gains