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1

Muralidharan, Ajith, Ramtin Pedarsani, and Pravin Varaiya. "Analysis of fixed-time control." Transportation Research Part B: Methodological 73 (March 2015): 81–90. http://dx.doi.org/10.1016/j.trb.2014.12.002.

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HAYASHI, Takuya, and Hisakazu NAKAMURA. "Fixed-time Control Using Locally Semiconcave Control Lyapunov Function." Transactions of the Society of Instrument and Control Engineers 57, no. 11 (2021): 478–87. http://dx.doi.org/10.9746/sicetr.57.478.

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Li, Huijie, and Yuanli Cai. "On SFTSM control with fixed-time convergence." IET Control Theory & Applications 11, no. 6 (2017): 766–73. http://dx.doi.org/10.1049/iet-cta.2016.1457.

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Wang, Huanqing, Hanxue Yue, Siwen Liu, and Tieshan Li. "Adaptive fixed-time control for Lorenz systems." Nonlinear Dynamics 102, no. 4 (2020): 2617–25. http://dx.doi.org/10.1007/s11071-020-06061-z.

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Mercado-Uribe, Angel, and Jaime A. Moreno. "Fixed-Time Homogeneous Integral Controller." IFAC-PapersOnLine 51, no. 25 (2018): 377–82. http://dx.doi.org/10.1016/j.ifacol.2018.11.136.

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Han, Luxia, and Runzi Luo. "Fixed-time Control and Synchronization of Chaotic Systems Based on Impulsive Control." Journal of Physics: Conference Series 3004, no. 1 (2025): 012094. https://doi.org/10.1088/1742-6596/3004/1/012094.

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Abstract This study focuses on fixed-time stability and synchronization challenges in chaotic systems using impulsive control techniques. A ground breaking fixed-time stability theorem with optimal convergence time is introduced, merging impulsive and fixed-time control strategies. This approach establishes fixed-time stability criteria for chaotic system control and synchronization. Unlike continuous controllers in the existing literature, the proposed impulsive control method achieves system stability and synchronization within a fixed time, offers flexible impulsive sequences tailored to pr
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Moulay, Emmanuel, Vincent Léchappé, Emmanuel Bernuau, Michael Defoort, and Franck Plestan. "Fixed-time sliding mode control with mismatched disturbances." Automatica 136 (February 2022): 110009. http://dx.doi.org/10.1016/j.automatica.2021.110009.

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8

Wang, Zeng, Yuxin Su, and Liyin Zhang. "Fixed-time attitude tracking control for rigid spacecraft." IET Control Theory & Applications 14, no. 5 (2020): 790–99. http://dx.doi.org/10.1049/iet-cta.2019.0623.

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Lopez, Anthony, Wenlong Jin, and Mohammad Abdullah Al Faruque. "Security analysis for fixed-time traffic control systems." Transportation Research Part B: Methodological 139 (September 2020): 473–95. http://dx.doi.org/10.1016/j.trb.2020.07.002.

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10

Liu, Xinggui, and Xiaofeng Liao. "Fixed-time stabilization control for port-Hamiltonian systems." Nonlinear Dynamics 96, no. 2 (2019): 1497–509. http://dx.doi.org/10.1007/s11071-019-04867-0.

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11

Zou, An-Min, Krishna Dev Kumar, and Anton H. J. de Ruiter. "Fixed-time attitude tracking control for rigid spacecraft." Automatica 113 (March 2020): 108792. http://dx.doi.org/10.1016/j.automatica.2019.108792.

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12

Fang, Zheng, and Qing Li. "Fixed-time INDI control for UAV trajectory tracking." Journal of Physics: Conference Series 3026, no. 1 (2025): 012026. https://doi.org/10.1088/1742-6596/3026/1/012026.

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Abstract The trajectory tracking control of fixed-wing Unmanned Aerial Vehicles (UAVs) is inherently challenging due to their nonlinear, underactuated, and strongly coupled dynamics, as well as their vulnerability to external perturbations. This paper introduces an incremental nonlinear dynamic inversion (INDI) control method with fixed-time convergence for the design of both attitude and guidance law for UAVs. The proposed control method’s robustness and rapid response are validated through simulation experiments using a high-precision UAV model in Simulink. The method outperforms traditional
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13

Zhou, Yusheng, Shilin Liu, and Ning Wang. "Fixed-time Sliding Mode Control for Buck-Boost Converter." Journal of Physics: Conference Series 2310, no. 1 (2022): 012044. http://dx.doi.org/10.1088/1742-6596/2310/1/012044.

