Optimal Reference Shaping for Dynamical Systems: Theory and Applications by Tarunraj Singh – A Comprehensive Guide to Fe

Introduction

In the realm of modern control systems, the integration of feedforward and feedback control has emerged as a transformative approach to enhance performance beyond what feedback alone can achieve. Optimal Reference Shaping for Dynamical Systems: Theory and Applications by Tarunraj Singh offers a comprehensive exploration of feedforward control techniques, with a special focus on shaping reference inputs to suppress residual oscillations. This hardcover volume, published by CRC Press, is an essential resource for engineers, researchers, and students in India who seek to master the art of reference shaping for stable or marginally stable systems.

Book Overview

This book systematically bridges the gap between theoretical foundations and practical implementations. It begins by developing models for applications where dynamics are dominated by lightly damped poles—common in flexible structures, robotics, and precision motion systems. The text then introduces the time-delay filter (input shaper) design technique, followed by a thorough review of the calculus of variations. From there, it delves into four core control problems: time-optimal, fuel/time-optimal, fuel-limited time-optimal, and jerk-limited time-optimal control. Each concept is illustrated through benchmark problems, making the material accessible and immediately applicable.

Key Highlights

• Comprehensive coverage of reference shaping algorithms for attenuating residual oscillations in dynamical systems.
• Integration of theory and practice with numerous benchmark problems and real-world examples.
• Focus on feedforward control as a complement to feedback systems, enhancing overall control performance.
• Detailed treatment of time-delay filters and calculus of variations for optimal control design.
• Hardcover edition from CRC Press, ensuring durability for repeated reference in academic and professional settings.

Inside the Book

The book is structured to guide readers from foundational concepts to advanced applications. Early chapters establish the mathematical groundwork, including state-space representations and the principles of optimal control. Subsequent chapters explore specific shaping techniques, such as input shaping for vibration reduction and reference profiling for motion systems. The final sections present case studies that demonstrate how these methods are applied to real-world problems, from robotic arms to aerospace structures. Each chapter includes exercises and problems that reinforce learning and encourage hands-on experimentation.

Key Topics

• Time-delay filter design and input shaping for residual vibration suppression.
• Time-optimal and fuel-optimal control strategies for dynamical systems.
• Fuel-limited and jerk-limited optimal control formulations.
• Calculus of variations and its role in reference shaping optimization.
• Application of shaping techniques to stable and marginally stable systems.
• Benchmark problems illustrating practical implementation in engineering domains.

Reader Benefits

Readers will gain a deep understanding of how to design reference inputs that minimize unwanted oscillations, leading to faster settling times and improved precision in control systems. The book equips professionals with tools to enhance the performance of feedback-controlled systems without requiring extensive hardware modifications. Students will appreciate the clear explanations and step-by-step derivations, which build confidence in tackling complex control problems. Researchers will find the latest algorithmic insights useful for advancing the field of feedforward control.

Learning Outcomes

• Ability to model dynamical systems with lightly damped poles for reference shaping.
• Proficiency in designing time-delay filters and input shapers for vibration control.
• Understanding of time-optimal, fuel-optimal, and jerk-limited control frameworks.
• Skill in applying calculus of variations to optimize reference trajectories.
• Competence in implementing reference shaping techniques in real-world engineering applications.

Who Should Read

This book is ideal for graduate students and researchers in control engineering, mechanical engineering, aerospace engineering, and robotics. Practicing engineers working on motion control, vibration suppression, and precision positioning systems will find it invaluable. It is also suitable for advanced undergraduate students with a background in linear systems and feedback control. Indian readers, especially those involved in automotive, defence, and industrial automation sectors, will benefit from the practical focus on real-world benchmark problems.

About the Author

Tarunraj Singh is a distinguished academic and researcher in the field of control systems. With years of experience teaching and developing advanced control algorithms, he has contributed significantly to the understanding of optimal reference shaping. His work bridges theoretical rigor and practical application, making complex concepts accessible to a wide audience. This book reflects his commitment to equipping the next generation of engineers with cutting-edge tools for dynamical system control.

About the Publisher

CRC Press is a globally renowned publisher of scientific and technical books, known for its high-quality content in engineering, mathematics, and applied sciences. With a legacy of publishing authoritative works, CRC Press ensures that each title meets rigorous academic and professional standards. This hardcover edition is a testament to the publisher's dedication to providing durable, well-edited resources for scholars and practitioners alike.

Conclusion

Optimal Reference Shaping for Dynamical Systems: Theory and Applications is a definitive guide for anyone serious about advancing their knowledge of feedforward control and vibration suppression. By blending theory with practical examples, Tarunraj Singh delivers a resource that is both intellectually stimulating and directly applicable to engineering challenges. Whether you are a student, researcher, or professional engineer, this CRC Press hardcover will serve as a valuable addition to your library, helping you design smarter, more efficient control systems.