Optimal Robust Adaptive Fuzzy H∞ Tracking Control without Reaching Phase for Nonlinear System by El Mehdi Mellouli, Siham Massou, Ismail Boumhidi

“…An optimal H∞ tracking-based indirect adaptive fuzzy controller for a class of perturbed uncertain affine nonlinear systems without reaching phase is being developed in this paper. …”
Get full text

Robust Distributed H∞ Filtering for Nonlinear Systems with Sensor Saturations and Fractional Uncertainties with Digital Simulation by Dong Liu, Guangfu Tang, Zhiyuan He, Yan Zhao, Hui Pang

“…This paper is concerned with the robust distributed H∞ filtering problem for nonlinear systems subject to sensor saturations and fractional parameter uncertainties. …”
Get full text

Innovative observer design for nonlinear systems using Caputo fractional derivative with respect to another function by Kareem Alanazi, Omar Naifar, Raouf Fakhfakh, Abdellatif Ben Makhlouf

“…By extending the widely recognized Caputo-Hadamard (CH) fractional-order derivative, we address its utility in nonlinear systems. The core of our contribution is the practical stability for systems governed by this derivative, which ensures convergence toward a bounded region around the origin. …”
Get full text

A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like Systems by Ricardo Aguilar-López, Juan L. Mata-Machuca

Get full text

Fourth- and Fifth-Order Methods for Solving Nonlinear Systems of Equations: An Application to the Global Positioning System by Manuel F. Abad, Alicia Cordero, Juan R. Torregrosa

“…Two iterative methods of order four and five, respectively, are presented for solving nonlinear systems of equations. Numerical comparisons are made with other existing second- and fourth-order schemes to solve the nonlinear system of equations of the Global Positioning System and some academic nonlinear systems.…”
Get full text

Tracking Control Based on Recurrent Neural Networks for Nonlinear Systems with Multiple Inputs and Unknown Deadzone by J. Humberto Pérez-Cruz, José de Jesús Rubio, E. Ruiz-Velázquez, G. Solís-Perales

“…This paper deals with the problem of trajectory tracking for a broad class of uncertain nonlinear systems with multiple inputs each one subject to an unknown symmetric deadzone. …”
Get full text

Neural Network Identification and Sliding Mode Control for Hysteresis Nonlinear System with Backlash-Like Model by Ruiguo Liu, Xuehui Gao

“…A new neural network sliding mode control (NNSMC) is proposed for backlash-like hysteresis nonlinear system in this paper. Firstly, only one neural network is designed to estimate the unknown system states and hysteresis section instead of multiscale neural network at former researches since that can save computation and simplify the controller design. …”
Get full text

An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications by Gaohang Yu, Shanzhou Niu, Jianhua Ma, Yisheng Song

“…Combining multivariate spectral gradient method with projection scheme, this paper presents an adaptive prediction-correction method for solving large-scale nonlinear systems of monotone equations. The proposed method possesses some favorable properties: (1) it is progressive step by step, that is, the distance between iterates and the solution set is decreasing monotonically; (2) global convergence result is independent of the merit function and its Lipschitz continuity; (3) it is a derivative-free method and could be applied for solving large-scale nonsmooth equations due to its lower storage requirement. …”
Get full text

Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices by Genghong Lin, Zhan Zhou

“…By using critical point theory, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite lattices. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. …”
Get full text

Nonlinear System Identification Using Quasi-ARX RBFN Models with a Parameter-Classified Scheme by Lan Wang, Yu Cheng, Jinglu Hu, Jinling Liang, Abdullah M. Dobaie

“…Quasi-linear autoregressive with exogenous inputs (Quasi-ARX) models have received considerable attention for their usefulness in nonlinear system identification and control. In this paper, identification methods of quasi-ARX type models are reviewed and categorized in three main groups, and a two-step learning approach is proposed as an extension of the parameter-classified methods to identify the quasi-ARX radial basis function network (RBFN) model. …”
Get full text

Sequential Geometric Programming Method for Parameter Estimation of a Nonlinear System in Microbial Continuous Fermentation by Gongxian Xu, Zijia Liu

Get full text

Fractional Soliton Dynamics and Spectral Transform of Time-Fractional Nonlinear Systems: A Concrete Example by Sheng Zhang, Yuanyuan Wei, Bo Xu

Get full text

Normal Form for High-Dimensional Nonlinear System and Its Application to a Viscoelastic Moving Belt by S. P. Chen, Y. H. Qian

“…First, a new computation method is proposed for significantly refining the normal forms for high-dimensional nonlinear systems. The improved method is described in detail by analyzing the four-dimensional nonlinear dynamical systems whose Jacobian matrices evaluated at an equilibrium point contain three different cases, that are, (i) two pairs of pure imaginary eigenvalues, (ii) one nonsemisimple double zero and a pair of pure imaginary eigenvalues, and (iii) two nonsemisimple double zero eigenvalues. …”
Get full text

Bounded Analysis and Practical Tracking Control of Complex Stochastic Nonlinear Systems with Unknown Control Coefficients by Long-Chuan Guo, Xiang-Kun Fang

“…This paper mainly focuses on the output practical tracking controller design for a class of complex stochastic nonlinear systems with unknown control coefficients. In the existing research results, most of the complex systems are controlled in a certain direction, which leads to the disconnection between theoretical results and practical applications. …”
Get full text

Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control by Mingzhu Song, Wenwen Cheng, Quanxin Zhu, Hongwei Zhou, Hui Wang

“…In particular, we extend the deterministic nonlinear system to stochastic nonlinear systems with time-varying delays. …”
Get full text

Adaptive Fuzzy Sliding Mode Tracking Control of Uncertain Underactuated Nonlinear Systems: A Comparative Study by Faten Baklouti, Sinda Aloui, Abdessattar Chaari

“…The trajectory tracking of underactuated nonlinear system with two degrees of freedom is tackled by an adaptive fuzzy hierarchical sliding mode controller. …”
Get full text

Output Tracking via Adaptive Backstepping Higher Order Integral Sliding Mode for Uncertain Nonlinear Systems by M. Pervaiz, Q. Khan, A. I. Bhatti, S. A. Malik

Get full text

Fuzzy filtering‐based fault detection for a class of discrete‐time conic‐type nonlinear systems by Jiancheng Wang, Shuping He

“…Abstract The authors investigates the problem of fuzzy fault detection filter (FFDF) design for a class of discrete‐time conic‐type nonlinear systems. By applying Takagi–Sugeno fuzzy models, the conic‐type dynamic FFDF system is established. …”
Get full text

Multiplicative Fault Estimation-Based Adaptive Sliding Mode Fault-Tolerant Control Design for Nonlinear Systems by Ali Ben Brahim, Slim Dhahri, Fayçal Ben Hmida, Anis Sellami

“…This article deals with the sliding mode fault-tolerant control (FTC) problem for a nonlinear system described under Takagi-Sugeno (T-S) fuzzy representation. …”
Get full text

A Dynamic Design Methodology for Large-Scale Complex Nonlinear Systems Based on Orthogonal Decomposition Technique by Qi-Bin Wang, Si-Yang Piao, Ming-Wei Piao, Peng Dang, Qiu-Ze Li, Jing-Ying Ren

“…HSRS is taken as a typical research case of large-scale complex nonlinear systems, and the re-innovation of associated imported technologies needs to be combined with the particularities of Chinese HSR practices, seeking a more suitable dynamic design methodology to conduct the self-adaptive improved design. …”
Get full text