1,476
Views
61
CrossRef citations to date
0
Altmetric
Original Articles

Adaptive uniform finite-/fixed-time convergent second-order sliding-mode control

, &
Pages 1777-1787 | Received 05 Jun 2015, Accepted 27 Apr 2016, Published online: 05 Aug 2016

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (2)

Chih-Chiang Cheng & Jia-Hong Yan. (2023) Design of fixed-time adaptive super twisting controllers for perturbed nonlinear systems. International Journal of Control 96:10, pages 2490-2502.
Read now
Zehui Mao, Gang Tao, Bin Jiang & Xing-Gang Yan. (2021) Zero dynamics analysis and adaptive tracking control of underactuated multibody systems with flexible links. International Journal of Control 94:7, pages 1931-1943.
Read now

Articles from other publishers (59)

Qi Chen, Lin Wang, Yong Sun, Shuzong Xie & Ruiliang Wang. (2024) Adaptive integral sliding mode MPPT control for wind turbines with fixed‐time convergence. IET Renewable Power Generation.
Crossref
Pooyan Alinaghi Hosseinabadi, Ali Soltani Sharif Abadi, Howard Schwartz, Hemanshu Pota & Saad Mekhilef. (2023) Fixed‐time sliding mode observer‐based controller for a class of uncertain nonlinear double integrator systems. Asian Journal of Control 25:5, pages 3456-3473.
Crossref
Dakai Liu, Sven Esche, Wenxing Fu & Mingang Wang. (2023) A Modified Adaptive Dual Layer Generalized Super-Twisting Controller and Disturbance Observer. A Modified Adaptive Dual Layer Generalized Super-Twisting Controller and Disturbance Observer.
Zhicheng Song, Ziyu Liao, Linkang Wang, Hongtao Wu & Jie Ling. (2023) A Novel Fractional-Order Adaptive Gain Fixed-Time Convergent Super-Twisting-Algorithm. A Novel Fractional-Order Adaptive Gain Fixed-Time Convergent Super-Twisting-Algorithm.
Dakai Liu & Sven Esche. (2023) Revised barrier function-based adaptive finite- and fixed-time convergence super-twisting control. Journal of Systems Engineering and Electronics 34:3, pages 775-782.
Crossref
Saleh Mobayen, Farhad Bayat, Sami ud Din & Mai The Vu. (2023) Barrier function-based adaptive nonsingular terminal sliding mode control technique for a class of disturbed nonlinear systems. ISA Transactions 134, pages 481-496.
Crossref
Jiangbo Yu, Alexandru Stancu, Zhengtao Ding & Yuqiang Wu. (2022) Adaptive finite/fixed‐time stabilizing control for nonlinear systems with parametric uncertainty. International Journal of Robust and Nonlinear Control 33:3, pages 1513-1530.
Crossref
Yan Zhao, Jianli Yao, Jie Tian & Jiangbo Yu. (2023) Adaptive fixed-time stabilization for a class of nonlinear uncertain systems. Mathematical Biosciences and Engineering 20:5, pages 8241-8260.
Crossref
Yuri Shtessel, Franck Plestan & Christopher Edwards. (2023) Adaptive sliding mode and second order sliding mode control with applications: a survey. IFAC-PapersOnLine 56:2, pages 761-772.
Crossref
Yuri Shtessel, Franck Plestan, Christopher Edwards & Arie Levant. 2023. Sliding-Mode Control and Variable-Structure Systems. Sliding-Mode Control and Variable-Structure Systems 267 305 .
Yang Liu, Hongyi Li, Renquan Lu, Zongyu Zuo & Xiaodi Li. (2022) An Overview of Finite/Fixed-Time Control and Its Application in Engineering Systems. IEEE/CAA Journal of Automatica Sinica 9:12, pages 2106-2120.
Crossref
Yuliang Cai, Huaguang Zhang, Yingchun Wang, Zhiyun Gao & Qiang He. (2022) Adaptive Bipartite Fixed-Time Time-Varying Output Formation-Containment Tracking of Heterogeneous Linear Multiagent Systems. IEEE Transactions on Neural Networks and Learning Systems 33:9, pages 4688-4698.
