Papers by PIYUSH PRATAP SINGH
Synchronisation of Unified Chaotic Systems Using Modified Nonlinear Active Control: Circuit Design, Implementation, and Secure Communication
IETE Journal of Research, 2022
Generation of a multi‑scroll chaotic system via smooth state transformation
Journal of Computational Electronics, 2022
Chaos and multistability behaviors in 4D dissipative cancer growth/decay model with unstable line of equilibria
Chaos, Solitons and Fractals, 2022
The objective of this paper is to study the chaos and multistability behaviors in a 4D dissipativ... more The objective of this paper is to study the chaos and multistability behaviors in a 4D dissipative chaotic cancer growth/decay model. The 4D chaotic cancer growth/decay model has chaotic 2-torus and 2-torus quasiperiodic unique behaviors which reflect the fact that the tumor cell density has 2-torus quasi-periodic bifurcation between two values. As the tumor cell production rate is increasing, the bifurcation is growing more rapidly as chaotic 2-torus evolution and the tumor cell density becomes unstable. The 4D cancer growth/decay model has an unstable line of equilibria with saddle-focus behavior. The chaos and multistability behaviors are explored with different qualitative and quantitative dynamic tools like Lyapunov exponents, Lyapunov dimension, bifurcation diagram and Poincaré map. Tumor cell escalation/de-escalation, glucose level, number of tumor cells are considered to analyses chaos and multistability behaviors. The existence of multistability behavior in the 4D cancer model reveals that the different phenotypes are adopted by tumor cells, some of them become metastatic, adopt different behaviors and turn into a genomic event. The multistability behavior in the 4D chaotic cancer growth/decay model may be of capital importance in the dynamic evolution of the tumor since complication may occurs even after the required therapy. Simulations are done in MATLAB environment and are presented for effective verification of numerical approach. MATLAB simulated results correspond successful achievement of the objective.
Inter network synchronisation of complex dynamical networks by using smooth proportional integral SMC technique
Eur. Phys. J. Special Topics, 2020
PRAMANA- J. Phys., 2022
This paper explores nonlinear analysis of a novel small-scale grid and studies the impact of elec... more This paper explores nonlinear analysis of a novel small-scale grid and studies the impact of electromagnetic power, random wind power, periodic load and additive white Gaussian noise. Different behaviours such as period doubling bifurcation, chaos, chaos breaking and multistability are investigated and stability issues are revealed in the proposed small-scale grid. Qualitative and quantitative tools such as phase portraits, bifurcation diagrams, Lyapunov exponents, Lyapunov spectrum and basin of attraction are utilised to verify different dynamic behaviours. Erosion of basin region with varying parameter and external noise is reported. Further, the study of unlike behaviours, multistability and coexistence of attractors may be of capital importance in the dynamic evolution of the small-scale grid (SSG) behaviour since serious impediment may occur even after the required safeguards. The present study is expected to be potentially useful in a variety of modern or future power systems, microgrids etc. Numerical simulation is achieved and presented in the MATLAB environment.
DC Microgrid Power Management by Cascaded PI Control of HESS
2022 4th International Conference on Energy, Power and Environment (ICEPE)
Annual Reviews in Control, 2018
This paper puts forward the comparative performances for synchronisation between (i) systems from... more This paper puts forward the comparative performances for synchronisation between (i) systems from different chaotic system families, (ii) systems from the Unified Chaotic System (UCS) family, (iii) a hyperchaotic and a chaotic systems and (iv) identical chaotic systems. Three different well-known control techniques, i.e. Nonlinear Active Control (NAC), Sliding Mode Control (SMC) and Adaptive Control (AC) are used for synchronisation between various pairs of chaotic and/or hyperchaotic systems. Performances of NAC, SMC and AC techniques are investigated and compared with synchronisation of different pairs of chaotic systems based on the error dynamics and required control inputs. The integral square error and required control energy measures are considered for comparison. Finally, a generalised view on the use of the control techniques for synchronisation is finally proposed. Moreover, a new chaotic system is proposed and its qualitative analysis is done to illustrate the chaotic behaviour of the system. The new system is used as an example of synchronisation. MATLAB simulation results are presented which reflect the successful achievement of the objectives.
IETE Journal of Research, 2017
The objectives of this paper are synchronisation and anti-synchronisation between a hyperchaotic ... more The objectives of this paper are synchronisation and anti-synchronisation between a hyperchaotic and a chaotic systems using nonlinear active control (NAC) scheme, its analogue circuit design and application to secure communication. Hyperchaotic Lorenz-Stenflo system is used as a master and the chaotic (a hyperchaotic system in its chaotic state) Chen system is used as a slave in this paper. Chaotic slave system is controlled to make it synchronised and anti-synchronised with the hyperchaotic master system by designing a modified NAC law via suitable forcing. Proposed scheme is applied in communication to ensure more security of the message signal through hyperchaotic masking. The MATLAB environment is used to simulate synchronisation, antisynchronisation of the proposed hyperchaotic-chaotic pair using the modified NAC law and its application to secure communication application. The simulation results reflect the successful achievement of the objectives. Further, analogue circuit designs of the hyperchaotic Lorenz-Stenflo, the chaotic Chen systems as well as their synchronisation and anti-synchronisation of proposed pair using modified NAC are presented in this paper and realised in NI Multisim. NI Multisim circuit realisation results validate the simulation results and the fulfilment of the desired objectives of the paper.
