Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint

Description

This book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems. Several algorithms are proposed and worked out for a set of model systems, in particular so-called input-affine or bilinear systems, which can serve to approximate a wide class of nonlinear control systems. These can either take the form of state space models or be represented by an input-output equation. The approach taken here further highlights the role of modern mathematical and conceptual tools, including differential algebraic theory, observer design for nonlinear systems and generalized canonical forms. Front Matter....Pages i-xx Introduction....Pages 1-6 Differential Algebra in Control Theory....Pages 7-14 Algebraic Observability for Nonlinear Systems....Pages 15-24 Generalized Observability Canonical Form....Pages 25-37 Observers for a Class of Nonlinear Systems....Pages 39-55 Observer-Based Local Stabilization and Asymptotic Output Tracking....Pages 57-75 Parametric Identification of Time-Varying Nonlinear Systems....Pages 77-91 More General Nonlinear Systems Case....Pages 93-103 A Separation Principle for Nonlinear Systems....Pages 105-157 Some Other Observers for Nonlinear Systems....Pages 159-186 Back Matter....Pages 187-197