Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities: 1st Edition (Hardback) book cover

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities

1st Edition

By Guoliang Wei, Zidong Wang, Wei Qian

CRC Press

250 pages | 47 B/W Illus.

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Hardback: 9781498760744
pub: 2016-08-18
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Description

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities presents a series of control and filtering approaches for stochastic systems with traditional and emerging engineering-oriented complexities. The book begins with an overview of the relevant background, motivation, and research problems, and then:

  • Discusses the robust stability and stabilization problems for a class of stochastic time-delay interval systems with nonlinear disturbances
  • Investigates the robust stabilization and H∞ control problems for a class of stochastic time-delay uncertain systems with Markovian switching and nonlinear disturbances
  • Explores the H∞ state estimator and H∞ output feedback controller design issues for stochastic time-delay systems with nonlinear disturbances, sensor nonlinearities, and Markovian jumping parameters
  • Analyzes the H∞ performance for a general class of nonlinear stochastic systems with time delays, where the addressed systems are described by general stochastic functional differential equations
  • Studies the filtering problem for a class of discrete-time stochastic nonlinear time-delay systems with missing measurement and stochastic disturbances
  • Uses gain-scheduling techniques to tackle the probability-dependent control and filtering problems for time-varying nonlinear systems with incomplete information
  • Evaluates the filtering problem for a class of discrete-time stochastic nonlinear networked control systems with multiple random communication delays and random packet losses
  • Examines the filtering problem for a class of nonlinear genetic regulatory networks with state-dependent stochastic disturbances and state delays
  • Considers the H∞ state estimation problem for a class of discrete-time complex networks with probabilistic missing measurements and randomly occurring coupling delays
  • Addresses the H∞ synchronization control problem for a class of dynamical networks with randomly varying nonlinearities

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities describes novel methodologies that can be applied extensively in lab simulations, field experiments, and real-world engineering practices. Thus, this text provides a valuable reference for researchers and professionals in the signal processing and control engineering communities.

Table of Contents

Introduction

Background, Motivation, and Research Problems

Outline

Robust Stabilization for Stochastic Time-Delay Interval Systems

Problem Formulation

Robust Stability Analysis

Delay-Dependent Robust Stabilization

An Illustrative Example

Summary

Robust H∞ Control for Markov Systems with Nonlinear Disturbance

Problem Formulation

Robust Stabilization

H∞ Control

An Illustrative Example

Summary

H∞ Filtering and Control for Markov Systems with Sensor Nonlinearities

Problem Formulation

H∞ Filtering

H∞ Dynamical Output Feedback Control

Summary

H∞ Analysis for Stochastic Differential Systems by Razumikhin Theory

Problem Formulation

Main Results

The L2 Gain Problem for Nonlinear Stochastic Delay System

Examples

Summary

Robust Filtering with Nonlinearities and Multiple Missing Measurements

Problem Formulation

Main Results

An Illustrative Example

Summary

Probability-Dependent Control with Randomly Occurring Nonlinearities

Problem Formulation

Gain-Scheduled Controller Design

Computationally Accessible Solution

An Illustrative Example

Summary

Probability-Dependent Filtering with Missing Measurements

Problem Formulation

Main Results

An Illustrative Example

Summary

Controller Design for 2-D Stochastic Nonlinear Roesser Model

Problem Formulation and Preliminaries

Main Results

An Illustrative Example

Summary

Filtering for Networked Control Systems with Multiple Delays

Problem Formulation

Main Results

An Illustrative Example

Summary

State Estimation for Stochastic Delayed Gene Regulatory Networks

Problem Formulation

Main Results

An Illustrative Example

Summary

State Estimation for Complex Networks with ROCD

Problem Formulation

Main Results

An Illustrate Example

Summary

H∞ Synchronization for Complex Networks with RVN

Problem Formulation

Main Results

An Illustrative Example

Summary

About the Authors

Guoliang Wei received his Ph.D in control engineering from Donghua University, Shanghai, China. He is currently a professor in the Department of Control Science and Engineering at the University of Shanghai for Science and Technology, China. He has conducted and assisted in research at the University of Duisburg–Essen, Germany; Brunel University, Uxbridge, UK; University of Hong Kong; and City University of Hong Kong. His research interests include nonlinear systems, stochastic systems, and bioinformatics. He is an active reviewer of, and has published more than 20 papers in, international journals.

Zidong Wang received his Ph.D in electrical and computer engineering from Nanjing University of Science and Technology, China. He is currently a professor of dynamical systems and computing at Brunel University London, UK. He has conducted research at Ruhr-University Bochum, Germany and Coventry University, UK; and lectured at the University of Kaiserslautern, Germany. His research interests include dynamical systems, signal processing, bioinformatics, and control theory and applications. Widely published and highly decorated, Professor Wang is a fellow of the Institute of Electrical and Electronics Engineers (IEEE) and an active reviewer and editor of international journals.

Wei Qian received his Ph.D from the College of Control Science and Engineering at Zhejiang University, Hangzhou, China, and conducted research in the college’s State Key Laboratory of Industrial Control Technology. He is currently an associate professor in the School of Electrical Engineering and Automation at Henan Polytechnic University, Jiaozuo, China. His research interests include time-delay systems, stochastic systems, and networked control systems.

About the Series

Engineering Systems and Sustainability

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Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
TEC007000
TECHNOLOGY & ENGINEERING / Electrical