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...

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Hlavní autoři:	Smyshlyaev, Andrey, Krstic, Miroslav
Médium:	E-kniha Kniha
Jazyk:	angličtina
Vydáno:	Princeton Princeton University Press 2010
Vydání:	1
Témata:	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
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Popis
Shrnutí:	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.
Bibliografie:	Includes bibliographical references and index
ISBN:	9780691142869 0691142866 1400835364 9781400835362
DOI:	10.1515/9781400835362