State Observers for Linear Systems with Uncertainty


Book Description

This book presents the basic concepts and recent developments of linear control problems with perturbations. The presentation concerns both continuous and discrete dynamical systems. It is self-contained and illustrated by numerous examples. From the contents: Notion of state observers Observability Observers of full-phase vectors for fully determined linear systems Functional observers for fully determined linear systems Asymptotic observers for linear systems with uncertainty Observers for bilinear and discrete systems




Observers for Linear Systems


Book Description

My aim, in writing this monograph, has been to remedy this omission by presenting a comprehensive and unified theory of observers for continuous-time and discrete -time linear systems. The book is intended for post-graduate students and researchers specializing in control systems, now a core subject in a number of disciplines. Forming, as it does, a self-contained volume it should also be of service to control engineers primarily interested in applications, and to mathematicians with some exposure to control problems.




Advances in Observer Design and Observation for Nonlinear Systems


Book Description

This book discusses various methods for designing different kinds of observers, such as the Luenberger observer, unknown input observers, discontinuous observers, sliding mode observers, observers for impulsive systems, observers for nonlinear Takagi-Sugeno fuzzy systems, and observers for electrical machines. A hydraulic process system and a renewable energy system are provided as examples of applications.




Functional Observers for Dynamical Systems


Book Description

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.




Observers for Systems with Unknown, Unmeasurable Inputs


Book Description

The theory of observers for linear, time invariant systems is generalized to systems where some of the system inputs are unmeasurable (or inaccessible) and statistically unknown. Criteria for the existence of such observers for systems with a single output and a single unknown input are developed. When the number of unknown inputs is equal to the number of system outputs, it is shown that the observer may be decomposed into a set of equivalent single output, single unknown input systems for which the previous results apply. For systems with more outputs than unknown inputs, a minimal number of outputs, derived from linear combinations of the original system output is examined. For sampled data measurements, it is shown that there are considerable practical advantages to sampling an ovserver error signal rather than the system outputs and inputs directly. A solution for the initial system state corresponding to the continuous-time stochastic smoothing filter is obtained. (Author).




Observer-Based Fault Estimation Techniques


Book Description

This book investigates observer-fault estimation techniques in detail, while also highlighting recent research and findings regarding fault estimation. Many practical control systems are subject to possible malfunctions, which may cause significant performance loss or even system instability. To improve the reliability, performance and safety of dynamical systems, fault diagnosis techniques are now receiving considerable attention, both in research and applications, and have been the subject of intensive investigations. Fault detection – the essential first step in fault diagnosis – is a binary decision-making process used to determine whether or not a fault has occurred. In turn, fault isolation is used to identify the location of the faulty component, while fault estimation is used to identify the size of the fault online. Compared with the problems involved in fault detection and isolation, fault estimation is considerably more challenging.




New Trends in Observer-Based Control


Book Description

New Trends in Observer-Based Control: An Introduction to Design Approaches and Engineering Applications, Volume One presents a clear-and-concise introduction to the latest advances in observer-based control design. It provides a comprehensive tutorial on new trends in the design of observer-based controllers for which the separation principle is well established. In addition, since the theoretical developments remain more advanced than the engineering applications, more experimental results are still needed. A wide range of applications are covered, and the book contains worked examples which make it ideal for both advanced courses and researchers starting in the field. - Presents a clear-and-concise introduction to the latest advances in observer-based control design - Offers concise content on the many facets of observer-based control design - Discusses key applications in the fields of power systems, robotics and mechatronics, and flight and automotive systems




Robust Observer-Based Fault Diagnosis for Nonlinear Systems Using MATLAB®


Book Description

This book introduces several observer-based methods, including: • the sliding-mode observer • the adaptive observer • the unknown-input observer and • the descriptor observer method for the problem of fault detection, isolation and estimation, allowing readers to compare and contrast the different approaches. The authors present basic material on Lyapunov stability theory, H¥ control theory, sliding-mode control theory and linear matrix inequality problems in a self-contained and step-by-step manner. Detailed and rigorous mathematical proofs are provided for all the results developed in the text so that readers can quickly gain a good understanding of the material. MATLAB® and Simulink® codes for all the examples, which can be downloaded from http://extras.springer.com, enable students to follow the methods and illustrative examples easily. The systems used in the examples make the book highly relevant to real-world problems in industrial control engineering and include a seventh-order aircraft model, a single-link flexible joint robot arm and a satellite controller. To help readers quickly find the information they need and to improve readability, the individual chapters are written so as to be semi-independent of each other. Robust Oberserver-Based Fault Diagnosis for Nonlinear Systems Using MATLAB® is of interest to process, aerospace, robotics and control engineers, engineering students and researchers with a control engineering background.




Modelling and Estimation Strategies for Fault Diagnosis of Non-Linear Systems


Book Description

This monograph presents a variety of techniques that can be used for designing robust fault diagnosis schemes for non-linear systems. The introductory part of the book is of a tutorial value and can be perceived as a good starting point for the new-comers to this field. Subsequently, advanced robust observer structures are presented. Parameter estimation based techniques are discussed as well. A particular attention is drawn to experimental design for fault diagnosis. The book also presents a number of robust soft computing approaches utilizing evolutionary algorithms and neural networks. All approaches described in this book are illustrated by practical applications.