Lyapunov-based hybrid loops for stability and performance of continuous-time control systems

DOI10.1016/j.automatica.2012.11.030zbMath1259.93070OpenAlexW2024941683MaRDI QIDQ1940288

Luca Zaccarian, Christophe Prieur, Sophie Tarbouriech

Publication date: 6 March 2013

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2012.11.030

zbMATH Keywords

performancehybrid systemsdetectabilityLyapunov methodsasymptotic controllabilityreset controllers

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (13)

On \(\mathcal{L}_2\) gain performance improvement of linear systems with Lyapunov-based reset control ⋮ LQ-based event-triggered controller co-design for saturated linear systems ⋮ Reset control of the double integrator with finite settling time and finite jerk ⋮ Frequency-domain tools for stability analysis of reset control systems ⋮ Analysis and synthesis of linear hybrid systems with state-triggered jumps ⋮ L₂-gain analysis of reset control for piecewise-affine systems with input saturation ⋮ Frequency-domain modelling of reset control systems using an impulsive description ⋮ ℋ2 reset controller design for linear systems using piecewise quadratic Lyapunov functions ⋮ Overcoming overshoot performance limitations of linear systems with reset control ⋮ Reset observers for linear time-varying delay systems: delay-dependent approach ⋮ Reset control systems: the zero-crossing resetting law ⋮ Split-path nonlinear integral control for transient performance improvement ⋮ Event-triggered controller design for linear systems with saturated input and bounded disturbance

This page was built for publication: Lyapunov-based hybrid loops for stability and performance of continuous-time control systems