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Abstract To obtain stable state within the fixed time and reduce the influence of uncertain device parameters on the buck-boost converter, this paper proposes the fixed-time sliding mode control (FSMC) and fixed-time adaptive sliding mode control (FASMC). Firstly, we build the state-space average model on the basis of the continuous conduction mode (CCM) of the buck-boost converter. Secondly, the fixed-time sliding mode surface and FSMC are studied when the device parameters are known. By analyzing the Lyapunov stability, it has been proved that the system can reach a stable state within the f
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14

Wang, Xiao, Jie Guo, Shengjing Tang, and Shuai Qi. "Fixed-time disturbance observer based fixed-time back-stepping control for an air-breathing hypersonic vehicle." ISA Transactions 88 (May 2019): 233–45. http://dx.doi.org/10.1016/j.isatra.2018.12.013.

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15

Poveda, J. I., and M. Krstić. "Fixed-Time Newton-Like Extremum Seeking." IFAC-PapersOnLine 53, no. 2 (2020): 5356–61. http://dx.doi.org/10.1016/j.ifacol.2020.12.1227.

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16

Zhang, Peng, Yongzheng Cong, Di Wu, Guorong Zhang, and Qi Tan. "Design of fixed-time synchronization algorithm with applications." International Journal of Advanced Robotic Systems 16, no. 6 (2019): 172988141989131. http://dx.doi.org/10.1177/1729881419891311.

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Fixed-time synchronization problem for a class of leader–follower multi-agent systems with second-order nonlinearity is studied in this article. A new fixed-time synchronization control algorithm is developed by effectively combining homogeneous system theory, Lyapunov stability theory, and fixed-time/finite-time control technology. The leader–follower multi-agent system is considered to achieve fixed-time synchronization control. Finally, numerical simulations including coordination control multiple pendulum robot systems and electric power networks are carried out to verify the control perfo
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17

Liu, Mei, Binglong Lu, Zhanfeng Li, Haijun Jiang, and Cheng Hu. "Fixed-Time Synchronization Control of Delayed Dynamical Complex Networks." Entropy 23, no. 12 (2021): 1610. http://dx.doi.org/10.3390/e23121610.

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Fixed-time synchronization problem for delayed dynamical complex networks is explored in this paper. Compared with some correspondingly existed results, a few new results are obtained to guarantee fixed-time synchronization of delayed dynamical networks model. Moreover, by designing adaptive controller and discontinuous feedback controller, fixed-time synchronization can be realized through regulating the main control parameter. Additionally, a new theorem for fixed-time synchronization is used to reduce the conservatism of the existing work in terms of conditions and the estimate of synchroni
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18

Xu, Yuhua, Xiaoqun Wu, and Chao Xu. "Synchronization of Time-Varying Delayed Neural Networks by Fixed-Time Control." IEEE Access 6 (2018): 74240–46. http://dx.doi.org/10.1109/access.2018.2883417.

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19

Wei, Tengda, and Xiaodi Li. "Fixed-Time and Predefined-Time Stability of Impulsive Systems." IEEE/CAA Journal of Automatica Sinica 10, no. 4 (2023): 1086–89. http://dx.doi.org/10.1109/jas.2023.123147.

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20

Willems, J. L. "Stabilization of Decentralized Control Systems: Fixed Modes, Structurally Fixed Modes, Time-Varying Feedback." IFAC Proceedings Volumes 20, no. 9 (1987): 229–33. http://dx.doi.org/10.1016/s1474-6670(17)55711-0.

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21

Wang, Hongbin, Bo Su, Yueling Wang, and Jing Gao. "Adaptive Sliding Mode Fixed-Time Tracking Control Based on Fixed-Time Sliding Mode Disturbance Observer with Dead-Zone Input." Complexity 2019 (August 22, 2019): 1–14. http://dx.doi.org/10.1155/2019/8951382.

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Aiming at the problem of fixed-time trajectory tracking control for high-order dynamic systems with external time-varying disturbance and input dead-zone, an adaptive fixed-time sliding mode control algorithm is proposed by employing a fixed-time sliding mode disturbance observer (FTSMDO) and high-order fixed-time sliding mode algorithm. Firstly, a FTSMDO is presented for the problem that estimating the compound disturbance is composed of input dead-zone and time-varying external disturbance in the higher-order dynamic system, which cannot be measured accurately. Furthermore, for the case that
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22

Ma, Caoyuan, Chuangzhen Liu, Xuezi Zhang, Yongzheng Sun, Wenbei Wu, and Jin Xie. "Fixed-Time Stability of the Hydraulic Turbine Governing System." Mathematical Problems in Engineering 2018 (2018): 1–10. http://dx.doi.org/10.1155/2018/1352725.

