Manashita Borah

• PhD
• University of California, Berkeley

Improving battery health and safety motivates the synergy of a powerful duo: physics and machine learning. Through seamless integration of these disciplines, the efficacy of mathematical battery models can be significantly enhanced. This paper delves into the challenges and potentials of managing battery health and safety, highlighting the transfor...

Lithium-ion batteries have found their way into myriad sectors of industry to drive electrification, decarbonization, and sustainability. A crucial aspect in ensuring their safe and optimal performance is monitoring their energy state. In this paper, we present the first study on predicting the remaining energy of a battery cell undergoing discharg...

An efficient state of charge (SOC) estimation for LiFePO4 batteries in electric vehicles (EVs) has been an open problem so far, largely due to its non-measurable nature. This paper tackles this problem by presenting a fractional-order (FO) dynamical framework to unravel and understand the inherent dynamics of the LiFePO4 battery which leads to an i...

The basic parameters of an electromagnetic levitation systems are resistance of the coil, inductance of the coil, air-gap between magnet and the object, coil current, mass of the object, controller parameters and so on. The levitation systems are highly unstable and strongly non-linear. In real-life applications, these parameters are supposed to va...

Chaotic states of abnormal vasospasms in blood vessels make heart patients more prone to severe infections of COVID-19, eventually leading to high fatalities. To understand the inherent dynamics of such abrupt vasospasms, an N-type blood vessel model subjected to uncertainties is derived in this paper and investigated both in integer-order (IO) as...

The deadly outbreak of the second wave of Covid-19, especially in worst hit lower-middle-income countries like India, and the drastic rise of another growing epidemic of Mucormycosis, call for an efficient mathematical tool to model pandemics, analyse their course of outbreak and help in adopting quicker control strategies to converge to an infecti...

India is one of the worst hit regions by the second wave of COVID-19 pandemic and ‘Black fungus’ epidemic. This paper revisits the Bombay Plague epidemic of India and presents six fractional-order models (FOMs) of the epidemic based on observational data. The models reveal chaotic dispersion and interactive coupling between multiple species of rode...

This work investigates new fractional-order (FO) models of six chaotic diseases whose fractional dynamics have not been studied so far in literature. Here, we design and analyse suitable controllers to control chaos in these bio- mathematical models that show chaos and require stability; and anticontrollers to generate chaos where it is absent and...

The operation of memristive, meminductive and memcapacitve circuit components depend on their history of devices, i.e. they are memory dependent. This paper proposes new fractional-order (FO) models of four such circuits since FO derivative is calculated using the past history of time and helps in understanding the memory dependent dynamics of thes...

The problem of designing fractional-order hyperchaotic systems (FOHSs) by a consistent and systematic procedure is still an open one at large. The tedious hit and trial design procedures adopted in literature to generate hyperchaos pose as a hindrance; especially when the dimension of the system is high. The paper thus presents a solution to the ab...

This paper proposes new fractional-order (FO) models of seven nonequilibrium and stable equilibrium systems and investigates the existence of chaos and hyperchaos in them. It thereby challenges the conventional generation of chaos that involves starting the orbits from the vicinity of unstable manifold. This is followed by the discovery of coexisti...

The paper proposes a total of four fractional-order systems (FOSs) that display a variety of nonlinear dynamical behaviour, each having a speciality of its own. The first is a fractional-order (FO) model of a hypogenetic jerk system that has four equilibrium points and exhibits asymmetric coexisting attractors. The second is a FO hypogenetic jerk s...

This paper presents a comparative analysis of performance between integer order proportional derivative (IOPD) and fractional order proportional derivative (FOPD) controllers for the trajectory tracking of a ball in ball and plate system. The controllers are designed minimising integral square error using Bat Algorithm, Gravitational Search Algorit...

This paper presents a new chaotic system that exhibits a two wing (2W) chaotic attractor in its inte- ger order dynamics, three-wing (3W) and four-wing (4W) chaotic attractors in its fractional-order (FO) dynamics, and an eight-wing (8W) attractor in its nonautonomous fractional dynamics. An interesting feature of the proposed system is that two di...

This paper presents an interesting phenomenon unobserved so far in literature to the best of the authors’ knowledge in fractional-order chaotic systems (FOCSs). It is the rotational phenomenon of fractional-order coexisting attractors. Another significant feature of the newly proposed FOCS is that two 2-wing chaotic attractors coexist in its fracti...

This paper presents a new fractional-order hidden strange attractor generated by a chaotic system without equilibria. The proposed non-equilibrium fractional-order chaotic system (FOCS) is asymmetric, dissimilar, topologically inequivalent to typical chaotic systems and challenges the conventional notion that the presence of unstable equilibria is...

This paper aims at enhancing the level of security in chaotic communication for which a switching synchronisation scheme is designed. The authors propose a novel fractional-order chaotic system (FOCS) which undergoes switching between integer-order and fractional-order dynamical subsystems with the help of the synchronisation scheme put forward. Th...

This paper puts forward the construction of a new chaotic system based on anti-control of chaos. The Bhalekar-Gejji (BG) chaotic system undergoes chaotification in order to generate chaos. Chaotification is achieved by destabilising the equilibria. The novelty of the paper is that the BG system is subjected to chaotification for the very first time...

A systematic design procedure for generating fractional-order hyperchaotic systems (FOHSs) with a desired number of positive Lyapunov Exponents (LEs) remains an open problem. This paper puts forward a simple step-wise algorithm to tackle the above problem for a fractional-order system (FOS) to generate hyperchaos with effective dimension nd > 3 onw...

The paper focuses on two prime objectives. The first is to detect chaos in the fractional-order model of a PMSG and the second is to suppress chaos using a novel predictive control scheme in the fractional order sense. The main contributions of the paper, therefore, lie in discovering the minimum commensurate of order for which chaos exists in the...

This paper presents (1) a new and improved fractional-order chaotic system (FOCS); (2) design of controllers for suppression of chaos for commensurate and incommensurate orders in the regions: \(0<\alpha \le 1\) and \(1<\alpha <2\); (3) synchronisation between the new FOCS (as master) and a non-identical FOCS (as slave) when the master is in either...

This paper puts forward the design of PID and FOPID controllers along with its validation through hardware implementation in the Maglev system. The purpose of this work is not only to stabilize a ferromagnetic ball but also to control its position to track a reference signal. The designs have been carried out using the optimizing algorithms namely,...

In this paper, the author has proposed a Fractional Order Proportional Derivative (FOPD) controller tuned by Firefly Algorithm, that has a high convergence rate, robustness and the capability to attain global optimum in less number of iterations. The facts and contributions distinguishing this work are: Firstly, the simulation has been carried out...

This paper deals with real-time identification of magnetic levitation model. . For this motive, two methodologies are adopted, namely, integer order identification and a new concept of fractional order system identification that has been incorporated for the first time in this particular model. A comparison of the two is shown in which the latter f...