Predictor methods for finite-dimensional observer-based control of stochastic parabolic PDEs

DOI10.1016/j.sysconle.2023.105632zbMath1530.93135MaRDI QIDQ6069654

Pengfei Wang, Eh. M. Fridman

Publication date: 14 November 2023

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

time-delay systemsdistributed parameter systemsstochastic systemspredictor-based control

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) PDEs with randomness, stochastic partial differential equations (35R60) Semilinear parabolic equations (35K58) Delay control/observation systems (93C43) Observers (93B53)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Robust sampled-data control of a class of semilinear parabolic systems
• Boundary stabilization of the stochastic heat equation by proportional feedbacks
• Sampled-data boundary feedback control of 1-D parabolic PDEs
• Finite-dimensional controllers for linear distributed parameter systems: Exponential stability using residual mode filters
• Delayed point control of a reaction-diffusion PDE under discrete-time point measurements
• Simple LMIs for stability of stochastic systems with delay term given by Stieltjes integral or with stabilizing delay
• Exponential stabilization of the stochastic Burgers equation by boundary proportional feedback
• Finite-dimensional control of the heat equation: Dirichlet actuation and point measurement
• Predictor-based output feedback stabilization of an input delayed parabolic PDE with boundary measurement
• Delayed finite-dimensional observer-based control of 1D parabolic PDEs via reduced-order LMIs
• Global finite-dimensional observer-based stabilization of a semilinear heat equation with large input delay
• Constructive method for finite-dimensional observer-based control of 1-D parabolic PDEs
• Predictor-based control of stochastic systems with nonlinear diffusions and input delay
• Robust predictor based control of state multiplicative noisy retarded systems
• Introduction to time-delay systems. Analysis and control
• Delayed finite-dimensional observer-based control of 1-D parabolic PDEs
• Constructive finite-dimensional boundary control of stochastic 1D parabolic PDEs
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Predictor-Based Control of Systems With State Multiplicative Noise
• Finite-dimensional compensator design for parabolic distributed systems with point sensors and boundary input
• Observer Design For a Class of Parabolic Systems With Large Delays and Sampled Measurements
• Lyapunov-based boundary feedback design for parabolic PDEs
• Mathematical Control Theory for Stochastic Partial Differential Equations
• Stochastic Equations in Infinite Dimensions
• Functional Analysis
• Boundary Delayed Observer-Controller Design for Reaction–Diffusion Systems