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Dissipative based adaptive reliable sampled-data control of time-varying delay systems

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Abstract

This paper is concerned with the problem of dissipative based adaptive reliable controller for a class of time delay systems subject to actuator failures and time-varying sampling with a known upper bound on the sampling intervals. By constructing a proper Lyapunov-Krasovskii functional which fully uses the available information about the actual sampling pattern and time delays, a new set of sufficient conditions is derived to obtain the required result. Then, a dissipative based adaptive sampled-data controller is designed such that the resulting closed-loop system is reliable in the sense that it is asymptotically stable and has the prescribed dissipative performance under given constraints. The existence condition of the desired dissipative based adaptive reliable sampled-data controller is obtained in terms of linear matrix inequalities. Further, the performance of the proposed controller is implemented on a liquid propellant rocket motor with a pressure feeding system model. The simulation results show the effectiveness and better performance of the proposed adaptive reliable sampled-data controller over conventional reliable controller.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Anna University Regional Campus, Coimbatore, 641046, India

    Srimanta Santra & S. Marshal Anthoni

  2. Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898, Grimstad, Norway

    Hamid Reza Karimi

  3. Department of Mathematics, Sri Ramakrishna Institute of Technology, Coimbatore, 641010, India

    Rathinasamy Sakthivel

  4. Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, Korea

    Rathinasamy Sakthivel

Authors
  1. Srimanta Santra
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  2. Hamid Reza Karimi
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  3. Rathinasamy Sakthivel
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  4. S. Marshal Anthoni
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Corresponding author

Correspondence to Rathinasamy Sakthivel.

Additional information

Recommended by Guest Editors PooGyeon Park and Ju H. Park.

Srimanta Santra received the B.Sc. degree in Computer Science from The University of Burdwan, Bardhaman,West Bengal, India in 2009. He received the M.C.A degree in computer applications from Anna University, Chennai, India in 2012. Currently he is a Ph.D. candidate in Anna University, Chennai, India. His research interests include networked control systems, stability analysis of dynamical systems, robust controller design for linear and nonlinear systems.

Hamid Reza Karimi is a Professor in Control Systems at the Institute of Mechatronics and leader of the research group in Applied Mathematics at the Faculty of Engineering and Science of the University of Agder in Norway. His research interests are in the areas of nonlinear systems, networked control systems, robust control/filter design, time-delay systems, wavelets and vibration control of flexible structures with an emphasis on applications in engineering. Dr. Karimi is a member of Agder Academy of Sciences and Letters in Norway, senior member of IEEE and serves as a chairman of the IEEE chapter on control systems at IEEE Norway section. He is also serving as an editorial board member for some international journals, such as IFAC-Mechatronics, IEEE Trans. on Industrial Electronics, IEEE Trans. on Circuits and Systems I-Regular papers, IEEE/ ASME Trans. Mechatronics, IEEE Trans. on Circuits and Systems II-Brief Papers, Journal of the Franklin Institute, Information Sciences, Neural Networks, Neurocomputing, IMechE Journal of System and Control Engineering, Asian Journal of Control, International Journal of Control, Automation and Systems, etc. He is a member of IEEE Technical Committee on Systems with Uncertainty, IFAC Technical Committee on Robust Control, IFAC Technical Committee on Automotive Control and IEEE Technical Committee on Industrial Cyber-Physical Systems.

Rathinasamy Sakthivel is a professor in the Department of Mathematics, Sri Ramakrishna Institute of Technology, Coimbatore, India. He 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 at the Mathematics Department at the Sri Krishna College of Engineering and Technology, India. From 2001 to 2003, he was a post-doctoral fellow at the Mathematics Department, 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 at the Department of Systems Innovation and Informatics, Kyushu Institute of Technology, Japan. After that he worked as a research professor at the Mathematics Department, Yonsei University, South Korea, till 2006. Then he was a post-doctoral fellow (Brain Pool Program) at the Department of Mechanical Engineering, Pohang University of Science and Technology (POSTECH), Pohang, Korea, from 2006 till 2008. In 2008, he joined Sungkyunkwan University, Suwon, as an Assistant Professor in Mathematics and subsequently was promoted to an Associate professor of Mathematics in 2012. He has published more than 170 research papers in reputed Science Citation Index journals. His major research areas include control theory, stability, robust control for uncertain systems and neural networks.

S. Marshal Anthoni received the M.Sc. and Ph.D. degrees in Mathematics from Bharathiar University, Coimbatore, India, in 1995 and 2001, respectively. He served as a lecturer in Mathematics at the Kumaraguru College of Technology, Coimbatore, India, from 2001 till 2003. He was a post-doctoral fellow at the Department of Mathematics, Yonsei University, South Korea, from 2003 till 2004. After that he worked as a lecturer in Mathematics at Periyar University, Salem, India (2004 - 2008). He is currently an associate professor of Mathematics at the Anna University - Regional Office, Coimbatore, India. His research interests include control theory, neural networks and abstract differential equations.

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Santra, S., Karimi, H.R., Sakthivel, R. et al. Dissipative based adaptive reliable sampled-data control of time-varying delay systems. Int. J. Control Autom. Syst. 14, 39–50 (2016). https://doi.org/10.1007/s12555-015-2008-5

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