Boundary Control of PDEs. A Course on Backstepping Designs
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Author(s): M. Krstic and A. Smyshlyaev
Publisher: SIAM
ISBN: 978089716504
Format: hardback
192pp
Price: $89.00
Review Date: 23 July 2008
Review: ‘Integrator backstepping’ began being used in about 1990 as a robust version of feedback linearization for nonlinear systems with uncertainties. It was particularly useful in situations where plant nonlinearity and the control input are in different equations. It has proved to be a good method to use for designing controllers for partial differential equation (PDE) systems. This textbook is designed to be used in a one-term course on backstepping techniques for boundary control of PDEs. It includes chapters on: Lyapunov stability; Exact solutions of PDEs; Parabolic PDEs; Observer design; Complex-valued PDEs; Hyperbolic PDEs; Beam equations; First-order hyperbolic PDEs and delay equations; Kuramoto–Sivashinsky, Korteweg–de Vries and other ‘exotic equations; Navier-Stokes equation; Motion planning for PDEs; and Towards nonlinear PDEs.