## Adaptive Control of Parabolic PDEsThis 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. |

### What people are saying - Write a review

### Contents

1 | |

11 | |

ADAPTIVE SCHEMES | 109 |

Appendix A Adaptive Backstepping for Nonlinear ODEsThe Basics | 277 |

Appendix B Poincaré and Agmon Inequalities | 305 |

Appendix C Bessel Functions | 307 |

Appendix D Barbalats and Other Lemmas for Proving Adaptive Regulation | 310 |

Appendix E Basic Parabolic PDEs and Their Exact Solutions | 313 |

317 | |

Index | 327 |