This concise and practical textbook presents an introduction to backstepping, an elegant new approach to boundary control of partial differential equations (PDEs). Suitable for both beginning and advanced graduate students in control theory, with no background beyond that of a typical engineering or physics graduate.
This concise and practical textbook presents an introduction to backstepping, an elegant new approach to boundary control of partial differential equations (PDEs). Suitable for both beginning and advanced graduate students in control theory, with no background beyond that of a typical engineering or physics graduate.
Miroslav Krstic is Sorenson Professor of Mechanical and Aerospace Engineering at the University of California, San Diego (UCSD), and the founding Director of the Center for Control Systems and Dynamics at UCSD.
Inhaltsangabe
1. List of Figures 2. List of Tables 3. Preface 4. Introduction 5. Lyapunov Stability 6. Exact Solutions to PDEs 7. Parabolic PDEs: Reaction-Advection-Diffusion and Other Equations 8. Observer Design 9. Complex-Valued PDEs: Schrodinger and Ginzburg–Landau Equations 10. Hyperbolic PDEs: Wave Equations 11. Beam Equations 12. First-Order Hyperbolic PDEs and Delay Equations 13. Kuramoto–Sivashinsky, Korteweg–de Vries, and Other “Exotic” Equations 14. Navier–Stokes Equations 15. Motion Planning for PDEs 16. Adaptive Control for PDEs 17. Towards Nonlinear PDEs 18. Appendix: Bessel Functions 19. Bibliography 20. Index