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Robust Filtering for Uncertain Systems

Robust Filtering for Uncertain Systems
Author: Huijun Gao
Publisher: Springer Science & Business Media
Total Pages: 259
Release: 2014-04-10
Genre: Technology & Engineering
ISBN: 3319059033

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This monograph provides the reader with a systematic treatment of robust filter design, a key issue in systems, control and signal processing, because of the fact that the inevitable presence of uncertainty in system and signal models often degrades the filtering performance and may even cause instability. The methods described are therefore not subject to the rigorous assumptions of traditional Kalman filtering. The monograph is concerned with robust filtering for various dynamical systems with parametric uncertainties and focuses on parameter-dependent approaches to filter design. Classical filtering schemes, like H2 filtering and H¥ filtering, are addressed and emerging issues such as robust filtering with constraints on communication channels and signal frequency characteristics are discussed. The text features: · design approaches to robust filters arranged according to varying complexity level and emphasizing robust filtering in the parameter-dependent framework for the first time; · guidance on the use of special realistic phenomena or factors to describe problems more accurately and to improve filtering performance; · a unified linear matrix inequality formulation of design approaches for easy and effective filter design; · demonstration of the techniques of matrix decoupling technique, the generalized Kalman‒Yakubovich‒Popov lemma, the free weighting matrix technique and the delay modelling approach, in robust filtering; · numerous easy-to-follow simulation examples, graphical and tabular illustrations to help the reader understand the filter design approaches developed; and · an account of emerging issues on robust filtering for research to inspire future investigation. Robust Filtering for Uncertain Systems will be of interest to academic researchers specializing in linear, robust and optimal control and estimation and to practitioners working in tracking and network control or signal filtering, detection and estimation. Graduate students learning control and systems theory, signal processing or applied mathematics will also find the book to be a valuable resource.


Robust Kalman Filtering for Signals and Systems with Large Uncertainties

Robust Kalman Filtering for Signals and Systems with Large Uncertainties
Author: Ian R. Petersen
Publisher: Springer Science & Business Media
Total Pages: 206
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461215943

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A significant shortcoming of the state space control theory that emerged in the 1960s was its lack of concern for the issue of robustness. However, in the design of feedback control systems, robustness is a critical issue. These facts led to great activity in the research area of robust control theory. One of the major developments of modern control theory was the Kalman Filter and hence the development of a robust version of the Kalman Filter has become an active area of research. Although the issue of robustness in filtering is not as critical as in feedback control (where there is always the issue of instability to worry about), research on robust filtering and state estimation has remained very active in recent years. However, although numerous books have appeared on the topic of Kalman filtering, this book is one of the first to appear on robust Kalman filtering. Most of the material presented in this book derives from a period of research collaboration between the authors from 1992 to 1994. However, its origins go back earlier than that. The first author (LR. P. ) became in terested in problems of robust filtering through his research collaboration with Dr. Duncan McFarlane. At this time, Dr. McFarlane was employed at the Melbourne Research Laboratories ofBHP Ltd. , a large Australian min erals, resources, and steel processing company.


Robust Output Feedback H-infinity Control and Filtering for Uncertain Linear Systems

Robust Output Feedback H-infinity Control and Filtering for Uncertain Linear Systems
Author: Xiao-Heng Chang
Publisher: Springer Science & Business
Total Pages: 254
Release: 2014-05-02
Genre: Technology & Engineering
ISBN: 3642551076

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"Robust Output Feedback H-infinity Control and Filtering for Uncertain Linear Systems" discusses new and meaningful findings on robust output feedback H-infinity control and filtering for uncertain linear systems, presenting a number of useful and less conservative design results based on the linear matrix inequality (LMI) technique. Though primarily intended for graduate students in control and filtering, the book can also serve as a valuable reference work for researchers wishing to explore the area of robust H-infinity control and filtering of uncertain systems. Dr. Xiao-Heng Chang is a Professor at the College of Engineering, Bohai University, China.