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This paper studies the problem of fixed-time stability of hydraulic turbine governing system with the elastic water hammer nonlinear model. To control and improve the quality of hydraulic turbine governing system, a new fixed-time control strategy is proposed, which can stabilize the water turbine governing system within a fixed time. Compared with the finite-time control strategy where the convergence rate depends on the initial state, the settling time of the fixed-time control scheme can be adjusted to the required value regardless of the initial conditions. Finally, we numerically show tha
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23

Salma, H.Abu-Bakr, Abdel-Latif Hatem, El-Araby Khaled, and Shawky Mohamed. "Evaluation of Ramp Metering Control on Urban Expressway in Cairo." International Journal of Engineering Works (ISSN 2409-2770) 06, no. 01 (2019): 27–32. https://doi.org/10.5281/zenodo.2551884.

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Uncontrolled on-ramp merging section is considered as a bottleneck at several locations on urban expressways in Greater Cairo Region (GCR). This study aims to evaluate the impacts of applying ramp metering control on the traffic performance at three critical on-ramp sites on the 6th of October corridor using VISSIM. The simulation models were calibrated using the traffic data collected during peak period. Two different control strategies were tested; fixed-time ramp metering and actuated control for both mainline and on-ramp traffic, and compared to “no control” using average speed
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24

Huang, Miaojie, and Qiang Lu. "A Fixed-Time Hierarchical Formation Control Strategy for Multiquadrotors." Journal of Robotics 2021 (May 5, 2021): 1–14. http://dx.doi.org/10.1155/2021/9979713.

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This paper deals with the problem of multiquadrotor collaborative control by developing and analyzing a new type of fixed-time formation control algorithm. The control strategy proposes a hierarchical control framework, which consists of two layers: a coordinating control layer and a tracking control layer. On the coordinating control layer, according to the fixed-time consistency theory, the virtual position and virtual velocity of each quadrotor are calculated and acquired to form a virtual formation, and the virtual velocity reaches consistency. On the tracking control layer, the real posit
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25

Zhao, Jiaqi, Dongzhu Feng, Jiashan Cui, and Xin Wang. "Finite-Time Extended State Observer-Based Fixed-Time Attitude Control for Hypersonic Vehicles." Mathematics 10, no. 17 (2022): 3162. http://dx.doi.org/10.3390/math10173162.

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A finite-time extended, state-observer-based, fixed-time backstepping control algorithm was designed for hypersonic flight vehicles. To enhance the robustness of the controller, two novel finite-time extended state observers were introduced to compensate for the negative effects of lumped disturbances such as uncertainties and external disturbances. Two hyperbolic sine tracking differentiators were used to approximate the derivatives of the virtual control signals and guidance commands, thereby alleviating the computational burden associated with traditional backstepping control. Furthermore,
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26

Pan, Huihui, and Guangming Zhang. "Adaptive Fast Nonsingular Fixed-Time Tracking Control for Robot Manipulators." Complexity 2021 (May 8, 2021): 1–16. http://dx.doi.org/10.1155/2021/6629993.

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This paper studies the fixed-time trajectory tracking control problem of robot manipulators in the presence of uncertain dynamics and external disturbances. First, a novel nonsingular fixed-time sliding mode surface is presented, which can ensure that the convergence time of the suggested surface is bounded regardless of the initial states. Subsequently, a novel fast nonsingular fixed-time sliding mode control (NFNFSMC) is developed so that the closed-loop system is fixed-time convergent to the equilibrium. By applying the proposed NFNFSMC method and the adaptive technique, a novel adaptive no
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27

Chen, Wei, Mingmin Liu, and Qinglei Hu. "Attitude Tracking Control for Spacecraft With Fixed-Time Convergence." IFAC-PapersOnLine 53, no. 2 (2020): 14857–62. http://dx.doi.org/10.1016/j.ifacol.2020.12.1934.

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28

Cao, Lu, Bing Xiao, Mehdi Golestani, and Dechao Ran. "Faster Fixed-Time Control of Flexible Spacecraft Attitude Stabilization." IEEE Transactions on Industrial Informatics 16, no. 2 (2020): 1281–90. http://dx.doi.org/10.1109/tii.2019.2949588.

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29

Cheng, Zhongtao, Hao Wu, Bo Wang, Lei Liu, and Yongji Wang. "Fixed-Time Convergent Guidance Law with Impact Angle Control." Complexity 2020 (May 29, 2020): 1–9. http://dx.doi.org/10.1155/2020/5019689.

