eBook

Adaptive control of parabolic PDEs

Krstic, Miroslav, Smyshlyaev, Andrey

2010

Overview

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.

• Publisher: Princeton University Press
• Subject: 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
• ISBN: 9780691142869, 0691142866, 1400835364, 9781400835362