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
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