Robust Control and Filtering of Singular Systems

Robust Control and Filtering of Singular Systems
Author: Shengyuan Xu
Publisher: Lecture Notes in Control and Information Sciences
Total Pages: 256
Release: 2006-04-21
Genre: Language Arts & Disciplines
ISBN:

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Singular systems have been widely studied in the past two decades due to their extensive applications in modelling and control of electrical circuits, power systems, economics and other areas. Interest has grown recently in the stability analysis and control of singular systems with parameter uncertainties due to their frequent presence in dynamic systems, which is much more complicated than that of state-space systems because controllers must be designed so that the closed-loop system is not only robustly stable, but also regular and impulse-free (in the continuous case) or causal (in the discrete case), while the latter two issues do not arise in the state-space case. This monograph aims to present up-to-date research developments and references on robust control and filtering of uncertain singular systems in a unified matrix inequality setting. It provides a coherent approach to studying control and filtering problems as extensions of state-space systems without the commonly used slow-fast decomposition. It contains valuable reference material for researchers wishing to explore the area of singular systems, and its contents are also suitable for a one-semester graduate course.


Optimal, Predictive, and Adaptive Control

Optimal, Predictive, and Adaptive Control
Author: Edoardo Mosca
Publisher: Pearson Education
Total Pages: 504
Release: 1995
Genre: Mathematics
ISBN:

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Using a common unifying framework, this volume explores the main topics of Linear Quadratic control, predictive control, and adaptive predictive control -- in terms of theoretical foundations, analysis and design methodologies, and application-orient ed tools.Presents LQ and LQG control via two alternative approaches: the Dynamic Programming (DP) and the Polynomial Equation (PE) approach. Discusses predicable control, an important tool in industrial applications, within the framework of LQ control, and presents innovative predictive control schemes having guaranteed stability properties. Offers a unique, thorough presentation of indirect adaptive multi-step predictive controllers, with detailed proofs of globally convergent schemes for both the ideal and the bounded disturbance case. Extends the self-tuning property of one-step-ahead control to multi-step control.For engineers and mathematicians interested in the theory, analysis and design methodologies, and application-oriented tools of optimal, predictive and adaptive control.


European Control Conference 1995

European Control Conference 1995
Author:
Publisher: European Control Association
Total Pages: 882
Release: 1995-09-05
Genre:
ISBN:

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Proceedings of the European Control Conference 1995, Rome, Italy 5-8 September 1995


Non-monotonic Approach to Robust H∞ Control of Multi-model Systems

Non-monotonic Approach to Robust H∞ Control of Multi-model Systems
Author: Jiwei Wen
Publisher: Academic Press
Total Pages: 222
Release: 2019-06-06
Genre: Technology & Engineering
ISBN: 0128148691

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Non-monotonic Approach to Robust H∞ Control of Multi-model Systems focuses on robust analysis and synthesis problems for multi-model systems based on the non-monotonic Lyapunov Functionals (LFs) approach that enlarges the stability region and improves control performance. By fully considering the diversity of switching laws, the multi-step time difference, the multi-step prediction, and the expansion of system dimension, the non-monotonic LF can be properly constructed. The focus of this book is placed on the H∞ state feedback control, H∞ filtering and H∞ output feedback control for multi-model systems via a non-monotonic LF approach. The book's authors provide illustrative examples to show the feasibility and efficiency of the proposed methods, along with practical examples that demonstrate the effectiveness and potential of theoretical results. Offers tools for the analysis and design of control processes where the process can be represented by multi-models Presents a comprehensive explanation of recent developments in non-monotonic approaches to robust H-infinity control of multi-model systems Gives numerical examples and simulation results in each chapter to demonstrate engineering potential


Stochastic Control

Stochastic Control
Author: Chris Myers
Publisher: BoD – Books on Demand
Total Pages: 663
Release: 2010-08-17
Genre: Computers
ISBN: 9533071214

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Uncertainty presents significant challenges in the reasoning about and controlling of complex dynamical systems. To address this challenge, numerous researchers are developing improved methods for stochastic analysis. This book presents a diverse collection of some of the latest research in this important area. In particular, this book gives an overview of some of the theoretical methods and tools for stochastic analysis, and it presents the applications of these methods to problems in systems theory, science, and economics.