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The existing convergence control guidance laws are designed via the Lyapunov asymptotic stability theory or finite-time stability theory. However, guidance law based on the Lyapunov asymptotic stability theory would lead the states to zero only as time approaches infinity, which is imperfect theory. The convergence time for guidance laws based on finite-time stable theory is dependent on the initial states. A fixed-time convergent guidance law with impact angle control is proposed in this paper. The proposed guidance law consists of two parts. One is the heading error angle shaping term, and t
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30

Polyakov, Andrey. "Fixed-Time Stabilization via Second Order Sliding Mode Control." IFAC Proceedings Volumes 45, no. 9 (2012): 254–58. http://dx.doi.org/10.3182/20120606-3-nl-3011.00109.

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31

Zhang, Liyin, Youming Wang, Yinlong Hou, and Hong Li. "Fixed-Time Sliding Mode Control for Uncertain Robot Manipulators." IEEE Access 7 (2019): 149750–63. http://dx.doi.org/10.1109/access.2019.2946866.

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32

Zimenko, Konstantin, Andrey Polyakov, Denis Efimov, and Wilfrid Perruquetti. "On simple scheme of finite/fixed-time control design." International Journal of Control 93, no. 6 (2018): 1353–61. http://dx.doi.org/10.1080/00207179.2018.1506889.

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33

Li, Xiaolei, Changyun Wen, and Jiange Wang. "Lyapunov-based fixed-time stabilization control of quantum systems." Journal of Automation and Intelligence 1, no. 1 (2022): 100005. http://dx.doi.org/10.1016/j.jai.2022.100005.

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34

Guan, Zhiyuan, Hu Liu, Zewei Zheng, Mihai Lungu, and Yunpeng Ma. "Fixed-time control for automatic carrier landing with disturbance." Aerospace Science and Technology 108 (January 2021): 106403. http://dx.doi.org/10.1016/j.ast.2020.106403.

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35

Huang, Bing, Ai-jun Li, Yong Guo, and Chang-qing Wang. "Fixed-time attitude tracking control for spacecraft without unwinding." Acta Astronautica 151 (October 2018): 818–27. http://dx.doi.org/10.1016/j.actaastro.2018.04.041.

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36

Zhang, Bangchu, Shuitao Rao, Yu Kuang, Zhuo Bai, and Weiyu Zhu. "Fixed-time Disturbance Observer-Based Finite-Time Backstepping Control for Hypersonic Vehicle." Journal of Physics: Conference Series 2512, no. 1 (2023): 012014. http://dx.doi.org/10.1088/1742-6596/2512/1/012014.

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Abstract Due to the severe flight environment, hypersonic vehicles are susceptible to external disturbances and aerodynamic parameter uncertainties, dramatically challenging the precise control and stable tracking. This paper presented a fixed-time disturbance observer (FTDO) to obtain better tracking performance for hypersonic vehicles. The FTDO can improve the tracking performance under external disturbances and aerodynamic parameter perturbations, whose observation time is bounded and does not depend on the initial errors. The backstepping control can guarantee finite-time convergence with
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37

Liu, Mei, Huitao Zhao, Haijun Jiang, Cheng Hu, Zhiyong Yu, and Zhanfeng Li. "Fixed/Preassigned-Time Synchronization Control of Complex Networks With Time Varying Delay." IEEE Access 10 (2022): 16819–29. http://dx.doi.org/10.1109/access.2022.3149595.

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38

Mei, Yu, Jing Wang, Ju H. Park, Kaibo Shi, and Hao Shen. "Adaptive fixed-time control for nonlinear systems against time-varying actuator faults." Nonlinear Dynamics 107, no. 4 (2022): 3629–40. http://dx.doi.org/10.1007/s11071-021-07171-y.

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39

Liu, Xiwei, and Tianping Chen. "Finite-Time and Fixed-Time Cluster Synchronization With or Without Pinning Control." IEEE Transactions on Cybernetics 48, no. 1 (2018): 240–52. http://dx.doi.org/10.1109/tcyb.2016.2630703.

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40

Sun, Mengwei, Jian Liu, Lu Ren, and Changyin Sun. "Fixed-Time Consensus-Based Nash Equilibrium Seeking." IEEE/CAA Journal of Automatica Sinica 11, no. 1 (2024): 267–69. http://dx.doi.org/10.1109/jas.2023.123900.

