This book considers the problems of network-based control and optimization. As is known, network-based control has great advantages over traditional control systems because it may lead to easy installation and maintenance, low cost, and so on. Sometimes, network-based control is also necessary in many situations. For example, multi-agents may need to communicate with each other under wireless scenarios. On the other hand, the network may lead to some imperfect factors such as samplings, delays, transmission protocols, and packet losses. These factors may degrade the system performance and even lead to the instability of the control systems.
This book aims at providing a modeling framework and analysis approach for the general nonlinear networked control systems based on the hybrid framework. The proposed results deal with very general nonlinear systems and help the readers understand the principle of nonlinear network-based control and optimization.
Author(s): Xi-Ming Sun, Kun-Zhi Liu, Xue-Fang Wang, Andrew R. Teel
Publisher: Springer
Year: 2023
Language: English
Pages: 124
City: Singapore
Preface
Acknowledgements
Contents
Notations
1 Introduction
1.1 Network-Based Control
1.2 Basic Knowledge About Hybrid Systems
1.2.1 Hybrid Dynamical Systems
1.2.2 Stochastic Hybrid Systems
Part I Modeling and Stability Analysis for Networked Control Systems
2 Model-Based Event-Triggered Control for Distributed Networked Control Systems
2.1 Introduction
2.2 Model Description
2.3 Design of Triggering Function and Stability Analysis
2.4 Distributed Model-Based Dynamic Event-Triggered Control
2.5 Example and Simulation
2.6 Conclusions
3 Periodic Event-Triggered Control for Decentralized Linear Systems with Quantization Effects and External Disturbances
3.1 Introduction
3.2 Preliminaries
3.3 Model Description
3.4 Stability and Performance
3.5 Example
3.6 Conclusions
4 Event-Triggered Stabilization for Nonlinear Systems by Uniting the Local and Global Controller
4.1 Introduction
4.2 Motivation Example and Problem Description
4.3 Hybrid Event-Triggered Stabilization
4.4 Example Studies
4.5 Conclusions
5 Event-Triggered Control for Nonlinear Systems With Stochastic Dynamics, Transmission Instants and Protocols
5.1 Introduction
5.2 Model Description
5.3 Stability Analysis
5.4 Example Studies
5.4.1 Linear Systems
5.4.2 Nonlinear Systems
5.5 Conclusions
Part II Distributed Optimization with Network Communication
6 Stability Analysis of Distributed Convex Optimization Under Persistent Attacks
6.1 Introduction
6.2 Knowledge About Graph
6.3 Problem Formulation
6.4 Stability Analysis of the Algorithm Under Attacks
6.5 Stability Analysis
6.5.1 A Construction of Hybrid System
6.5.2 An Explicit Lyapunov Function Proof of Convergence
6.6 Example
6.7 Conclusions
7 Distributed Robust Nash Equilibrium Seeking for Aggregative Games Under Persistent Attacks
7.1 Introduction
7.2 Problem Formulation and Model Description
7.2.1 Game Formulation
7.2.2 Physical Model Description
7.2.3 Networked Attack Descriptions
7.3 Distributed Algorithm Design
7.4 Stability of the Hybrid Algorithm
7.5 Proofs of the Main Theorems
7.6 Example
7.7 Conclusions and Future Work
Appendix References
