Adaptive Control: Algorithms, Analysis and Applications

TL;DR

This comprehensive book on adaptive control covers algorithms, analysis, and practical applications, emphasizing mathematical synthesis and analysis alongside real-world problem-solving in digital control systems.

Contribution

It provides a unified, mathematically rigorous treatment of adaptive control techniques with practical insights, reflecting modern digital implementation.

Findings

Emphasizes the importance of mathematical analysis in adaptive control design.

Highlights the role of digital computers in modern adaptive control.

Connects theoretical foundations with practical control applications.

Abstract

Adaptive control provides techniques for adjusting control parameters in real time to maintain system performance despite unknown or changing process parameters. These methods use real data to tune controllers and adjust plant models or controller parameters. The field has progressed significantly since the 1970s, helped by digital computers. Early applications offered essential feedback, and theoretical advances solved many basic problems. This book comprehensively treats adaptive control, guiding readers from basic problems to analytical solutions with practical applications. Presenting a unified view is challenging due to various design steps and applications. However, a coherent presentation of basic techniques is now possible. The book uses a discrete-time approach to reflect the role of digital computers and shares practical experiences and understanding of different control designs. Mathematical aspects of synthesizing and analyzing algorithms are emphasized, though they alone may not solve practical problems. The book includes applications of control techniques but stresses that a solid mathematical understanding is crucial for creatively applying them to new challenges. Mathematical synthesis and analysis are highlighted, but they must be supplemented with practical problem-solving and algorithm modifications for specific applications.