Forthcoming articles


International Journal of Nonlinear Dynamics and Control


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International Journal of Nonlinear Dynamics and Control (9 papers in press)


Regular Issues


  • Genetic model reference adaptive control of shell heavy oil fractionator   Order a copy of this article
    by Dauda Araromi, Aminah Sulayman, Olajide Ajala 
    Abstract: Fractionators are characterized by high non-linear dynamic behaviour, strong loop interactions and model uncertainties. Relative Gain Array was used to determine the level of loop interaction. Dynamic decoupler was used to remove the interactions which were obtained using feed-forward design technique. A feedback control system is designed for the dynamic decoupled plant using Ziegler-Nichols tuned Proportional Integral (PI) controller. A Genetic Model Reference Adaptive Controller (GMRAC) is designed to control the fractionator using a second order reference model and adaptation mechanism based on genetic algorithm. Genetic algorithm uses real coded data generation for optimization. Comparison is made with the PI controller. Performance indices were based on settling time, rise time and overshoot.
    Keywords: GMRAC; adaptive control; PI; MATLAB; relative gain array; shell heavy oil fractionator.

  • Dynamic Flow Control of a Photovoltaic Pumping System Based Asynchronous Induction Motor   Order a copy of this article
    by LAYATE Zakaria, BAHI Tahar, LEKHCHINE Salima 
    Abstract: In this study, a dynamic control have been developed to improve the performances of photovoltaic system fed three phases induction motor drive which serves for pumping applications. Photovoltaic systems have one of the highest potentials for generating electrical power. In this systems, the photovoltaic cell is the basic device of the conversion process. Indeed, photovoltaic cells are low power generators. Therefore, association of serial and parallel cells and modules forming photovoltaic generator is mostly recommended for supplying isolated areas where pumping systems play a predominant role. However, the generated power depends ,essentially, on climatic parameters especially the temperature and the solar irradiation. So, to improve photovoltaic installations yield, a maximum power point tracker controller embedded boost converter which serves to maximize produced power whatever climatic operating conditions. furthermore, due to the remarkable performances, the researches proved that pumping systems based photovoltaic generators have became ideal structures for remote areas. The simulation results under MatLab/Simulink software reveal that the proposed system is versatile.
    Keywords: Renewable energy; photovoltaic; motor; inverter; pumping; MPPT; control;.

  • Chaotic Financial System with Uncertain Parameters - Its Control and Synchronisation   Order a copy of this article
    by Babatunde Idowu, Olasunkanmi I. Olusola, Okpabi S. Onma, Sundarapandian Vaidyanathan, Cornelius O. Ogabi, Olujimi A. Adejo 
    Abstract: This paper examines the control and synchronisation of the chaotic financial system with uncertain parameters as well as known parameters using adaptive control technique. The designed adaptive controller control and globally synchronises two identical chaotic financial systems evolving from different initial conditions. The designed controller is capable of stabilizing the financial system at any position as well as controlling it to track any trajectory that is a smooth function of time. Numerical simulations are presented to demonstrate the feasibility of the proposed schemes.
    Keywords: Chaotic Financial System; Adaptive control; Lyapunov exponent; uncertain parameters; economics.

  • Reduced Order Synchronization for Circular Restricted Three Body Problem using Adaptive Sliding Mode Controller   Order a copy of this article
    by Mohammad Shahzad 
    Abstract: This paper studies the reduced order synchronization for a circular restricted three body problem and Lorenz system as drive and response systems respectively via a robust adaptive sliding mode control in which controllers are based on negligible chattering phenomenon. The entire study has been carried out under the effect of both unknown model uncertainties and external disturbance. Also for the same drive-response system, a secure communication scheme has been presented.
    Keywords: Chaos synchronization; Adaptive sliding mode control; Circular restricted three body problem.

