Adaptive Control of Dynamic Systems with Uncertainty and Quantization (Automation and Control Engineering)

✍ Scribed by Jing Zhou, Lantao Xing, Changyun Wen

• Publisher: CRC Press
• Year: 2021
• Tongue: English
• Leaves: 250
• Edition: 1
• Category: Library

✦ Synopsis

This book presents a series of innovative technologies and research results on adaptive control of dynamic systems with quantization, uncertainty, and nonlinearity, including the theoretical success and practical development such as the approaches for stability analysis, the compensation of quantization, the treatment of subsystem interactions, and the improvement of system tracking and transient performance. Novel solutions by adopting backstepping design tools to a number of hotspots and challenging problems in the area of adaptive control are provided.

In the first three chapters, the general design procedures and stability analysis of backstepping controllers and the basic descriptions and properties of quantizers are introduced as preliminary knowledge for this book. In the remainder of this book, adaptive control schemes are introduced to compensate for the effects of input quantization, state quantization, both input and state/output quantization for uncertain nonlinear systems and are applied to helicopter systems and DC Microgrid. Discussion remarks are provided in each chapter highlighting new approaches and contributions to emphasize the novelty of the presented design and analysis methods. Simulation results are also given in each chapter to show the effectiveness of these methods.

This book is helpful to learn and understand the fundamental backstepping schemes for state feedback control and output feedback control. It can be used as a reference book or a textbook on adaptive quantized control for students with some background in feedback control systems. Researchers, graduate students, and engineers in the fields of control, information, and communication, electrical engineering, mechanical engineering, computer science, and others will benefit from this book.

✦ Table of Contents

Cover
Half Title
Series Page
Title Page
Copyright Page
Contents
Preface
Authors
1. Introduction
1.1. Adaptive Control
1.2. Motivation
1.2.1. Control of Input Quantization
1.2.2. Control of State Quantization
1.2.3. Control of Both Input and State/Output Quantization
1.3. Objectives
1.4. Preview of Chapters
2. Backstepping Control
2.1. Adaptive State Feedback Control
2.1.1. Design of Adaptive Controllers
2.1.2. Stability Analysis
2.2. Adaptive Output Feedback Control
2.2.1. State Estimation Filters
2.2.2. Design of Adaptive Controllers and Stability Analysis
2.3. Robust State Feedback Control
2.3.1. Controller Design
2.3.2. Closed-loop Analysis
2.4. Robust Output Feedback Control
2.4.1. Observer Design
2.4.2. Controller Design and Stability Analysis
2.5. Notes
3. Quantizers and Quantized Control Systems
3.1. Quantizers
3.1.1. Uniform Quantizer
3.1.2. Logarithmic Quantizer
3.1.3. Hysteresis-Uniform Quantizer
3.1.4. Hysteresis-Logarithmic Quantizer
3.1.5. Logarithmic-Uniform Quantizer
3.2. Properties
3.2.1. Bounded Property
3.2.2. Sector-Bounded Property
3.3. Quantized Control Systems
3.4. Notes
SECTION I: INPUT QUANTIZATION COMPENSATION
4. Adaptive Stabilization of Nonlinear Uncertain Systems with Input Quantization
4.1. Introduction
4.2. System Model
4.3. Quantizer
4.4. Design of Adaptive Controller
4.5. Stability Analysis
4.6. An Illustrative Example
4.7. Notes
5. Adaptive Tracking of Nonlinear Uncertain Systems with Input Quantization
5.1. Introduction
5.2. Problem Statement
5.2.1. Modeling of Uncertain Nonlinear Systems
5.2.2. Quantizer
5.3. Design of Adaptive Controllers
5.3.1. Control Scheme I for Known Quantization Parameters
5.3.2. Control Scheme II for Unknown Quantization Parameters
5.4. Simulation Results
5.5. Notes
6. Decentralized Adaptive Control of Interconnected Systems with Input Quantization
6.1. Introduction
6.2. Problem Formulation
6.3. Design of Decentralized Adaptive Controller
6.4. Stability Analysis
6.5. An Illustrative Example
6.6. Notes
7. Output Feedback Control for Uncertain Nonlinear Systems with Input Quantization
7.1. Introduction
7.2. Problem Formulation
7.3. Controller Design with Bounded Quantizers
7.3.1. State Estimation Filters
7.3.2. Design of Adaptive Controller
7.3.3. Stability Analysis
7.3.4. Simulation Results
7.4. Controller Design with Sector-Bounded Quantizers
7.4.1. State Estimation Filters
7.4.2. Controller Design and Stability Analysis
7.4.3. Simulation
7.5. Notes
SECTION II: STATE QUANTIZATION COMPENSATION
8. Adaptive Control of Systems with Bounded State Quantization
8.1. Introduction
8.2. Problem Statement
8.2.1. System Model
8.2.2. Bounded Quantizer
8.3. Adaptive Backstepping Control
8.3.1. States are Not Quantized
8.3.2. States are Quantized
8.4. Simulation Study
8.5. Notes
9. Adaptive Control of Systems with Sector-Bounded State Quantization
9.1. Introduction
9.2. Problem Statement
9.2.1. System Model
9.2.2. Sector-Bound Quantizer
9.3. Design of Adaptive Backstepping Controller
9.4. Stability Analysis
9.5. Simulation Results
9.6. Notes
SECTION III: INPUT AND STATE/OUTPUT QUANTIZATION COMPENSATION
10. Adaptive State Feedback Control of Systems with Input and State Quantization
10.1. Introduction
10.2. Problem Statement
10.2.1. System Model
10.2.2. Quantizer Model
10.3. Design of Adaptive Backstepping Controller
10.3.1. System without Quantization
10.3.2. System with Input and State Quantization
10.4. Stability Analysis
10.5. Discussion on the Case of Bounded Quantizers
10.6. Simulation Results
10.7. Notes
11. Adaptive Output Feedback Control of Systems with Input and Output Quantization
11.1. Introduction
11.2. Problem Formulation
11.3. Design of Adaptive Output Feedback Controller
11.4. Stability Analysis
11.5. An Illustrative Example
11.6. Notes
SECTION IV: APPLICATIONS
12. Adaptive Attitude Control of Helicopter with Quantization
12.1. Introduction
12.2. Problem Statement
12.2.1. System Model
12.2.2. Quantized System
12.3. Adaptive Control Design
12.3.1. Continuous Inputs
12.3.2. Inputs Quantization
12.4. Experimental Results
12.4.1. Results without Quantization
12.4.2. Results with Quantization
12.4.3. Comparing Results
12.5. Notes
13. Quantized Distributed Secondary Control for DC Microgrid
13.1. Introduction
13.2. Problem Formulation and Control Objective
13.2.1. Droop Control
13.2.2. Control Objective
13.2.3. Data Communication Network
13.3. Quantized Distributed Secondary Control
13.4. Case Studies
13.4.1. Case 1: Resistive Load
13.4.2. Case 2: ZIP Loads
13.5. Notes
14. Conclusions and Future Challenges
14.1. Conclusions
14.2. Future Challenges
Appendix A
Appendix B
Appendix C
Appendix D
References
Index