Crossref
Rong Cheng, Lizhen Li, Haoyun Li, Songsong Cheng, Xiaohan Fang & Yuan Fan. (2022) Fixed-Time Fault-Tolerant Sliding Mode Control for Robot Manipulator. Fixed-Time Fault-Tolerant Sliding Mode Control for Robot Manipulator.
Konstantin Zimenko, Denis Efimov & Andrey Polyakov. (2022) Adaptive finite‐time and fixed‐time control design using output stability conditions. International Journal of Robust and Nonlinear Control 32:11, pages 6361-6378.
Crossref
Jonathan Rodriguez, Herman Castañeda & J. L. Gordillo. (2021) Prescribed and controlled finite-time convergence based on a disturbance observer for an adaptive sliding mode controller. International Journal of Control 95:7, pages 1707-1718.
Crossref
Chengcheng Ren, Ju H. Park & Shuping He. (2022) Positiveness and Finite-Time Control of Dual-Switching Poisson Jump Networked Control Systems With Time-Varying Delays and Packet Drops. IEEE Transactions on Control of Network Systems 9:2, pages 575-587.
Crossref
Lei Cui, Xiuying Hou, Zhiqiang Zuo & Hongjiu Yang. (2022) An adaptive fast super-twisting disturbance observer-based dual closed-loop attitude control with fixed-time convergence for UAV. Journal of the Franklin Institute 359:6, pages 2514-2540.
Crossref
Liyin Zhang, Hui Liu, Dafeng Tang, Yinlong Hou & Youming Wang. (2022) Adaptive Fixed-Time Fault-Tolerant Tracking Control and Its Application for Robot Manipulators. IEEE Transactions on Industrial Electronics 69:3, pages 2956-2966.
Crossref
Hongxu Zhang, Jun Hu, Guo-Ping Liu & Xiaoyang Yu. (2022) Event-triggered secure control of discrete systems under cyber-attacks using an observer-based sliding mode strategy. Information Sciences 587, pages 587-606.
Crossref
Cuauhtémoc Acosta Lúa, Stefano Di Gennaro & Jean–Pierre Barbot. (2022) Nonlinear control of an antilock braking system in the presence of tire–road friction uncertainties. Journal of the Franklin Institute.
Crossref
Ye Cao, Jianfu Cao & Yongduan Song. (2022) Practical prescribed time tracking control over infinite time interval involving mismatched uncertainties and non-vanishing disturbances. Automatica 136, pages 110050.
Crossref
Mohammad Javad Mirzaei, Ehsan Aslmostafa, Mostafa Asadollahi & Mohammad Ali Badamchizadeh. (2022) Finite-time synchronization control for a class of perturbed nonlinear systems with fixed convergence time and hysteresis quantizer: applied to Genesio–Tesi chaotic system. Nonlinear Dynamics 107:3, pages 2327-2343.
Crossref
Dakai Liu, Sven Esche & Mingang Wang. (2021) An adaptive super-twisting algorithm based on conditioning technique. Transactions of the Institute of Measurement and Control 44:2, pages 497-505.
Crossref
Meng Zhao, Zhiru Cao & Yugang Niu. (2022) Non-fragile finite-time sliding mode control for Markovian jump systems with randomly occurring uncertainties and controller gain variations. Journal of the Franklin Institute 359:2, pages 1257-1273.
Crossref
Lei Wang, Keqi Mei & Shihong Ding. (2021) Fixed-time SOSM controller design subject to an asymmetric output constraint. Journal of the Franklin Institute 358:15, pages 7485-7506.
Crossref
Jun Song & Yugang Niu. (2021) Co-Design of 2-D Event Generator and Sliding Mode Controller for 2-D Roesser Model via Genetic Algorithm. IEEE Transactions on Cybernetics 51:9, pages 4581-4590.
Crossref
Jinhui Zhang, Duanduan Chen, Ganghui Shen, Zhongqi Sun & Yuanqing Xia. (2021) Disturbance observer based adaptive fuzzy sliding mode control: A dynamic sliding surface approach. Automatica 129, pages 109606.