  • Chaos Control of Non Linear Aeroelastic Pitch Plunge Model   Order a copy of this article
    by Raja Venkata Narasinga Rao, Chandramouli Padmanabhan 
    Abstract: This paper deals with the control of chaos in a non-linear aeroelastic pitch-plunge model for aircraft wings. While design of non-linear controllers to asymptotically stabilize the initial bifurcation exists in the current literature, the primary goal of this paper is to control the chaotic motion using feedback linearization. For this purpose, a pitch-plunge model with two flaps is considered for the study. The approach proposed for the control of chaos is that of a tracking problem where the system is controlled to a defined limit cycle; thus the chaotic motion is replaced by orbital stability. Using Lie Algebra, a feedback linearization is performed by transforming the non-linear space to a linear one. The error dynamics is established as the deviation of the chaotic trajectory from that of the desired path and tracking is achieved by reducing the error to zero. The ability of this approach to control chaos is demonstrated for a certain set of parameters of the pitch-plunge model, chosen from the literature. In order to validate the approach followed in this paper, the R{\"o}ssler system undergoing chaotic motion is tracked to a LCO and results are compared with the literature
    Keywords: Flutter; Chaos; Feedback Linearization; Tracking Control.

Special Issue on: Synchronisation and Nonlinear Control Engineering Systems

  • Nonlocal coupling among oscillators mediated by fast travelling waves   Order a copy of this article
    by Raul Aristides, Ricardo Viana 
    Abstract: We propose a general model for coupling among oscillators mediated by wave propagation in the spatial region in which the oscillators are embedded. Particular cases are presented in one, two, and three spatial dimensions.
    Keywords: synchronization; coupled oscillators; non-local coupling.

    by Tatyana Krasnopolskaya, Evgeniy Pechuk 
    Abstract: The purpose of our work is to study an oscillating system and an electro-dynamical transducer, which are driven either by the amplifier or wave field. In the first case electrical current produced by an amplifier is converted by the transducer into mechanical force, which leads to vibrations of the base. A mechanical oscillator is mounted on the transducer base. The influence of oscillator vibrations on the formation of the driving force leads to a number of specific effects, in particular, to the Sommerfeld Kononenkos effect. Steady-state regimes of the constructed model are investigated by methods of the theory of dynamical systems. Expressions for supplied and consumed powers are shown and investigated for regular and chaotic regimes. The inverse problem model is also discussed. The classical results for wave power absorption by wave energy extractor as a single degree of freedom system are presented in the second considered problem. The example includes an axisymmetric buoy which oscillates and is subjected to its natural hydrostatic restoring force. Main attention focuses on the values and expressions for the mean powers. The expression for the maximum mean power is given for the considering system.
    Keywords: Sommerfeld – Kononenko effect; steady – state regimes; energy extractor.

Special Issue on: GEEE-2018 New Contributions on Advanced Control Techniques

  • Spacecraft Attitude Maneuver using Robust Generalized Dynamic Inversion   Order a copy of this article
    by Uzair Ansari, Abdulrahman Bajodah 
    Abstract: This paper presents the design of rigid body spacecraft attitude control using Robust Generalized Dynamic Inversion (RGDI). In RGDI control, the particular part is responsible to enforce the constraint dynamics based on the attitude deviation function. The control law is extracted by inverting the prescribed constraint dynamics using Moore-Penrose Generalized Inverse (MPGI). The auxiliary part of the RGDI control which is affine in the null space of the control coefficient vector is utilized to stabilize the angular body rates. The singularity problem is addressed by augmenting the dynamic scale factor in MPGI. To guarantee robustness against parametric variations and disturbances, an additional term based on the concept of Sliding Mode Control is integrated with GDI, such that semi-global practically stable attitude tracking is guaranteed. The RGDI controller's performance is evaluated through numerical simulations on the spacecraft mathematical model whose kinematical and dynamical equations are modeled in Simulink/Matlab environment.
    Keywords: Generalized Dynamic Inversion; Sliding Mode Control; Spacecraft Control; Lyapunov Stability; Robust Control.

  • Quadcopter Attitude and Altitude Tracking by using improved PD Controllers   Order a copy of this article
    by KHADIJA EL HAMIDI, Mostafa Mjahed, Abdeljalil El Kari, Hassan Ayad 
    Abstract: The quadcopter is a complex coupled nonlinear system with unstable behavior, which makes it difficult to control. Therefore, in this paper, we present an effective control method based on neural network gain-scheduled PD (NNGS-PD) and model reference controller based PD (MRC-PD) for quadcopter attitude stabilization and altitude tracking. Both nonlinear and linear methods verified the stability and robustness of the proposed controllers. The simulation results illustrate that the synthesis control methods have good performance in terms of attitude and altitude tracking when faced with external disturbances.
    Keywords: Quadcopter; Nonlinear; Attitude; Altitude; Proportional-Derivative; Parameter tuning; Neural network; Reference model.