Event-Triggered Transmission Protocol in Robust Control Systems

✍ Scribed by Niladri Sekhar Tripathy, Indra Narayan Kar, Kolin Paul

• Publisher: CRC Press
• Year: 2022
• Tongue: English
• Leaves: 157
• Category: Library

✦ Synopsis

Controlling uncertain networked control system (NCS) with limited communication among subcomponents is a challenging task and event-based sampling helps resolve the issue. This book considers event-triggered scheme as a transmission protocol to negotiate information exchange in resilient control for NCS via a robust control algorithm to regulate the closed loop behavior of NCS in the presence of mismatched uncertainty with limited feedback information. It includes robust control algorithm for linear and nonlinear systems with verification.

Features:

• Describes optimal control based robust control law for event-triggered systems.

• States results in terms of Theorems and Lemmas supported with detailed proofs.

• Presents the combination of network interconnected systems and robust control strategy.

• Includes algorithmic steps for precise understanding of the control technique.

• Covers detailed problem statement and proposed solutions along with numerical examples.

This book aims at Senior undergraduate, Graduate students, and Researchers in Control Engineering, Robotics and Signal Processing.

✦ Table of Contents

Cover
Half Title
Title Page
Copyright Page
Contents
List of Figures
List of Tables
Notations
Preface
Author Biography
Chapter 1: Introduction
1.1. Networked control system
1.2. Focus of this book
1.3. Event-triggered control
1.3.1. Modeling
1.3.2. Controller Design
1.3.3. Triggering Condition
1.4. Background
1.4.1. Optimal Control Theory
1.4.2. Robust Control Design
1.4.3. Stability Results
1.4.3.1. Input-to-state Stability for Continuous-time System
1.4.3.2. ISS for Discrete-time System
1.5. Motivating example
1.6. Overview of the literature
1.6.1. Event-triggered Control
1.6.2. Optimal Control Approach for Robust Controller Design
1.7. Summary
SECTION I: Control of Linear Systems
Chapter 2: Robust Event-triggered Control for Continuous-time Linear Systems
2.1. Introduction
2.2. Robust control
2.2.1. System Uncertainty
2.2.2. Robust Control Problem
2.3. Problem description and statement
2.3.1. Controller Design
2.3.2. Triggering Condition Design
2.4. Static event-triggered robust control
2.5. Dynamic event-triggered robust control
2.5.1. Selection of Design Parameters
2.6. Simulation results and comparisons
2.6.1. Example 1
2.6.2. Example 2
2.7. Summary
Chapter 3: Robust Event-triggered Control of Discrete-time Linear Systems
3.1. Introduction
3.2. Robust control design
3.3. Main results
3.3.1. Uncertainty in Input Matrix
3.3.2. Comparison with Existing Results
3.4. Numerical examples and comparative studies
3.5. Summary
SECTION II: Control of Nonlinear Systems
Chapter 4: Finite-time Event-triggered Control for a Class of Nonlinear Systems
4.1. Introduction
4.2. Problem formulation
4.3. Main results
4.3.1. Conversion of ET-HJB to SDRE
4.3.2. Numerical Solution of SDRE
4.4. Results
4.5. Summary
Chapter 5: Robust Stabilization of Discrete-time Mismatched Nonlinear System
5.1. Introduction
5.2. Robust control design
5.2.1. NN-based Approximation Using Least Squares Approach
5.2.2. Stability of Uncertain Systems Using Approximate Inputs
5.2.3. With Input Uncertainty
5.2.4. Comparison with Existing Results
5.3. Simulation results
5.4. Summary
SECTION III: Applications
Chapter 6: Applications
6.1. Introduction
6.2. Robust event-triggered control of robot manipulator
6.2.1. Simulation Results
6.3. Robust event-triggered control of Lipschitz nonlinear systems
6.3.1. Simulation Results
6.4. Robust event-triggered control of batch reactor
6.4.1. Simulation Results
6.5. Summary
Appendix A: Some Useful Mathematical Results
Appendix B: Proof of Lemmas
Appendix C: Discretization Method
References
Index