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Author

Srimanti Roychoudhury

Bio: Srimanti Roychoudhury is an academic researcher from Budge Budge Institute of Technology. The author has contributed to research in topics: State space & System identification. The author has an hindex of 3, co-authored 28 publications receiving 35 citations.

Papers
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Book ChapterDOI
01 Jan 2016
TL;DR: This chapter is devoted to multi-delay system analysis using state space approach in hybrid function domain and the theory of HF domain approximation of functions with time delay is presented.
Abstract: This chapter is devoted to multi-delay system analysis using state space approach in hybrid function domain. First, the theory of HF domain approximation of functions with time delay is presented. This is followed by integration of functions with time delay. Then analysis of both homogeneous and non-homogeneous systems are given along with numerical examples. States of the systems are solved. Illustration of the theory has been provided with the support of eight examples, nineteen figures and four tables.
Book ChapterDOI
01 Jan 2016
TL;DR: In this article, the authors presented the solution of first order linear differential equations using both HF domain differentiation operational matrices and integration operational matrix, and compared the results by way of treating five examples.
Abstract: This chapter is devoted to linear differential equations . That is, it presents the solution of first order differential equations using both HF domain differentiation operational matrices and integration operational matrices. Higher order differential equations are also solved via the same first order operational matrices, and again employing one-shot integration matrices. The results are compared by way of treating five examples. Eleven figures are presented as illustration of the HF domain techniques.

Cited by
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Journal ArticleDOI
TL;DR: An alternative and efficient method based on the formalism of artificial neural networks is discussed and the efficiency of the mentioned approach is theoretically justified and illustrated through several qualitative and quantitative examples.
Abstract: In this paper, we present and investigate the analytical properties of a new set of orthogonal basis functions derived from the block-pulse functions. Also, we present a numerical method based on this new class of functions to solve nonlinear Volterra–Fredholm integral equations. In particular, an alternative and efficient method based on the formalism of artificial neural networks is discussed. The efficiency of the mentioned approach is theoretically justified and illustrated through several qualitative and quantitative examples.

13 citations

Journal ArticleDOI
TL;DR: A new method is introduced to design static output tracking controllers for a class of non-linear polynomial time-delay systems based on the projection of the controlled system and the associated linear reference model that it should follow over a basis of block-pulse functions.
Abstract: In this paper, a new method is introduced to design static output tracking controllers for a class of non-linear polynomial time-delay systems. The proposed technique is based on the projection of the controlled system and the associated linear reference model that it should follow over a basis of block-pulse functions. The useful properties of these orthogonal functions such as operational matrices jointly used with the Kronecker tensor product may transform the non-linear delay differential equations into linear algebraic equations depending only on parameters of the feedback regulator. The least-squares method is then used for determination of the unknown parameters. Sufficient conditions for the practical stability of the closed-loop system are derived, and a domain of attraction is estimated. The implementation of the proposed method is illustrated on a double inverted pendulums benchmark as well as a two-degree-of- freedom mass-spring-damper system. The simulation results show the effectiven...

11 citations

Journal ArticleDOI
TL;DR: The finite difference and shift operators in combination with the frequency-shifting property of Laplace transform is applied instead of algebraic derivatives and resulting state-space realization of the estimator filters is asymptotically stable and doesn’t require switch-of mechanism to prevent overflow of the estimation variables.
Abstract: In this paper a new approach to algebraic parameter identification of the linear SISO systems is proposed. The standard approach to the algebraic parameter identification is based on the algebraic derivatives in Laplace domain as the main tool for algebraic manipulations like elimination of the initial conditions and generation of linearly independent equations. This approach leads to the unstable time-varying state-space realization of the filters for the on-line parameter estimation. In this paper, the finite difference and shift operators in combination with the frequency-shifting property of Laplace transform is applied instead of algebraic derivatives. Resulting state-space realization of the estimator filters is asymptotically stable and doesn’t require switch-of mechanism to prevent overflow of the estimator variables. The proposed method is especially suitable for applications in closed-loop on-line identification where the stable behavior of the estimators is a necessary requirement. The efficiency of the proposed algorithm is illustrated on three simulation examples.

8 citations