Boundary sliding mode control of a system of linear hyperbolic equations: a Lyapunov approach
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Publication:2059355
DOI10.1016/j.automatica.2021.109964zbMath1478.93093OpenAlexW3205120499WikidataQ115583192 ScholiaQ115583192MaRDI QIDQ2059355
Ismaïla Balogoun, Franck Plestan, Swann Marx, Thibault Liard
Publication date: 14 December 2021
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2021.109964
Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Variable structure systems (93B12)
Related Items (3)
ISS Lyapunov Strictification via Observer Design and Integral Action Control for a Korteweg–de Vries Equation ⋮ Finite-time sliding mode control for singularly perturbed PDE systems ⋮ Stabilization of a microbeam model with distributed disturbance
Cites Work
- Unnamed Item
- Unnamed Item
- Stability and boundary stabilization of 1-D hyperbolic systems
- Minimum time control of heterodirectional linear coupled hyperbolic PDEs
- Boundary control of coupled reaction-diffusion processes with constant parameters
- \(L^p\)-asymptotic stability analysis of a 1D wave equation with a nonlinear damping
- Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems
- Boundary feedback control in networks of open channels.
- Output regulation for general linear heterodirectional hyperbolic systems with spatially-varying coefficients
- Robust output feedback stabilization for two heterodirectional linear coupled hyperbolic PDEs
- Decay of approximate solutions for the damped semilinear wave equation on a bounded 1d domain
- Finite-time output regulation for linear \(2\times 2\) hyperbolic systems using backstepping
- Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
- Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
- Backstepping-Forwarding Control and Observation for Hyperbolic PDEs With Fredholm Integrals
- New methodologies for adaptive sliding mode control
- Boundary Control of PDEs
- Survey of Measurable Selection Theorems
- Finite Volume Methods for Hyperbolic Problems
- Delay-Robust Control Design for Two Heterodirectional Linear Coupled Hyperbolic PDEs
- A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance
- Stability Analysis of Dissipative Systems Subject to Nonlinear Damping via Lyapunov Techniques
- Sliding Mode Control for a Nonlinear Phase-Field System
- Analysis and design of integral sliding manifolds for systems with unmatched perturbations
- Exponential Stabilization of the Uncertain Wave Equation via Distributed Dynamic Input Extension
- Disturbance rejection in 2 x 2 linear hyperbolic systems
- Sliding Mode and Active Disturbance Rejection Control to Stabilization of One-Dimensional Anti-Stable Wave Equations Subject to Disturbance in Boundary Input
- Stabilization of a System of <formula formulatype="inline"> <tex Notation="TeX">$n+1$</tex></formula> Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input
- Adding Integral Action for Open-Loop Exponentially Stable Semigroups and Application to Boundary Control of PDE Systems
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