Crossref
Yunxi Zhang & Haibin Sun. (2021) Disturbance observer based on NTSM output tracking control for second-order systems with power integrators and input quantization. Disturbance observer based on NTSM output tracking control for second-order systems with power integrators and input quantization.
Yuliang Cai, Huaguang Zhang, Juan Zhang, Shaoxin Sun & Qiang He. (2021) Distributed fault-tolerant output regulation for heterogeneous linear multi-agent systems under actuator faults. Journal of the Franklin Institute 358:7, pages 3303-3331.
Crossref
Salah Laghrouche, Mohamed Harmouche, Yacine Chitour, Hussein Obeid & Leonid M. Fridman. (2021) Barrier function-based adaptive higher order sliding mode controllers. Automatica 123, pages 109355.
Crossref
Jyoti Mishra & Xinghuo Yu. 2021. Emerging Trends in Sliding Mode Control. Emerging Trends in Sliding Mode Control 203 237 .
Ye Cao & Yongduan Song. (2020) Practical prescribed time tracking control with user pre-determinable precision for uncertain nonlinear systems. Practical prescribed time tracking control with user pre-determinable precision for uncertain nonlinear systems.
Michael V. Basin, Fernando Guerra-Avellaneda & Yuri B. Shtessel. (2020) Stock Management Problem: Adaptive Fixed-Time Convergent Continuous Controller Design. IEEE Transactions on Systems, Man, and Cybernetics: Systems 50:12, pages 4974-4983.
Crossref
Jiawen Cui & Haibin Sun. (2020) Fixed-Time Trajectory Tracking Control of Autonomous Surface Vehicle with Model Uncertainties and Disturbances. Complexity 2020, pages 1-10.
Crossref
Ping Li, Zhibao Song, Zhen Wang & Wenhui Liu. (2020) Fixed-time consensus for disturbed multiple Euler-Lagrange systems with connectivity preservation and quantized input. Applied Mathematics and Computation 380, pages 125303.
Crossref
Ye Cao, Changyun Wen, Shilei Tan & Yongduan Song. (2019) Prespecifiable fixed‐time control for a class of uncertain nonlinear systems in strict‐feedback form. International Journal of Robust and Nonlinear Control 30:3, pages 1203-1222.
Crossref
Yunjie Wu, Fei Ma, Xiaocen Liu, Yueyang Hua, Xiaodong Liu & Guofei Li. (2020) Super Twisting Disturbance Observer-Based Fixed-Time Sliding Mode Backstepping Control for Air-Breathing Hypersonic Vehicle. IEEE Access 8, pages 17567-17583.
Crossref
Haijuan Zhao, Yugang Niu & Jiancong Zhao. (2019) Event-triggered sliding mode control of uncertain switched systems under denial-of-service attacks. Journal of the Franklin Institute 356:18, pages 11414-11433.
Crossref
Jinlong Zhao & Jun Zhou. (2019) Fixed-Time Second Order Sliding Mode Guidance Law for Interceptors with Impact Angle Constraints. Fixed-Time Second Order Sliding Mode Guidance Law for Interceptors with Impact Angle Constraints.
Jingqi Zhang, Shuanghe Yu & Yan Yan. (2019) Fixed-time output feedback trajectory tracking control of marine surface vessels subject to unknown external disturbances and uncertainties. ISA Transactions 93, pages 145-155.
Crossref
Ti Chen & Jinjun Shan. (2019) Fixed-Time Consensus Control of Multiagent Systems Using Input Shaping. IEEE Transactions on Industrial Electronics 66:9, pages 7433-7441.
Crossref
Jinlong Zhao, Zongyi Guo, Jianguo Guo & Jun Zhou. (2019) Fixed-Time Second Order Sliding Mode Control for Nonlinear Systems With High Dynamic Performance * . Fixed-Time Second Order Sliding Mode Control for Nonlinear Systems With High Dynamic Performance * .
C. Edwards & Y. Shtessel. (2019) Enhanced continuous higher order sliding mode control with adaptation. Journal of the Franklin Institute 356:9, pages 4773-4784.
