Fractional-Order Modeling and Analysis of a Variable Structure Hybrid Energy Storage System for EVs by Jianlin Wang, Dan Xu, Jiahui Zhou, Jinlu Mao

“…Since the hybrid energy storage system is a nonlinear and complex system, the modeling of the system and the high-precision nonlinear control strategy are technical difficulties for research. …”
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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

“…Humans can often conduct both linear and nonlinear control tasks after a sufficient number of trials, even if they initially do not have sufficient knowledge about the system's dynamics and the way to control it. …”
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Mitigation of epidemics in contact networks through optimal contact adaptation by Mina Youssef, Caterina Scoglio

“…Our results show that the piecewise nonlinear control function outperforms the well-known Bang-Bang control function in minimizing both the total number of infection cases and the reduction of contact weights. …”
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Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems by Nuo Jia, Tao Wang

“…Then the universal theories on modified projective synchronization (MPS) of the systems with general form which linearly depends on unknown parameters or time-varying parameters, are investigated by presenting an adaptive control strategy together with parameter update laws and a nonlinear control scheme based on Lyapunov stability theory. …”
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On the Dynamics of the Furuta Pendulum by Benjamin Seth Cazzolato, Zebb Prime

“…It provides a compact yet impressive platform for control demonstrations and draws the attention of the control community as a platform for the development of nonlinear control laws. Despite the popularity of the platform, there are very few papers which employ the correct dynamics and only one that derives the full system dynamics. …”
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Complete Asymptotic Analysis of a Two-Nation Arms Race Model with Piecewise Constant Nonlinearities by Chengmin Hou, Sui Sun Cheng

“…A discrete time two-nation arms race model involving a piecewise constant nonlinear control function is formulated and studied. By elementary but novel arguments, we are able to give a complete analysis of its asymptotic behavior when the threshold parameter in the control function varies from 0+ to ∞. …”
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Transformation of CLF to ISS-CLF for Nonlinear Systems with Disturbance and Construction of Nonlinear Robust Controller with L2 Gain Performance by Keizo Okano, Kojiro Hagino, Hidetoshi Oya

“…A new nonlinear control law for a class of nonlinear systems with disturbance is proposed. …”
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Fuzzy logic based plantwide control applied to ethanol production from potato starch by Amanda Fonseca Oliveira, Félix Rezende Santos, Rodolpho Rodrigues Fonseca

“… Industrial plants dedicated to ethanol production have a large number of interrelated processes and operations with nonlinear dynamics, requiring a process control design method considering plantwide aspects and nonlinear control techniques application, as fuzzy logic, to overcome disturbance effects on process control performance. …”
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Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit by A. G. Radwan, K. Moaddy, I. Hashim

“…The concept of the proposed technique is based on the nonlinear control theory and Lyapunov stability theory. …”
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Extended and Unscented Kalman Filtering Applied to a Flexible-Joint Robot with Jerk Estimation by Mohammad Ali Badamchizadeh, Iraj Hassanzadeh, Mehdi Abedinpour Fallah

“…Robust nonlinear control of flexible-joint robots requires that the link position, velocity, acceleration, and jerk be available. …”
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Nonlinear Augmented Proportional Navigation for Midrange Rendezvous Guidance and Performance Assessment by Weilin Wang, Xumin Song

“…The guidance law is named augmented proportional navigation (APN) by applying nonlinear control along LOS and classical proportional navigation normal to LOS. …”
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Integral Sliding Mode and Integral Supertwisting Sliding Mode Control for Ship Course-Keeping by Muhammad Munir Butt, Azhar Iqbal Kashif Butt, Iftikhar Ahmad

“…This paper proposes variable structure-based nonlinear control algorithms, including synergetic, terminal synergetic, integral sliding mode, and integral supertwisting sliding mode controllers, for ship course-keeping. …”
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Robustness Analysis of Control Laws in Complex Dynamical Networks Evoked by Deviating Argument by Biwen Lia, Jingjing Huang, Donglun Wang

“…We design two categories of control laws (linear control law and nonlinear control law) for the undisturbed CDNs to achieve exponential synchronization. …”
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Precision assembly error analysis of parts based on multi-constraint surface matching by Wenbin Tang, Tong Yan, Jinshan Sun, Yadong Li

“…To solve the model, Spatial Pyramid Matching with chaotic mapping is employed for population initialization, thereby enhancing population diversity. A nonlinear control mechanism is further introduced to dynamically adjust inertia weight, and a simulated annealing mechanism is integrated into the particle swarm optimization algorithm to enhance the efficiency of the surface matching process. …”
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Synchronization of Chaotic Gyros Based on Robust Nonlinear Dynamic Inversion by Inseok Yang, Dongik Lee

“…The proposed synchronization method is based on nonlinear dynamic inversion (NDI) control. NDI is a nonlinear control technique that removes the original system dynamics into the user-defined desired dynamics. …”
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Enhanced Second-Order Sliding Mode Control Technique for a Five-Phase Induction Motor by Mahmoud A. Mossa, Hamdi Echeikh, Najib El Ouanjli, Hassan Haes Alhelou

“…The proposed control approach finds its strongest justification for the problem of using a law of nonlinear control robust to the system uncertainties of the model without affecting the system’s simplicity. …”
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Free Vibration Response of a Frame Structural Model Controlled by a Nonlinear Active Mass Driver System by Ilaria Venanzi, Filippo Ubertini

“…In this paper, a nonlinear control strategy based on a modified direct velocity feedback algorithm is proposed for handling stroke limits of an active mass driver (AMD) system. …”
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Designing of Neuro-Fuzzy Controllers for Brushless DC Motor Drives Operating with Multiswitch Three-Phase Topology by Ch. Vinay Kumar, G. Madhusudhana Rao, A. Raghu Ram, Y. Prasanna Kumar

“…It has a facility for its multivariable system, nonlinear control process, and powerful coupling system. …”
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Asymmetric Barrier Lyapunov Function-Based Wheel Slip Control for Antilock Braking System by Xiaolei Chen, Zhiyong Dai, Hui Lin, Yanan Qiu, Xiaogeng Liang

“…To deal with the strong nonlinear characteristics, complex nonlinear control schemes are applied in ABS. However, none of existing control schemes focus on the braking operating status, which directly reflects wheels self-locking degree. …”
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Adaptive Output Feedback Control for the Trajectory Tracking of High-Speed Trains with Disturbance Uncertainties on the Basis of Neural Network Observers by Yang Liu, Weidong Li

“…All adaptive algorithms and the observer/controller are synthesized in nonlinear control systems. The error signals of the closed-loop trajectory tracking system are uniformly and eventually bounded through a formal proof on the basis of the Lyapunov methods. …”
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