Robust control theory

Author: Shi Zhongke
Publisher:
Publish Date: 2003-01-01
Features: Typically, system analysis methods and controller design are established based on mathematical models, and various methods have become mature and refined. However, systems always exhibit uncertainties of one kind or another. During system modeling, sometimes only the conditions near the operating point are considered, leading to artificial simplification of the mathematical model. On the other hand, manufacturing tolerances between actuation components and control elements, as well as phenomena such as aging, wear, and deterioration of environmental and operating conditions, result in structural or parametric uncertainties in most systems. As a result, the analysis results of systems based on precise mathematical models or controllers designed from them often do not meet engineering requirements. In recent years, research has been conducted on robust control problems for uncertain systems, and a series of research achievements have been obtained. Hoo robust control theory and μ-analysis theory are among the most active research fields in control engineering today, favored by control researchers for many years. The author systematically studies the robust stability problems of linear uncertain systems, time-delayed systems, interval systems, and discrete-time systems, proposing analysis and design methods for system robust stability. For this purpose, this book systematically summarizes the research achievements of domestic and foreign scholars as well as the author's own research. The book is divided into 12 chapters. Chapter 1 provides an overview of the concepts of robust control and offers an in-depth introduction to the robust analysis of multivariable control systems. Chapter 2 primarily discusses the basic Hoo optimization theory, briefly elaborating on both the methodological description and the optimization algorithms. Chapter 3 further introduces relevant research on Hoo theory from the perspective of discrete-time systems. Chapter 4 introduces hierarchical control algorithms, Hoo hierarchical optimization, and decentralized Hoo control. Chapter 5 discusses the properties of Hoo optimization methods and their implementation issues, including a flowchart for the algebraic Riccati equation. Chapter 6 explores the application of Hoo optimization algorithms in flight control, providing the motion equations of aircraft, their simplification, and related simulation calculations. Chapter 7 discusses and studies the robust control problems of time-delayed systems. Chapter 8 introduces robust control for interval systems, presenting relevant results. Chapter 9 introduces the basic concepts of μ theory. Chapter 10 introduces μ-analysis and μ-synthesis. Chapter 11 discusses the μ-synthesis methods for longitudinal flight control systems and compares Hoo controllers and μ controllers. Chapter 12 introduces the balanced reduction method for μ controllers and summarizes and looks ahead to μ theory methods. This book is relatively suitable for researchers in aircraft control design and control theory and its applications, as well as students or others interested in the field of control, providing certain value for learning and reference.