Consistent discretization of homogeneous finite/fixed-time controllers for LTI systems

DOI10.1016/j.automatica.2023.111118zbMath1520.93474arXiv2207.03235OpenAlexW4380930630MaRDI QIDQ6110001

Xubin Ping, Denis V. Efimov, Andrey Polyakov

Publication date: 31 July 2023

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.03235

zbMATH Keywords

nonlinear controlhomogeneous systemssampled-time control

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Finite-time stability (93D40)

Cites Work

• Unnamed Item
• Unnamed Item
• Proper discretization of homogeneous differentiators
• Recent developments on the stability of systems with aperiodic sampling: an overview
• On characterizations of the input-to-state stability property
• Homogeneous feedback controls for homogeneous systems
• Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems
• Global stabilizability of homogeneous vector fields of odd degree
• Adding an integrator for the stabilization problem
• Homogeneous Lyapunov function for homogeneous continuous vector field
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Homogeneous Lyapunov functions and necessary conditions for stabilization
• Homogeneous sliding modes in noisy environments
• Practical fixed-time ISS of neutral time-delay systems with application to stabilization by using delays
• Discretization of homogeneous systems using Euler method with a state-dependent step
• Finite-time and fixed-time stabilization: implicit Lyapunov function approach
• A note on delay robustness for homogeneous systems with negative degree
• Homogeneity approach to high-order sliding mode design
• Geometric homogeneity with applications to finite-time stability
• Robustness of sampled-data homogeneous systems
• Robust stabilization of MIMO systems in finite/fixed time
• Lyapunov Stability and Performance Analysis of the Implicit Discrete Sliding Mode Control
• Combining iISS and ISS With Respect to Small Inputs: The Strong iISS Property
• Nilpotent Approximations of Control Systems and Distributions
• Homogeneous State Feedback Stabilization of Homogenous Systems
• Realization and Discretization of Asymptotically Stable Homogeneous Systems
• Sliding mode control design using canonical homogeneous norm
• Consistent Discretization of Finite-Time and Fixed-Time Stable Systems
• Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
• Smooth stabilization implies coprime factorization
• Changing supply functions in input/state stable systems
• Finite-Time Observers: Application to Secure Communication
• Explicit Computation of the Sampling Period in Emulation of Controllers for Nonlinear Sampled-Data Systems
• Homogeneous Stabilization for Input Affine Homogeneous Systems
• Chattering Analysis
• Discrete-Time Implementation of Homogeneous Differentiators
• Lyapunov Stability Analysis of the Implicit Discrete-Time Twisting Control Algorithm
• The Implicit Discretization of the Supertwisting Sliding-Mode Control Algorithm
• Model Predictive Control, Cost Controllability, and Homogeneity
• Lie Groups, Lie Algebras, and Representations
• Homogeneous Approximation, Recursive Observer Design, and Output Feedback
• Robust Feedback Stabilization of Linear MIMO Systems Using Generalized Homogenization
• Generalized Homogeneity in Systems and Control
• \(H_\infty\) control, stabilization, and input-output stability of nonlinear systems with homogeneous properties
• Input-to-state stability for discrete-time nonlinear systems
• Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations
• Multiple‐input multiple‐output homogeneous integral control design using the implicit Lyapunov function approach
• Digital implementation of sliding‐mode control via the implicit method: A tutorial
• Lyapunov‐based consistent discretization of stable homogeneous systems

This page was built for publication: Consistent discretization of homogeneous finite/fixed-time controllers for LTI systems