Predictive feedback boundary control of semilinear and quasilinear \(2 \times 2\) hyperbolic PDE-ODE systems

DOI10.1016/j.automatica.2022.110272zbMath1485.93191arXiv2105.09039OpenAlexW3160846850WikidataQ114204835 ScholiaQ114204835MaRDI QIDQ2125564

Ole Morten Aamo, Michael Cantoni, Timm Strecker

Publication date: 14 April 2022

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.09039

zbMATH Keywords

boundary controlestimationstabilizationdistributed-parameter systemshyperbolic PDE-ODE systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Output feedback boundary control of heterodirectional semilinear hyperbolic systems ⋮ Local exponential stabilization of a coupled ODE-Fisher's PDE system ⋮ Output regulation for general heterodirectional linear hyperbolic PDEs coupled with nonlinear ODEs ⋮ Compensation of input-dependent hydraulic input delay for a model of a microfluidic process under Zweifach-Fung effect ⋮ Output‐feedback fault‐tolerant tracking control for coupled 2 × 2 hyperbolic PDE systems with multiplicative sensor faults

Cites Work

• Unnamed Item
• Stability and boundary stabilization of 1-D hyperbolic systems
• Finite-time and fixed-time observer design: implicit Lyapunov function approach
• Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems
• The effect of boundary damping for the quasilinear wave equation
• Output feedback boundary control of \(2 \times 2\) semilinear hyperbolic systems
• Global boundary controllability of the de St. Venant equations between steady states
• Output feedback boundary control of heterodirectional semilinear hyperbolic systems
• Robust output feedback stabilization of an ODE-PDE-ODE interconnection
• Output-feedback control of an underactuated network of interconnected hyperbolic PDE-ODE systems
• Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
• Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
• Exact boundary observability for quasilinear hyperbolic systems
• Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems
• Semi-globalC¹solution and exact boundary controllability for reducible quasilinear hyperbolic systems
• A Global High-Gain Finite-Time Observer
• A continuous-time observer which converges in finite time
• A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws