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Book Cover
Book
Author Trinh, Hieu.

Title Functional observers for dynamical systems / Hieu Trinh and Tyrone Fernando
Published Berlin : Springer, [2012]
©2012

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 MELB  629.8312 Tri/Fof  AVAILABLE
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Description xii, 217 pages : illustrations ; 24 cm
Series Lecture notes in control and information sciences, 0170-8643 ; 420
Lecture notes in control and information sciences. 0170-8643 ; 420
Contents Contents note continued: 2.7.Reduced-Order State Observers for Descriptor Systems -- 2.7.1.Design Algorithm -- 2.7.2.A Numerical Example -- 2.8.Unknown Input Observers -- 2.9.Conclusion -- 3.Linear Functional Observers -- 3.1.Introduction -- 3.2.Functional State Reconstruction Problem -- 3.3.Existence Conditions -- 3.4.Scalar Functional Observers of Order (v--1) -- 3.4.1.Design Algorithm 1: Scalar Function with Order q = (v--1) -- 3.4.2.A Numerical Example -- 3.5.Multi-functional Observers -- 3.5.1.Design Algorithm 2: Multiple Functions with Order q = r -- 3.5.2.A Numerical Example -- 3.6.An Upper Bound for the Order of Multi-functional Observers -- 3.6.1.Design Algorithm 3: Multiple Functions with Order q = qu -- 3.6.2.A Numerical Example -- 3.7.Further Remarks -- 3.8.Conclusion -- 4.A Parametric Approach to the Design of Reduced-Order Linear Functional Observers -- 4.1.Introduction -- 4.2.Preliminaries -- 4.2.1.Generalized Sylvester Matrix Equation --
Contents note continued: 4.2.2.Observable Canonical Form -- 4.3.Design of Reduced-Order Scalar Functional Observers -- 4.3.1.Design Algorithm 1: Scalar Functional Observers of Order q < (v--1) -- 4.3.2.Numerical Examples -- 4.4.Extension to Linear Systems with Unknown Inputs -- 4.4.1.First-Order Functional Observers -- 4.4.2.Design Algorithm 2: First-Order Observers -- 4.4.3.A Numerical Example -- 4.4.4.Second and Higher Order Functional Observers -- 4.4.5.A Numerical Example -- 4.5.Conclusion -- 5.Functional Unknown Input Observers: Further Results and Applications -- 5.1.Introduction -- 5.2.Delay-Free Functional Observers for Time-Delay Systems -- 5.3.Observer-Based Control of Multi-Agent Systems under Decentralized Information Structure -- 5.4.Multiple Functional Unknown Input Observers -- 5.4.1.A Numerical Example -- 5.5.A Common Disturbance Decoupled Observer for Linear Systems with Unknown Inputs -- 5.5.1.A Decision Logic Switch -- 5.5.2.Construction of Ωl --
Contents note continued: 5.5.3.Construction of Ωu -- 5.5.4.Existence Conditions for a Common Functional Observer -- 5.5.5.A Numerical Example -- 5.5.6.Simulation Results -- 5.6.Conclusion -- 6.Functional State and Unknown Input Observers for Nonlinear Systems -- 6.1.Introduction -- 6.2.Partial State Estimation for Nonlinear Systems -- 6.2.1.Decomposition of the Nonlinear Function -- 6.2.2.Convergence of Observer -- 6.2.3.Solvability of the Design Matrices -- 6.2.4.A Numerical Example -- 6.3.Partial State Estimation for Nonlinear Systems with Unknown Inputs -- 6.3.1.Existence Conditions and Observer Design Procedure -- 6.3.2.A Numerical Example -- 6.4.State and Input Simultaneous Estimation for Nonlinear Systems -- 6.4.1.Observer Design Procedure -- 6.4.2.Design Algorithm -- 6.4.3.A Numerical Example -- 6.5.Conclusion -- 7.Simultaneous State and Input Estimation -- 7.1.Introduction -- 7.2.Simultaneous Estimation of States and Unknown Inputs --
Contents note continued: 7.2.1.Existence Conditions and an Observer Design Procedure -- 7.2.2.Design Algorithm: r Order Linear Functional Observer -- 7.2.3.Special Case 1 -- 7.2.4.Design Algorithm: (n + l - p) Order Observer -- 7.2.5.Special Case 2 -- 7.2.6.A Numerical Example -- 7.3.Simultaneous State and Unknown Input Estimation for Uncertain Time-Delay Systems -- 7.3.1.Reduced-Order Observer Design -- 7.3.2.Design Algorithm -- 7.3.3.A Numerical Example -- 7.4.Simultaneous Functional State and Unknown Input Estimation -- 7.4.1.Existence Conditions and a Design Procedure -- 7.4.2.Stability Condition of N + Nd -- 7.4.3.Functional Observers without Internal Delays -- 7.4.4.Delay-Free Functional Observers -- 7.5.Conclusion -- 8.Further Notes on Functional Observers -- 8.1.Introduction -- 8.2.A Revisit to Linear Functional Observers for Time-Delay Systems -- 8.2.1.Design Algorithm -- 8.2.2.A Numerical Example -- 8.3.Delayed Output Information -- 8.3.1.Design Algorithm --
Contents note continued: 8.3.2.A Numerical Example -- 8.3.3.Further Notes and Open Problems -- 8.4.Interconnected Systems -- 8.5.Conclusion
Machine generated contents note: 1.Introduction -- 2.State Observers for Different Types of Systems -- 2.1.Introduction -- 2.2.Full-Order State Observers for Linear Systems -- 2.2.1.Design Algorithm -- 2.2.2.A Numerical Example -- 2.3.Reduced-Order State Observers for Linear Systems -- 2.3.1.Design Algorithm -- 2.3.2.A Numerical Example -- 2.4.State Observers for Linear Systems with Unknown Inputs -- 2.4.1.Design of Full-Order Unknown Input Observers -- 2.4.2.Design Algorithm -- 2.4.3.A Numerical Example -- 2.4.4.Design of Reduced-Order Unknown Input Observers -- 2.4.5.Design Algorithm -- 2.4.6.A Numerical Example -- 2.5.Reduced-Order State Observers for Time-Delay Systems -- 2.5.1.Design Algorithm -- 2.5.2.A Numerical Example -- 2.5.3.Reduced-Order State Observers without Internal Delay -- 2.5.4.Design Algorithm -- 2.5.5.A Numerical Example -- 2.6.State Observers for Lipschitz Nonlinear Systems -- 2.6.1.Design Algorithm -- 2.6.2.A Numerical Example --
Summary The theory of linear functional observers, which is the subject of this book, is increasingly becoming a popular researched topic because of the many advantages it presents in state observation and control system design. This book presents recent information on the current state of the art research in this field. This book will serve as a useful reference to researchers in this area of research to understand the fundamental concepts relevant to the theory of functional observers and to gather most recent advancements in the field. This book is useful to academics and postgraduate students researching into the theory of linear functional observers. This book can also be useful for specialized final year undergraduate courses in control systems engineering and applied mathematics with a research focus
Analysis Control
Engineering
Systems Theory, Control
Systems theory
Bibliography Includes bibliographical references and index
Notes Also issued online
Subject Dynamics.
Observers (Control theory)
Author Fernando, Tyrone.
LC no. 2011938116
ISBN 9783642240638 (paperback)
(ebook)