![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
ABSTRACT
In this paper, the output tracking control problem for a class of switched nonlinear systems with multiple time-varying delays is studied based on equivalent-input-disturbance (EID) approach. More precisely, with the use of suitable Lyapunov-Krasovskii functional together with average dwell-time technique, an output feedback tracking controller is designed which makes that the states of resulting system can asymptotically track the desired trajectory. Further, the EID estimator is implemented to reject both matched and unmatched disturbances effectively without requiring any prior knowledge of the disturbances. Simulation results are presented to illustrate the effectiveness and potential of the developed EID-based output tracking control design technique. The results reveal the fact that the tracking controller based on EID provides a better tracking performance than the feedback controller based on sliding mode technique.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
Notes on contributors
L. Susana Ramya
L. Susana Ramya completed her under graduation in the field of Mathematics in 1998 from Holy Cross College, Tiruchirappalli, Tamil Nadu, India. She obtained her post graduation in Mathematics from Bishop Heber College, Tiruchirappalli, Tamil Nadu, India in the year 2000. She was awarded the M.Phil. degree in Mathematics in 2008 from Tamilnadu Open University, India. Currently, she is pursuing the PhD degree in Department of Mathematics, Anna University Regional Campus, Coimbatore, Tamil Nadu, India. Her current research interests include robust control theory and dynamical systems.
R. Sakthivel
R. Sakthivel received the B.Sc., M.Sc., and Ph.D. degrees in Mathematics from Bharathiar University, Coimbatore, India in 1992, 1994, and 1999, respectively. Soon after the completion of his Ph.D. degree, he served as a Lecturer in the Department of Mathematics at Sri Krishna College of Engineering and Technology, India. From 2001 to 2003, he was a Post- Doctoral Fellow in the Department of Mathematics, Inha University, South Korea. He was a Visiting Fellow at Max Planck Institute, Magdeburg, Germany, in 2002. From 2003 to 2005, he was a JSPS (Japan Society for the Promotion of Science) Fellow in the Department of Systems Innovation and Informatics, Kyushu Institute of Technology, Japan. After that, he worked as a Research Professor in the Department of Mathematics, Yonsei University, South Korea, till 2006. Then he was a PostDoctoral Fellow (Brain Pool Program) in the Department of Mechanical Engineering, Pohang University of Science and Technology (POSTECH), Pohang, Korea, from 2006 to 2008. He served as an Assistant and Associate professor with the Department of Mathematics, Sungkyunkwan University, Suwon, South Korea from 2008 to 2013. From 2013 to 2016, he was a professor at the department of Mathematics, Sri Ramakrishna Institute of Technology, India. He is currently a Professor with the Department of Mathematics, Bharathiar University, Coimbatore India. He has published over 250 research papers in reputed Science Citation Index journals. His current research interests include systems and control theory, optimization techniques, and nonlinear dynamics. He is an Associate Editor of international journals, including the IEEE Access, The Journal of the Franklin Institute, Neurocomputing, Advances in Difference equations and Journal of Electrical Engineering and Technology.
A. Leelamani
A. Leelamani received her B.Sc. and M.Sc. degrees in Mathematics from Bharathiar University, Coimbatore, Tamil Nadu, in 1999 and 2001, respectively. Also, she has completed her M.Phil. and Ph.D. degrees from the same University in 2003 and 2006, respectively. She is currently working as an Assistant Professor of Mathematics at Anna University Regional Campus, Coimbatore, Tamil Nadu. Her research interests include control theory and partial differential equations. She has published number of papers in these areas.
P. Dhanalakshmi
P. Dhanalakshmi received her B.Sc., M.Sc.,and Ph.D degrees in Mathematics from Bharathiar University, Coimbatore, Tamilnadu, India in 1998, 2000 and 2015 respectively. She is currently working as an Associate Professor in the Department of Applied Mathematics, Bharathiar University, Coimbatore, Tamilnadu, India. Her research interests include Fuzzy sets, dynamical systems and robust control theory.
N. Sakthivel
N. Sakthivel received the B.Sc., M.Sc., M.Phil., and Ph.D., degree in Mathematics from Bharathiar University, Coimbatore, India. He is working as an Assistant Professor in the Department of Applied Mathematics in Bharathiar University, Coimbatore, Tamilnadu, India. He has published 8 papers in international journals. His research interests include Complex Dynamical Networks and Stability Theory of Neural Networks.