Adaptive control of parabolic PDEs

This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev a...

Full description

Saved in:
Bibliographic Details
Main Authors: Smyshlyaev, Andrey, Krstic, Miroslav
Format: eBook Book
Language:English
Published: Princeton Princeton University Press 2010
Edition:1
Subjects:
Accuracy and precision
Actuator
Adaptive control
Adaptive control systems
Adaptive system
Asymptotic analysis
Backstepping
Bode plot
Boundary value problem
Bounded operator
Categorization
Change of variables
Coefficient
Computation
Control engineering
Control variable
Derivative
Deterministic system
Differential equation
Differential equations, Parabolic
Dimension (vector space)
Dirichlet boundary condition
Discretization
Distributed parameter systems
Eigenfunction
Eigenvalues and eigenvectors
Error term
Estimation
Estimation theory
Estimator
Extended Kalman filter
Feedback linearization
Frequency domain
Gradient method
Identifiability
Identifier
Initial condition
Instability
Integral equation
Integrator
Inverse Laplace transform
Laplace transform
Least squares
Linear differential equation
Linear programming
Linearization
Lyapunov function
Mathematical optimization
MATHEMATICS
MATHEMATICS / Applied
MATHEMATICS / Differential Equations / General
Measurement
Minimum phase
Nonlinear control
Nonlinear system
Observability
Optimal control
Parameter
Parametric model
Parametrization
Phase margin
Pointwise
Rate of convergence
Reynolds number
Riccati equation
Robustification
Sensor
Separation principle
Symbolic computation
System identification
Theorem
Transfer function
Uncertainty
Variable (mathematics)
Volterra operator
Wave equation
Wave equation
Parametrization
Identifiability
Linear differential equation
Eigenfunction
Bounded operator
Symbolic computation
Identifier
Bode plot
Eigenvalues and eigenvectors
Integral equation
System identification
Laplace transform
Accuracy and precision
Nonlinear control
Linearization
Frequency domain
Estimation
Nonlinear system
Estimator
Reynolds number
Robustification
Control variable
Dimension (vector space)
Control engineering
Boundary value problem
Computation
Least squares
Volterra operator
Derivative
Phase margin
Mathematical optimization
Lyapunov function
Sensor
Measurement
Uncertainty
Error term
Adaptive system
Differential equation
Change of variables
Parametric model
Dirichlet boundary condition
Adaptive control
Discretization
Inverse Laplace transform
Pointwise
Integrator
Theorem
Transfer function
Asymptotic analysis
Rate of convergence
Gradient method
Observability
Categorization
Actuator
Backstepping
Coefficient
Initial condition
Estimation theory
Linear programming
Separation principle
Extended Kalman filter
Variable (mathematics)
Optimal control
Parameter
Deterministic system
Instability
Feedback linearization
Riccati equation
Minimum phase
ISBN:9780691142869, 0691142866, 1400835364, 9781400835362
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also presents a rich collection of methods for system identification of PDEs, methods that employ Lyapunov, passivity, observer-based, swapping-based, gradient, and least-squares tools and parameterizations, among others. Including a wealth of stimulating ideas and providing the mathematical and control-systems background needed to follow the designs and proofs, the book will be of great use to students and researchers in mathematics, engineering, and physics. It also makes a valuable supplemental text for graduate courses on distributed parameter systems and adaptive control.
Bibliography:Includes bibliographical references and index
ISBN:9780691142869
0691142866
1400835364
9781400835362
DOI:10.1515/9781400835362