Memristor-based asymmetric extreme multistable hyperchaotic system with a line of equilibria, coexisting attractors, its implementation and nonlinear active-adaptive projective synchronisation
The European Physical Journal Plus
Multistability, multiscroll chaotic attractors and angle instability in multi-machine swing dynamics
IFAC-PapersOnLine
Chaos control of an extended four dimensional fundamental power system using sliding mode control
2018 5th IEEE Uttar Pradesh Section International Conference on Electrical, Electronics and Computer Engineering (UPCON), 2018
In this paper, control of chaos in an extended four-dimensional fundamental power system (FDFPS) ... more In this paper, control of chaos in an extended four-dimensional fundamental power system (FDFPS) using sliding mode control (SMC) is considered. First order sliding mode control laws are derived in order to control the chaotic behaviour in FDFPS. The sufficient stability condition is devised for the designed sliding manifold based on Lyapunov stability theory. The proposed control law simplifies the controller design of power system stabilizer and provides an effective and robust control to avoid the instability in the FDFPS. Simulation is presented in MATLAB environment and reveals the effectiveness of proposed SMC scheme.
Analysis of Global Bifurcation and Chaotic Oscillation in Distributed Generation Integrated Novel Renewable Energy System
2018 15th IEEE India Council International Conference (INDICON), 2018
In this paper, a distributed generation (DG) integrated novel renewable energy system is proposed... more In this paper, a distributed generation (DG) integrated novel renewable energy system is proposed and analysis of bifurcation, chaotic behavior is observed. The integration of DG is the main property of renewable energy system, so in this model wind turbine generator (WTG) is integrated as a DG. Furthermore, dynamical load and Flexible AC Transmission System (FACTS) devices are also integrated. Renewable energy system is very complex, nonlinear dynamical system and it may exhibit chaos phenomenon in case of small, large disturbances or system parameter variations. The study of bifurcation and chaos behavior is essential in the proposed renewable energy system because it may lead to very serious results like voltage collapse, angle instability sometime blackout. The observation of bifurcation and chaotic oscillations are analyzed for wide range of parameter variations with the help of Lyapunov exponent, Lyapunov spectrum and bifurcation diagram. Simulation are done in MATLAB environment and simulation results reveals that the objective is achieved successfully.
A Novel Oscillator with Different Nature of the Equilibria and Its Analysis
2019 Second International Conference on Advanced Computational and Communication Paradigms (ICACCP), 2019
This paper puts forward a novel three dimensional autonomous oscillator. The dynamics of the prop... more This paper puts forward a novel three dimensional autonomous oscillator. The dynamics of the proposed system has two squares and one cubic nonlinear term. Rigorous mathematical analysis is done for the proposed oscillator system. The mathematical analysis uncovers the nature of equilibrium points existing within the system. The different nature of the equilibrium points are centre node, saddle node and saddle focus. The analysis is achieved using Routh-Hurwitz criterion and its array formulation. The analysis by Routh Hurwitz method paves the way to identify the oscillatory behaviour of the system. MATLAB simulation environment is used to verify the occurrence of oscillations. MATLAB simulation results corresponds the numerical or mathematical results.
2020 IEEE 17th India Council International Conference (INDICON), 2020
This paper posit a novel three dimensional autonomous chaotic system. A six dimensional system is... more This paper posit a novel three dimensional autonomous chaotic system. A six dimensional system is derived from the proposed three dimensional autonomous chaotic system by considering its real state variables as complex state variables. The derived system has nine equilibria and shows hyperchaotic 3-torus behaviour. Basic dynamical properties like types of equilibrium point, symmetry, invariance, dissipation, Lyapunov exponent, Lyapunov dimension are calculated and analysed for both the real and complex valued systems. Different qualitative and quantitative tools such as time series, phase plane, Lyapunov exponent spectrum and Lyapunov dimension are used to analyse different dynamic behaviours of both real and complex valued system. MATLAB simulation environment is used for the effective verification of the numerical or theoretical approach. Simulation results reveal that objectives are achieved successfully.
Anti-Synchronisation of Vallis Chaotic Systems using Nonlinear Active Control Technique Quantitative Features of El-Nino Southern Oscillation (ENSO) Phenomenon
2018 2nd International Conference on Power, Energy and Environment: Towards Smart Technology (ICEPE), 2018
In this paper, anti-synchronisation of Vallis chaotic systems is reported. Vallis chaotic system ... more In this paper, anti-synchronisation of Vallis chaotic systems is reported. Vallis chaotic system represents the fluctuation of surface temperatures in the east and west part of the Equatorial Ocean and a wind driven current advecting temperature field. A nonlinear active control technique is used to achieve the anti-synchronisation of Vallis chaotic systems. The modified nonlinear active control laws are derived by using sum of the relevant variables of the master and slave systems. Required Lyapunov stability condition is derived to ensure the asymptotic stability of the error dynamics. MATLAB simulation results are presented and reflect that the proposed objective is achieved successfully.
