Robustification of sample-and-hold stabilizers for control-affine time-delay systems

DOI10.1016/j.automatica.2017.06.029zbMath1373.93206OpenAlexW2724637997MaRDI QIDQ1679089

Mario Di Ferdinando, Pierdomenico Pepe

Publication date: 8 November 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2017.06.029

zbMATH Keywords

sampled-data controltime-delay systemssaturationcontrol Lyapunov-Krasovskii functionalsrobustness issuesapplications with time-delay systemsinvariantly differentiable functionalsstability and stabilization in the sample-and-hold sense

Mathematics Subject Classification ID

Sampled-data control/observation systems (93C57) Adaptive or robust stabilization (93D21) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (10)

Practical Stability Preservation Under Sampling, Actuation Disturbance and Measurement Noise, for Globally Lipschitz Time-Delay Systems ⋮ Semiglobal exponential input-to-state stability of sampled-data systems based on approximate discrete-time models ⋮ Experimental results of optimal and robust control for uncertain linear time-delay systems ⋮ Low gain control of linear growth feedforward systems by delayed output signals and sparse sampling ⋮ On Sontag's formula for the sampled-data observer-based stabilization of nonlinear time-delay systems ⋮ Stabilization of affine systems with polytopic control value sets ⋮ Bipartite consensus of nonlinear multi-agent systems based on delayed output signals ⋮ Sampled-data emulation of dynamic output feedback controllers for nonlinear time-delay systems ⋮ Exponential input-to-state stability of globally Lipschitz time-delay systems under sampled-data noisy output feedback and actuation disturbances ⋮ Sampled-data control of a class of time-delay nonlinear systems via memoryless feedback

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wirtinger's inequality and Lyapunov-based sampled-data stabilization
• A novel stability analysis of linear systems under asynchronous samplings
• Stability analysis of bilinear systems under aperiodic sampled-data control
• Robustness of nonlinear systems with respect to delay and sampling of the controls
• Robust sampled-data stabilization of linear systems: an input delay approach
• Time-delay systems. Lyapunov functionals and matrices
• A refined input delay approach to sampled-data control
• Robust backstepping for the Euler approximate model of sampled-data strict-feedback systems
• Control under quantization, saturation and delay: an LMI approach
• Delay effects on stability. A robust control approach
• Robustification of nonlinear stabilizers in the sample-and-hold sense
• Compensation of state-dependent state delay for nonlinear systems
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• Robust stabilization of a class of nonlinear time-delay systems
• Taking into account period variations and actuator saturation in sampled-data systems
• Exponential stability of impulsive systems with application to uncertain sampled-data systems
• On Sontag's formula for the input-to-state practical stabilization of retarded control-affine systems
• Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation
• Introduction to time-delay systems. Analysis and control
• Open- and closed-loop dissipation inequalities under sampling and controller emulation
• Quadratic stabilization of linear networked control systems via simultaneous protocol and controller design
• Global Stabilization of Feedforward Systems Under Perturbations in Sampling Schedule
• Necessary and sufficient Lyapunov-like conditions for robust nonlinear stabilization
• Global and Semi-Global Stabilization of Linear Systems With Multiple Delays and Saturations in the Input
• Input-output linearization of retarded non-linear systems by using an extension of Lie derivative
• Backstepping for Nonlinear Systems with Delay in the Input Revisited
• Quasi‐Optimal Robust Stabilization of Control Systems
• A Lyapunov characterization of robust stabilization
• Clocks and Insensitivity to Small Measurement Errors
• Asymptotic controllability implies feedback stabilization
• Input‐output linearization with delay cancellation for nonlinear delay systems: the problem of the internal stability
• Optimization-Based Stabilization of Sampled-Data Nonlinear Systems via Their Approximate Discrete-Time Models
• Smooth stabilization implies coprime factorization
• Inverse Optimality in Robust Stabilization
• Finite-Time Stability and Stabilization of a Class of Nonlinear Time-Delay Systems
• Input-to-State Stability of Time-Delay Systems: A Link With Exponential Stability
• Explicit Computation of the Sampling Period in Emulation of Controllers for Nonlinear Sampled-Data Systems
• Input-to-State Stabilization of Stabilizable, Time-Delay, Control-Affine, Nonlinear Systems
• Stabilization in the Sample-and-Hold Sense of Nonlinear Retarded Systems
• Input–Output Feedback Linearization of Time-Delay Systems
• A Framework for Stabilization of Nonlinear Sampled-Data Systems Based on Their Approximate Discrete-Time Models
• Input–Output Stability Properties of Networked Control Systems
• Sliding-Mode Control of Retarded Nonlinear Systems Via Finite Spectrum Assignment Approach
• A Lyapunov Proof of an Improved Maximum Allowable Transfer Interval for Networked Control Systems
• Asymptotic Controllability and Robust Asymptotic Stabilizability
• On Saturation, Discontinuities, and Delays, in iISS and ISS Feedback Control Redesign
• Nonlinear Stabilization Under Sampled and Delayed Measurements, and With Inputs Subject to Delay and Zero-Order Hold
• Compensation of State-Dependent Input Delay for Nonlinear Systems
• Stability Analysis of Sampled-Data Systems Using Sum of Squares
• Hybrid dynamical systems
• On the lyapunov's functionals method for systems with delays
• Global stabilization of a class of time-delay nonlinear systems
• On Stability Preservation under Sampling and Approximation of Feedbacks for Retarded Systems
• Stability of time-delay systems
• Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations

This page was built for publication: Robustification of sample-and-hold stabilizers for control-affine time-delay systems