03902nam 22006615 450 991025457910332120200630022136.03-319-53040-210.1007/978-3-319-53040-6(CKB)3850000000027360(DE-He213)978-3-319-53040-6(MiAaPQ)EBC5590913(PPN)200512994(EXLCZ)99385000000002736020170405d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAlgorithms of Estimation for Nonlinear Systems A Differential and Algebraic Viewpoint /by Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XX, 197 p. 58 illus., 10 illus. in color.) Understanding Complex Systems,1860-0832Includes index.3-319-53039-9 Preface -- Analysis of input-affine nonlinear processes -- Basic Definitions of Differential Algebras -- Algebraic Observability Condition for Nonlinear systems and External behaviour -- Generalized Observability Canonical Forms -- Observer Synthesis -- Tracking and Stabilization Problems -- Parametric and State Estimation -- Observer synthesis for a more general class of Nonlinear Systems -- A Separation Principle for Nonlinear Systems -- Some uncommon observers with interesting applications -- Appendix A Singularity Treatment -- Appendix B Some properties for Nonlinear Systems.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.Understanding Complex Systems,1860-0832Statistical physicsVibrationDynamical systemsDynamicsErgodic theoryApplications of Nonlinear Dynamics and Chaos Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P33020Vibration, Dynamical Systems, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/T15036Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XStatistical Physics and Dynamical Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P19090Statistical physics.Vibration.Dynamical systems.Dynamics.Ergodic theory.Applications of Nonlinear Dynamics and Chaos Theory.Vibration, Dynamical Systems, Control.Dynamical Systems and Ergodic Theory.Statistical Physics and Dynamical Systems.530.15Martínez-Guerra Rafaelauthttp://id.loc.gov/vocabulary/relators/aut791790Cruz-Ancona Christopher Diegoauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254579103321Algorithms of Estimation for Nonlinear Systems2047113UNINA