Interfaces
ACC'09 Proceedings of the 2009 conference on American Control Conference
Iterative design of suboptimal feedback control for bilinear parabolic PDE systems
ACC'09 Proceedings of the 2009 conference on American Control Conference
Rapidly convergent leader-enabled multi-agent deployment into planar curves
ACC'09 Proceedings of the 2009 conference on American Control Conference
ACC'09 Proceedings of the 2009 conference on American Control Conference
Adaptive tracking controller for systems with unknown long delay and unknown parameters in the plant
ACC'09 Proceedings of the 2009 conference on American Control Conference
Automatica (Journal of IFAC)
Robust adaptive boundary control of a flexible marine riser with vessel dynamics
Automatica (Journal of IFAC)
Brief paper: Adaptive boundary control of a flexible marine installation system
Automatica (Journal of IFAC)
Adaptive control scheme for uncertain time-delay systems
Automatica (Journal of IFAC)
Stabilization of linear heat equation with a heat source at intermediate point by boundary control
Automatica (Journal of IFAC)
Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs
Automatica (Journal of IFAC)
Boundary observers for linear and quasi-linear hyperbolic systems with application to flow control
Automatica (Journal of IFAC)
Journal of Dynamical and Control Systems
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This concise and highly usable textbook presents an introduction to backstepping, an elegant new approach to boundary control of partial differential equations (PDEs). Backstepping provides mathematical tools for converting complex and unstable PDE systems into elementary, stable, and physically intuitive "target PDE systems" that are familiar to engineers and physicists. The text s broad coverage includes parabolic PDEs; hyperbolic PDEs of first and second order; fluid, thermal, and structural systems; delay systems; PDEs with third and fourth derivatives in space; real-valued as well as complex-valued PDEs; stabilization as well as motion planning and trajectory tracking for PDEs; and elements of adaptive control for PDEs and control of nonlinear PDEs. It is appropriate for courses in control theory and includes homework exercises and a solutions manual that is available from the authors upon request. Audience: This book is intended for both beginning and advanced graduate students in a one-quarter or one-semester course on backstepping techniques for boundary control of PDEs. It is also accessible to engineers with no prior training in PDEs. Contents: List of Figures; List of Tables; Preface; Introduction; Lyapunov Stability; Exact Solutions to PDEs; Parabolic PDEs: Reaction-Advection-Diffusion and Other Equations; Observer Design; Complex-Valued PDEs: Schrodinger and Ginzburg Landau Equations; Hyperbolic PDEs: Wave Equations; Beam Equations; First-Order Hyperbolic PDEs and Delay Equations; Kuramoto Sivashinsky, Korteweg de Vries, and Other Exotic Equations; Navier Stokes Equations; Motion Planning for PDEs; Adaptive Control for PDEs; Towards Nonlinear PDEs; Appendix: Bessel Functions; Bibliography; Index