Intelligent Controller Design for Quad-Rotor Stabilization in Presence of Parameter Variations by Oualid Doukhi, Abdur Razzaq Fayjie, Deok Jin Lee

“…The paper presents the mathematical model of a quadrotor unmanned aerial vehicle (UAV) and the design of robust Self-Tuning PID controller based on fuzzy logic, which offers several advantages over certain types of conventional control methods, specifically in dealing with highly nonlinear systems and parameter uncertainty. The proposed controller is applied to the inner and outer loop for heading and position trajectory tracking control to handle the external disturbances caused by the variation in the payload weight during the flight period. …”
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A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead-Zone by Jian-ming Wei, Yun-an Hu, Mei-mei Sun

“…This paper presents an adaptive iterative learning control (AILC) scheme for a class of nonlinear systems with unknown time-varying delays and unknown input dead-zone. …”
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Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation by Liu Xiaotian, Zhang Yongshuai, Yang Yunqing

“…In this article, the (3+1)-dimensional Hirota–Satsuma–Ito-like equation is investigated by the modified direct method, from which some interaction solutions among lump, stripe solitons, and Jacobi elliptic function wave solutions are obtained, which are crucial in understanding complex behaviors in nonlinear systems where multiple wave types coexist and interact. …”
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How Can Brain Learn to Control a Nonholonomic System? by Noriyasu Homma, Shinpei Kato, Takakuni Goto, Ivo Bukovsky, Ryuta Kawashima, Makoto Yoshizawa

“…Theoretically, it is well known that some nonlinear systems cannot be stabilized asymptotically by any linear controllers and we have reported by an f-MRI experiment that different types of information may be involved in linear and nonlinear control tasks, respectively, from a brain function mapping point of view. …”
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Integration of bifurcation analysis and optimal control of a molecular network by Lakshmi N Sridhar

“…Molecular biological networks are highly nonlinear systems that exhibit limit point singularities. …”
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A Few Remarks on the Poetics of Turbulence in Richard Powers’ Operation Wandering Soul by Jean-Yves Pellegrin

“…In order to counter their harmful effects, the novel thus sets about disturbing narrative order and our reading habits by turning itself into a turbulent text, modeling its innermost structures on that of nonlinear systems.…”
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Soliton outcomes and dynamical properties of the fractional Phi-4 equation by Md Mostafa, Mohammad Safi Ullah

“…Our results agree with previous results and may help researchers better understand the behavior of nonlinear systems. Furthermore, other fields such as biology, economics, and engineering can apply our results.…”
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A New Spectral Local Linearization Method for Nonlinear Boundary Layer Flow Problems by S. S. Motsa

“…We propose a simple and efficient method for solving highly nonlinear systems of boundary layer flow problems with exponentially decaying profiles. …”
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FSE-RBFNN-Based AILC of Finite Time Complete Tracking for a Class of Time-Varying NPNL Systems with Initial State Errors by Chunli Zhang, Lei Yan, Yangjie Gao

“…The paper proposed an adaptive iterative learning control (AILC) strategy for the unmatched uncertain time-varying nonparameterized nonlinear systems (NPNL systems). Addressing the difficulty of nonlinear parameterization terms in system models, a new function approximator (FSE-RBFNN) which is combined with radial basis function neural network (RBFNN) and Fourier series expansion (FSE) is introduced to model each time-varying nonlinear parameterization function. …”
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An Improved Internal Model Principle Based Multivariable Nonlinear Control Method with Multiclass Nonharmonic Disturbances and Its Application to Speed Control of a Motor Drive Sys... by Yang Yu, Zengqiang Mi, Tong Zhao, Yikun Xu

“…We study the global disturbance rejection problem for a class of general multivariable nonlinear systems with multiclass nonharmonic disturbances. …”
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Neural Network L1 Adaptive Control of MIMO Systems with Nonlinear Uncertainty by Hong-tao Zhen, Xiao-hui Qi, Jie Li, Qing-min Tian

“…An indirect adaptive controller is developed for a class of multiple-input multiple-output (MIMO) nonlinear systems with unknown uncertainties. This control system is comprised of an L1 adaptive controller and an auxiliary neural network (NN) compensation controller. …”
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Research on Small Sample Nonlinear Cointegration Test and Modeling Based on the LS-SVM Optimized by PSO by Jungang Du

“…The prediction effect can effectively predict small sample nonlinear systems. We also compare the prediction results with the wavelet neural network algorithm, and the results show that the generalization ability of LS-SVM Optimized by PSO is better, and the prediction accuracy of small samples is higher.…”
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A Comparative Study of Nonsingular Terminal Sliding Mode and Backstepping Schemes for the Coupled Two-Tank System by Safa Choueikh, Marwen Kermani, Faouzi M’sahli

“…The performances of the developed methods are experimentally tested on a particular class of second-order nonlinear systems. The main purpose of the considered control schemes is to achieve a tracking trajectory for a coupled-tank system. …”
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Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs by Mihai Lungu

“…The design of reduced-order multiple observers which can achieve the finite-time state reconstruction for nonlinear systems described by multiple models is a niche area problem; the author of this paper continuing his work started with the introduction of the reduced-order multiple observer concept. …”
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An exact approach to calibrating infectious disease models to surveillance data: The case of HIV and HSV-2 by David J. Gerberry

“…The technique is able to match surveillance data to high accuracy in a very efficient manner as it is based on the Newton-Raphson method for solving nonlinear systems. To demonstrate its robustness, we use the calibration technique on multiple models for the interacting dynamics of HIV and HSV-2.…”
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Synchronous Reluctance Motor: Dynamical Analysis, Chaos Suppression, and Electronic Implementation by Balamurali Ramakrishnan, Andre Chéagé Chamgoué, Hayder Natiq, Jules Metsebo, Alex Stephane Kemnang Tsafack

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Modal Parameter Identification Based on Hilbert Vibration Decomposition in Vibration Stability of Bridge Structures by Yingzhi Xia, Hui Li, Zhezhe Fan, Jiyong Xiao

“…The proposed method is proved to be efficient in modal parameter identification for both linear and nonlinear systems, with better frequency resolution, and it can be applied to systems with closely spaced modes and low-energy mode.…”
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Suppression of Base Excitation of Rotors on Magnetic Bearings by Steven Marx, C. Nataraj

“…Each disturbance frequency is expected to produce a multiharmonic system response, a characteristic of nonlinear systems. We apply optimal control choosing to minimize a performance index, which leads to the optimization of the trigonometric coefficients in the correction current function. …”
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A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network by Ran Wang, Chunbiao Li, Serdar Çiçek, Karthikeyan Rajagopal, Xin Zhang

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Chaotic Power System Stabilization Based on Novel Incommensurate Fractional-Order Linear Augmentation Controller by Abdul-Basset A. Al-Hussein, Fadhil Rahma Tahir, Karthikeyan Rajagopal

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