Extended dissipativity-based non-fragile control for multi-area power systems with actuator fault

ABSTRACT

This paper addresses the issue of reliable load frequency control design of an uncertain multi-area power system with constant time delays and disturbances via non-fragile sampled-data control approach. In particular, the parameter uncertainties are assumed to be randomly occurring which are described by the Bernoulli distributed sequences. By constructing a suitable Lyapunov–Krasovskii functional together with Wirtinger-based inequality, a new set of sufficient conditions in terms of linear matrix inequalities is obtained to ensure the asymptotic stability and extended dissipativity of the multi-area power system not only when all actuators are operational, but also in case of some actuator failures. Finally, simulation results are conducted to validate the effectiveness of the proposed control design technique.

KEYWORDS:

• Linear systems
• Lyapunov method
• time-delay systems
• linear matrix inequalities

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

D. Aravindh

D. Aravindh completed his under graduation in the field of Mathematics in 2004 from Gobi Arts and Science College, Gobichettipalayam, Tamil Nadu, India. He obtained his post graduation in Mathematics from Erode Arts College, Erode, Tamil Nadu, India in the year 2006. He was awarded the M.Phil. degree in Mathematics in 2008 from Kongu Arts and Science College, Erode, Tamil Nadu, India. Currently, he is working as an Assistant professor in the Department of Mathematics at KPR Institute of Engineering and Technology, Coimbatore, Tamil Nadu, India. His current research interests include robust control theory and dynamical systems.

R. Sakthivel

R. Sakthivel received the B.Sc., M.Sc., M.Phil., and Ph.D. degrees in Mathematics from Bharathiar University, Coimbatore, India, in 1992, 1994, 1996, and 1999, respectively. He served as a Lecturer with the Department of Mathematics, Sri Krishna College of Engineering and Technology, Coimbatore, from 2000 to 2001. From 2001 to 2003, he was a Post-Doctoral Fellow with the Department of Mathematics, Inha University, Incheon, South Korea. He was a Visiting Fellow with Max Planck Institute, Magdeburg, Germany, in 2002. From 2003 to 2005, he was a Japan Society for the Promotion of Science Fellow with the Department of Systems Innovation and Informatics, Kyushu Institute of Technology, Kitakyushu, Japan. He was a Research Professor with the Department of Mathematics, Yonsei University, Seoul, South Korea, till 2006. He was a Post-Doctoral Fellow (Brain Pool Program) with the Department of Mechanical Engineering, Pohang University of Science and Technology, Pohang, South 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 Applied 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. Dr. R. Sakthivel has been on the Editorial Board of international journals, including the , the Journal of the Franklin Institute, Neurocomputing, Advances in Difference equations and Journal of Electrical Engineering & Technology.

S. Marshal Anthoni

S. Marshal Anthoni received the M.Sc., and Ph.D. degrees in Mathematics from Bharathiar University, Coimbatore, India, in 1995 and 2001, respectively. Soon after the completion of his Ph.D. degree, he served as a Lecturer in the Department of Mathematics, Kumaraguru College of Technology, Coimbatore, India from 2001 to 2003. Then, from 2003 to 2004, he was a Post-Doctoral Fellow at the Department of Mathematics, Yonsei University, South Korea. After that, he worked as a Lecturer in the Department of Mathematics, Periyar University, Salem, India from 2004 to 2008. He is currently an Associate Professor of Mathematics at Anna University Regional Campus, Coimbatore, India. His research interests include control theory, neural networks and abstract differential equations.