Robust Control-Oriented Linear Fractional Transform Modelling

Dr. Tamal Roy received his Bachelor’s degree in Electrical Engineering from the West Bengal University of Technology, Kolkata, 2005. He received his Master in Mechatronics Engineering from the National Institute of Technical Teachers Training and Research, Kolkata, in 2008, and completed his Ph.D. from Jadavpur University in 2016. In 2008, he joined the Department of Electrical Engineering at Hooghly Engineering and Technology College as a Lecturer. Since 2011, he has been working as an assistant professor in the Electrical Engineering Department of MCKV Institute of Engineering and presently is working as the head of the Department. His current research interests include adaptive control, uncertainty modeling, system identification, and robust control of nonlinear systems. Dr. Ranjit Kumar Barai graduated in Bachelor of Electrical Engineering in 1993 and Master of Electrical Engineering in 1995 from Jadavpur University, India, and Ph.D. in Artificial Systems Science (with specialization in Mechatronics and Robotics) in 2007 from Chiba University, Japan. He has performed post-doctoral research at Rolls-Royce Corporate Laboratory at Nanyang Technological University, Singapore, in 2015-16 on robotized manufacturing. He is now a professor in the Control Systems Division, Department of Electrical Engineering, Jadavpur University. He has more than 20 years of working experience in industry, research, and teaching at graduate and post-graduate levels. His research interests include mechatronics, robotics, control systems, machine learning and soft-computing, modeling and system identification, and real-time systems.

“In this book, the authors investigate robust control-oriented linear fractional transform modelling. More concretely, they provide a systematic approach of mathematical modelling associated with complex physical system that would enable the control system engineer to effectively design H∞ robust controller with guaranteed performance.” (Savin Treanţă, zbMATH 1516.93001, 2023)

• Introduction.- Mathematical Modelling of Real Physical System.- Control Oriented Linear Fractional Transformation.- Synthesis Based H∞ Control Theory.- Generalized Control Oriented LFT Modelling of a Coupled Uncertain MIMO System.- Control-Oriented LFT Modelling of a Two-DOF Spring- Mass-Dashpot Dynamic System.- Control Oriented LFT Modelling and H∞ Control of Twin Rotor MIMO System.- Control Oriented LFT Modelling and H∞ Control of Differentially Driven Wheeled Mobile Robot.- Control Oriented LFT Modelling and H∞ Control of Differentially Driven Wheeled Mobile Robot with Slip Dynamics.