Rupak Datta
@tripurauniv.ac.in
Research Assistant Professor, Department of Mathematics
Tripura University (A Central University)
Rupak Datta received the B.Sc. and M.Sc. degrees in mathematics from Tripura University (A Central University), Tripura, India, in 2010 and 2012, respectively, and the Ph.D. degree in mathematics from the Department of Mathematics, National Institute of Technology Agartala, Agartala, Tripura, India, in 2021. He was a Postdoctoral Research Fellow with the Research Center for Wind Energy Systems, Kunsan National University, Gunsan, South Korea.
He is currently a Research Assistant Professor with the Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India. His research interests include fuzzy control theory and its applications, wind energy conversion systems, stability analysis, time-delay systems, and control theory.
RESEARCH, TEACHING, or OTHER INTERESTS
Control and Systems Engineering, Applied Mathematics, Control and Optimization
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
Rupak Datta and Young Hoon Joo
Institute of Electrical and Electronics Engineers (IEEE)
Muhammad Usman Asad, Umar Farooq, Jason Gu, Rajeeb Dey, Nabanita Adhikary, Rupak Datta, and Chunqi Chang
ACTA Press
Ramasamy Saravanakumar, Amir Amini, Rupak Datta, and Yang Cao
Institute of Electrical and Electronics Engineers (IEEE)
This brief proposes a memory-based sampled-data consensus framework for general linear multi-agent systems (MAS) in the presence of a class of nonlinear actuator faults (NAF). To reduce state exchanges and preserve energy resources, communication between the neighboring agents are based on only samples of the states with variable sampling intervals. As two common constraints in the actuators, the bounded nonlinear partial loss of effectiveness and bias faults are both taken into account in the problem formulation. Sufficient conditions to guarantee consensus under the given circumstances are derived as linear matrix inequality (LMI) conditions. Different from existing Lyapunov-Krasovskii-based methods, the proposed design framework in this brief is based on a looped functional approach which reduces the conservation in designing the required consensus control gains. This less conservative approach allows a larger sampling interval as well as more severe actuator faults which together enhance the practicability of the proposed approach. Simulation results based on a tunnel diode circuit and a non-holonomic mobile robot MASs quantify the effectiveness of the proposed approach and the improved sampling intervals.
Rupak Datta, Ramasamy Saravanakumar, Rajeeb Dey, and Baby Bhattacharya
American Institute of Mathematical Sciences (AIMS)
<abstract><p>The problem of delay-range-dependent (DRD) stability analysis for continuous time Takagi–Sugeno (T–S) fuzzy time-delay systems (TDSs) is addressed in this paper. An improved DRD stability criterion is proposed in an linear matrix inequality (LMI) framework by constructing an appropriate delay-product-type (DPT) Lyapunov–Krasovskii functional (LKF) to make use of Bessel-Legendre polynomial based relaxed integral inequality. The modification in the proposed LKF along with the judicious choice of integral inequalities helps to obtain a less conservative delay upper bound for a given lower bound. The efficacy of the obtained stability conditions is validated through the solution of three numerical examples.</p></abstract>
Ramasamy Saravanakumar, Kaibo Shi, and Rupak Datta
Elsevier BV
Rupak Datta, Rajeeb Dey, Nabanita Adhikari, Jason Gu, Umar Farooq, and Muhammad Usman Asad
Elsevier BV
Rupak Datta, Rajeeb Dey, and Nabanita Adhikari
Elsevier BV
Ramasamy Saravanakumar, Rupak Datta, and Yang Cao
Elsevier BV
Nabanita Adhikary, Rajeeb Dey, Muhammad Usman Asad, Jason Gu, Umar Farooq, and Rupak Dutta
Springer Singapore
Muhammad Usman Asad, Jason Gu, Umar Farooq, Rajeeb Dey, Nabanita Adhikary, Rupak Datta, and Chunqi Chang
Springer Singapore
Rupak Datta, Ramasamy Saravanakumar, Rajeeb Dey, Baby Bhattacharya, and Choon Ki Ahn
Elsevier BV
Rupak Datta and Ramasamy Saravanakumar
IEEE
In the augmented Lyapunov–Krasovskii functional (LKF) context, this paper explores the dissipativity analysis of Takagi–Sugeno (T–S) fuzzy system with variable delays and data packet dropout. A new permissible and strictly dissipative condition in terms of linear matrix inequalities (LMIs) is derived using the higher-order Bessel–Legendre polynomial-based integral inequality (HOBLPBII), which is based on new augmented LKFs. The numerical investigation is carried out, and the resulting outcomes are given to justify the efficiency of the derived results.
Rupak Datta, Rajeeb Dey, Baby Bhattacharya, Ramasamy Saravanakumar, and Oh-Min Kwon
Elsevier BV
Rupak Datta, Rajeeb Dey, and Baby Bhattacharya
Springer Science and Business Media LLC
Rupak Datta, Rajeeb Dey, Ramasamy Saravanakumar, Baby Bhattacharya, and Tsung-Chih Lin
IOS Press
Rupak Datta, Rajeeb Dey, Baby Bhattacharya, Ramasamy Saravanakumar, and Choon Ki Ahn
Institution of Engineering and Technology (IET)
This paper presents the development of a new double integral inequality (II) with the motivation of yielding quadratic approximation. It is well known that approximating integral quadratic terms with quadratic terms involves a certain degree of conservatism. In this paper, a sufficient gap has been identified in the approximation of two recent IIs reported in the literature, thereby leading to the new double II. The developed inequality has been applied to access the stability of a linear retarded system to estimate a maximum delay upper-bound. Furthermore, a mathematical relationship of the new double II with existing inequalities is discussed to show that the developed inequality is more general, effective and bears less computational burden. Four numerical examples are given to validate the authors' claim with regard to the effective estimate of delay bound results for a linear retarded system.
Rupak Datta, Rajeeb Dey, and Baby Bhattacharya
Inderscience Publishers
Rupak Datta, Rajeeb Dey, Baby Bhattacharya, and Abanishwar Chakrabarti
Springer Singapore
Rupak Datta, Baby Bhattacharya, and Abanishwar Chakrabarti
Springer Science and Business Media LLC
Rupak Datta, Rajeeb Dey, B. Bhattacharya, and A. Chakraborti
IEEE
In this paper, a new and improved stability condition is proposed for Takagi-Sugeno (T-S) fuzzy systems subject to interval time varying delay. The stability analysis is carried out by constructing a new Lyapunov-Krasovskii (L-K) functional along with the use of tighter bounding integral inequality to approximate the integral term coming out from the derivative of L-K functional. Two numerical examples are included to show the effectiveness of the proposed theoretical results over some existing approaches.