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Record Nr. |
UNINA9910254579103321 |
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Autore |
MartÃnez-Guerra Rafael |
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Titolo |
Algorithms of Estimation for Nonlinear Systems : A Differential and Algebraic Viewpoint / / by Rafael MartÃnez-Guerra, Christopher Diego Cruz-Ancona |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
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ISBN |
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Edizione |
[1st ed. 2017.] |
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Descrizione fisica |
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1 online resource (XX, 197 p. 58 illus., 10 illus. in color.) |
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Collana |
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Understanding Complex Systems, , 1860-0832 |
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Disciplina |
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Soggetti |
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Statistical 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 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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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. |
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