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41

Li, Bo, Zeng-qiang Chen, Zhong-xin Liu, Chun-yan Zhang, and Qing Zhang. "Containment control of multi-agent systems with fixed time-delays in fixed directed networks." Neurocomputing 173 (January 2016): 2069–75. http://dx.doi.org/10.1016/j.neucom.2015.09.056.

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42

Lu, Jianhua, Zehao Yuan, and Ning Wang. "Preassigned Fixed-Time Synergistic Constrained Control for Fixed-Wing Multi-UAVs with Actuator Faults." Drones 9, no. 4 (2025): 268. https://doi.org/10.3390/drones9040268.

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This study focuses on the distributed fixed-time fault-tolerant control problem for a network of six-degree-of-freedom (DOF) fixed-wing unmanned aerial vehicles (UAVs), which are subject to full-state constraints and actuator faults. The novelty of the proposed design lies in the incorporation of an enhanced asymmetric time-varying tan-type barrier Lyapunov function (BLF), which is applicable in both constrained and unconstrained scenarios. This function ensures that the UAV states remain within compact sets at all times while achieving fixed-time convergence. Additionally, a fixed-time perfor
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43

"FIXED TIME PERIOD MODELLING FOR INVENTORY CONTROL SYSTEM IN REGIONAL WAREHOUSING." Jurnal Teknologi Industri Pertanian, April 2020, 82–89. http://dx.doi.org/10.24961/j.tek.ind.pert.2020.30.1.82.

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44

Cui, Lei, Qi Zhou, Di Huang, and Hongjiu Yang. "Fixed‐time disturbance observer‐based fixed‐time path following control for small fixed‐wing UAVs under wind disturbances." International Journal of Adaptive Control and Signal Processing, October 17, 2023. http://dx.doi.org/10.1002/acs.3688.

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SummaryIn this paper, the three‐dimensional path following control problem for small‐scale fixed‐wing unmanned aerial vehicles (UAVs) subject to external wind disturbances is investigated. A fixed‐time disturbance observer is designed to estimate the external wind disturbance. The estimates are then incorporated into the fixed‐time integral terminal sliding mode controller such that a composite control scheme is proposed. Under the proposed control scheme, the UAV system not only guarantees a fixed‐time convergence rate but also possesses stronger disturbance rejection ability and better robus
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45

An, Shun, Longjin Wang, and Yan He. "Robust fixed-time tracking control for underactuated AUVs based on fixed-time disturbance observer." Ocean Engineering, October 2022, 112567. http://dx.doi.org/10.1016/j.oceaneng.2022.112567.

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46

Zhang, Wanli, Xinsong Yang, Shiju Yang, Chuangxia Huang, and Fuad E. Alsaadi. "Fixed-time control of competitive complex networks." Neural Computing and Applications, January 3, 2021. http://dx.doi.org/10.1007/s00521-020-05539-6.

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47

Niroomand, Mahdi, Reihaneh Kardehi Moghaddam, Hamidreza Modares, and Mohammad-Bagher Naghibi Sistani. "Fixed-time reinforcement learning and optimal control design." Journal of Vibration and Control, December 14, 2024. https://doi.org/10.1177/10775463241307703.

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This paper presents a fixed-time optimal control design approach using reinforcement learning (RL) that guarantees not only fixed-time convergence of the learning algorithm to an optimal controller but also fixed-time stability of the learned control solution. To ensure the former, zero-finding capabilities of the zeroing neural networks (ZNNs) are leveraged, and novel adaptive laws are presented accordingly. To ensure the latter, conditions on the cost function are provided for which its corresponding optimal controller assures the fixed-time stability of the closed-loop system. It is also sh
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48

Michalak, Anna, and Andrzej Nowakowski. "Fixed-time stability of ODE and fixed-time stability of neural network." International Journal of Control, May 18, 2020, 1–7. http://dx.doi.org/10.1080/00207179.2020.1763469.

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49

Wang, Xin, Jinde Cao, Jiangtao Wang, Jinshan Qi, and Qingying Sun. "A Novel Fast Fixed-Time Control Strategy and Its Application to Fixed-Time Synchronization Control of Delayed Neural Networks." Neural Processing Letters, August 21, 2021. http://dx.doi.org/10.1007/s11063-021-10624-5.

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50

Zhang, Lijun, Yuanqing Xia, Ganghui Shen, and Bing Cui. "Fixed-time attitude tracking control for spacecraft based on a fixed-time extended state observer." Science China Information Sciences 64, no. 11 (2021). http://dx.doi.org/10.1007/s11432-019-2823-9.

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