A 4D chaotic system with seventeen equilibria: Synchronization and anti-synchronization
2021 1st International Conference on Power Electronics and Energy (ICPEE), 2021
This paper puts forward a 4D autonomous chaotic system, synchronisation and anti-synchronisation ... more This paper puts forward a 4D autonomous chaotic system, synchronisation and anti-synchronisation using nonlinear active control technique. The 4D chaotic system is analyzed by using available qualitative and quantitative tools like phase plane analysis, time series plot, root locus, Lyapunov exponent and spectrum analyses. The proposed 4D chaotic system has seventeen equilibria and coexisting attractors of two and single wings and shows symmetric phase plane behaviour with respect to origin and coordinate plane. The proposed 4D autonomous dynamic system reflects sensitive dependence on initial conditions and exploring different types of synchronisation between 4D chaotic systems is a challenging task. Synchronisation and anti-synchronisation between proposed 4D chaotic systems are accomplished using nonlinear active control technique. Control laws are designed by employing sum of pertinent variables of 4D drive and response chaotic systems. Lyapunov direct stability theorem is used ...
Doppler velocity measurement using closed-loop Goertzel algorithm in PLL technique
2018 IEEE International Conference on Industrial Technology (ICIT), 2018
A closed-loop comb-Goertzel algorithm in phase-locked loop technique is proposed for non-contact ... more A closed-loop comb-Goertzel algorithm in phase-locked loop technique is proposed for non-contact method of Doppler velocity extraction from a moving object. The Goetrzel algorithm is an efficient Discrete Fourier Transform (DFT) where the system complexity reduces from normal Sliding-DFT (SDFT) algorithm by inserting zero/pole in the system function. Stability is improved by introducing a damping factor that allows the system poles to lie within the unit circle z-plane. The algorithm is implemented in phase locking design to enhance the sampling control adaptively. The simulation and experimental investigations show less errors even in large noise condition.
Bifurcation, Chaos and PID Sliding Mode Control of 3-Bus Power System
2020 3rd International Conference on Energy, Power and Environment: Towards Clean Energy Technologies, 2021
This paper exclaims analysis of bifurcation and chaos phenomena in a 3-bus electrical power syste... more This paper exclaims analysis of bifurcation and chaos phenomena in a 3-bus electrical power system model. The nonlinear dynamic modeling of proposed power system is achieved using generator, load models and equivalent circuit of 3-bus model. The reactive power of the motor is considered as a varying or bifurcation parameter and existence of dynamic behaviors like bifurcation and chaos in 3-bus power system model is discussed via. phase plane, time series plot, bifurcation diagram, Lyapunov spectrum and Poincare map. PID sliding surface-based sliding mode control is designed to control undesirable chaotic behavior in the proposed 3-bus power system and is not available in the literature. Simulation is achieved in MATLAB environment and obtained results show successful achievement of the objectives.
A Chaotic System with Large Lyapunov Exponent: Nonlinear Observer Design and Circuit Implementation
2020 3rd International Conference on Energy, Power and Environment: Towards Clean Energy Technologies, 2021
This paper puts forward the analysis, design, implementation a new chaotic system and observer de... more This paper puts forward the analysis, design, implementation a new chaotic system and observer design of new chaotic systems. Different tools like phase plane, time series, Lyapunov spectrum, Poincare map, Lyapunov exponents and Lyapunov dimension are exercised to analyses different behaviors of the proposed system. Proposed chaotic system is considered for the observer-based synchronization and linear matrix inequality (LMI) approach is utilized to obtain non-convex inequality as well as to solve the optimal value of observer gain. Simulation is achieved in MATLAB environment to demonstrate the effectiveness and Multisim circuit design platform to validate the numerical approach and simulation results. Finally, achieved circuit implementation results disclose that aims are accomplished satisfactorily.
Analysis and Control of Chaotic Oscillation in FOSMIB Power System Using AISMC Technique
2019 IEEE Students Conference on Engineering and Systems (SCES), 2019
It is well known that the chaotic oscillation is unacceptable for the healthy operation of the po... more It is well known that the chaotic oscillation is unacceptable for the healthy operation of the power system, it may reduce the boundary limit of steady state stability. Chaos due to boundary crises may lead the system to very serious situations such as voltage instability, angle instability and voltage collapse. In this paper, fractional order calculus is presented to analyse the single machine infinite bus power system (SMIB) model to investigate the nonlinear dynamical behaviour with more precision and accuracy. A robust fractional order adaptive integral sliding mode control (FO-AISMC) technique is designed to suppress chaos. The FO-AISMC technique can also handle unknown uncertainty present in the power system. The observation of chaotic oscillation is investigated with the help of bifurcation theory and Lyapunov exponents. FO-AISMC control laws are designed to control the chaotic oscillations. Lyapunov stability theory is used to devise the required stability condition. Simulation is achieved in MATLAB environment and verifies the theoretical approach.
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Papers by PIYUSH PRATAP SINGH