Crossref
Xiao Wang, Jie Guo, Shengjing Tang & Shuai Qi. (2019) Fixed-time disturbance observer based fixed-time back-stepping control for an air-breathing hypersonic vehicle. ISA Transactions 88, pages 233-245.
Crossref
Liang ZHANG, Changzhu WEI, Rong WU & Naigang CUI. (2019) Fixed-time adaptive model reference sliding mode control for an air-to-ground missile. Chinese Journal of Aeronautics 32:5, pages 1268-1280.
Crossref
Haibin Sun, Linlin Hou, Guangdeng Zong & Xinghuo Yu. (2019) Fixed-Time Attitude Tracking Control for Spacecraft With Input Quantization. IEEE Transactions on Aerospace and Electronic Systems 55:1, pages 124-134.
Crossref
Marco Meza‐Aguilar, Alexander G. Loukianov & Jorge Rivera. (2018) Sliding mode adaptive control for a class of nonlinear time‐varying systems. International Journal of Robust and Nonlinear Control 29:3, pages 766-778.
Crossref
Michael Basin. (2019) Finite- and fixed-time convergent algorithms: Design and convergence time estimation. Annual Reviews in Control 48, pages 209-221.
Crossref
Michael Basin & Fernando Guerra Avellaneda. (2018) Continuous Fixed‐Time Controller Design for Dynamic Systems with Unmeasurable States Subject to Unbounded Disturbances. Asian Journal of Control 21:1, pages 194-207.
Crossref
Jyoti P. Mishra, Xinghuo Yu & Mahdi Jalili. (2018) Arbitrary-Order Continuous Finite-Time Sliding Mode Controller for Fixed-Time Convergence. IEEE Transactions on Circuits and Systems II: Express Briefs 65:12, pages 1988-1992.
Crossref
Jyoti Mishra, Ragini Patel, Xinghuo Yu & Mahdi Jalili. (2018) Recursive surface structure for fixed‐time convergence with applications to power systems. IET Control Theory & Applications 12:18, pages 2595-2604.
Crossref
Zongyu Zuo, Qing-Long Han, Boda Ning, Xiaohua Ge & Xian-Ming Zhang. (2018) An Overview of Recent Advances in Fixed-Time Cooperative Control of Multiagent Systems. IEEE Transactions on Industrial Informatics 14:6, pages 2322-2334.
Crossref
Xiang Yu, Peng Li & Youmin Zhang. (2018) The Design of Fixed-Time Observer and Finite-Time Fault-Tolerant Control for Hypersonic Gliding Vehicles. IEEE Transactions on Industrial Electronics 65:5, pages 4135-4144.
Crossref
Siyi Wang, Yabing Gao, Jianxing Liu & Ligang Wu. (2018) Saturated sliding mode control with limited magnitude and rate. IET Control Theory & Applications 12:8, pages 1075-1085.
Crossref
Bailing Tian, Hanchen Lu, Zongyu Zuo & Qun Zong. (2018) Multivariable uniform finite-time output feedback reentry attitude control for RLV with mismatched disturbance. Journal of the Franklin Institute 355:8, pages 3470-3487.
Crossref
Feng Yang, Chang-Zhu Wei, Rong Wu & Nai-Gang Cui. (2018) Non-Recursive Fixed-Time Convergence Observer and Extended State Observer. IEEE Access 6, pages 62339-62351.
Crossref
Michael Basin & Fernando Guerra-Avellaneda. (2018) Continuous Fixed-Time Controller Design for Dynamic Systems with Unmeasurable States. IFAC-PapersOnLine 51:13, pages 597-602.
Crossref
J.P. Mishra, Chaoji Li, Xinghuo Yu & Mahdi Jalili. (2017) Fixed-time Converging Terminal Surface with Non-singular Control Design for Second-order Systems. IFAC-PapersOnLine 50:1, pages 5139-5143.
Crossref
Xuan-Toa Tran & Hee-Jun Kang. (2017) Fixed-Time Complex Modified Function Projective Lag Synchronization of Chaotic (Hyperchaotic) Complex Systems. Complexity 2017, pages 1-9.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.