山东大学学报 (工学版) ›› 2024, Vol. 54 ›› Issue (5): 81-92.doi: 10.6040/j.issn.1672-3961.0.2023.068
• 机器学习与数据挖掘 • 上一篇
丁磊,李小华*,刘辉
DING Lei, LI Xiaohua*, LIU Hui
摘要: 针对具有执行器故障和未知初始跟踪条件的非仿射纯反馈系统,研究其预设性能有限时间容错控制问题。采用中值定理处理非仿射系统,考虑控制方向未知,用Nussbaum增益函数解决控制器设计问题。借助一种与系统初始条件无关的预设性能控制设计方法,在跟踪误差的初始状态未知时依然可设计预设性能控制器。采用传统的有限时间理论及容错控制理论,提出一个预设性能有限时间容错控制设计策略。该策略能够保证系统在未知初始跟踪条件和执行器故障情况下的暂态和稳态性能,以及系统中所有信号的有界性。仿真结果验证了所提策略的可行性。
中图分类号:
[1] 周卫东, 廖成毅, 郑兰, 等. 具有未知死区的SISO非仿射非线性系统间接自适应模糊控制[J]. 哈尔滨工业大学学报, 2014, 46(10): 110-116. ZHOU Weidong, LIAO Chengyi, ZHENG Lan, et al. Indirect adaptive fuzzy control for SISO nonaffine nonlinear system with unknown dead-zone input[J]. Journal of Harbin Institute of Technology, 2014, 46(10): 110-116. [2] ZHOU Q, WANG L, WU C, et al. Adaptive fuzzy tracking control for a class of pure-feedback nonlinear systems with time-varying delay and unknown dead zone[J]. Fuzzy Sets and Systems, 2017, 329: 36-60. [3] 全权,陈炼.非仿射非线性系统控制综述[J]. 北京航空航天大学学报, 2024, 50(8): 2367-2381. QUAN Quan, CHEN Lian. Control of non-affine nonlinear systems: a survey[J]. Journal of Beijing University of Aeronautics and Astronautics, 2024, 50(8): 2367-2381. [4] YANG Y, YUE D. Distributed adaptive fault-tolerant control of pure-feedback nonlinear multi-agent systems with actuator failures[J]. Neurocomputing, 2017, 221: 72-84. [5] MA L, WANG Z, WANG C. Adaptive neural network state constrained fault-tolerant control for a class of pure-feedback systems with actuator faults[J]. Neurocomputing, 2022, 490: 431-440. [6] ZUO G, WANG Y, LU Z. Adaptive finite-time control for pure-feedback systems under time-varying state constraints and actuator failures[C] //Proceedings of 2020 Chinese Automation Congress(CAC). Shanghai, China: IEEE, 2020: 6999-7004. [7] LIU X, ZHAI D, LI T, et al. Fuzzy-approximation adaptive fault-tolerant control for nonlinear pure- feedback systems with unknown control directions and sensor failures[J]. Fuzzy Sets and Systems, 2019, 356: 28-43. [8] 何诚, 吴剑, 张哲. 具有输入饱和的纯反馈系统有限时间跟踪控制[J]. 电光与控制, 2021, 28(8): 11-16. HE Cheng, WU Jian, ZHANG Zhe. Finite-time tracking control of pure-feedback systems with input saturation[J]. Electronics Optics & Control, 2021, 28(8): 11-16. [9] LIU Y, ZHU Q. Adaptive neural network finite-time tracking control of full state constrained pure feedback stochastic nonlinear systems[J]. Journal of the Franklin Institute, 2020, 357(11): 6738-6759. [10] LIU J, NIU B, ZHAO P, et al. Almost fast finite-time adaptive tracking control for a class of full-state constrained pure-feedback nonlinear systems[J]. International Journal of Robust and Nonlinear Control, 2020, 30(17): 7517-7532. [11] CHEN L, YANG H. Adaptive neural prescribed performance output feedback control of pure feedback nonlinear systems using disturbance observer[J]. International Journal of Adaptive Control and Signal Processing, 2020, 34(4): 520-542. [12] CHEN G, ZHAO Y. Distributed adaptive output-feedback tracking control of non-affine multi-agent systems with prescribed performance[J]. Journal of the Franklin Institute, 2018, 35(13): 6087-6110. [13] 胡剑波, 王应洋, 刘炳琪, 等. 非仿射纯反馈系统自适应神经网络快速预设性能控制[J]. 控制理论与应用, 2020, 37(10): 2218-2230. HU Jianbo, WANG Yingyang, LIU Bingqi. Adaptive neural fast prescribed performance control for non-affine pure-feedback systems[J]. Control Theory & Applications, 2020, 37(10): 2218-2230. [14] 陈明, 李小华. 基于预设性能的非仿射非线性系统自适应有限时间控制[J]. 控制与决策, 2020, 35(5): 1259-1264. CHEN Ming, LI Xiaohua. Adaptive finite-time tracking control for nonaffine nonlinear systems based on prescribed performance[J]. Control and Decision, 2020, 35(5): 1259-1264. [15] LIU H, LI X, LIU X. A bounded-mapping-based prescribed constraint tracking control method without initial condition[J]. Nonlinear Dynamics, 2023, 111(4): 3451-3468. [16] RAMEZANI Z, AREFI M, ZARGARZADEH H, et al. Neuro observer-based control of pure feedback MIMO systems with unknown control direction[J]. IET Control Theory & Applications, 2017, 11(2): 213-224. [17] XU Q Y, LI X D. HONN-based adaptive ILC for pure-feedback nonaffine discrete-time systems with unknown control directions[J]. IEEE Transactions on Neural Networks and Learning Systems, 2019, 31(1): 212-224. [18] 张思洁, 吴怀宇, 郑秀娟. 具有执行器故障的四旋翼无人机有限时间容错控制[J]. 控制理论与应用, 2023, 40(7): 1270-1276. ZHANG Sijie, WU Huaiyu, ZHENG Xiujuan. Finite-time fault tolerant control of quadrotor UAV with actuator faults[J]. Control Theory & Applications, 2023, 40(7): 1270-1276. [19] ZHANG T P, SHI X C, ZHU Q, et al. Adaptive neural tracking control of pure-feedback nonlinear systems with unknown gain signs and unmodeled dynamics[J]. Neurocomputing, 2013, 121: 290-297. [20] LIU Y, LIU X, JING Y. Adaptive neural networks finite-time tracking control for non-strict feedback systems via prescribed performance[J]. Information Sciences, 2018, 468: 29-46. [21] HUANG J, WEN C, WANG W, et al. Design of adaptive finite-time controllers for nonlinear uncertain systems based on given transient specifications[J]. Automatica, 2016, 69: 395-404. [22] WANG H, CHEN B, LIU C, et al. Adaptive finite-time control for a class of uncertain high-order non-linear systems based on fuzzy approximation[J]. IET Control Theory & Applications, 2017, 11(5): 677-684. [23] LIANG B, ZHENG S, AHN C K, et al. Adaptive fuzzy control for fractional-order interconnected systems with unknown control directions[J]. IEEE Transactions on Fuzzy Systems, 2020, 30(1): 75-87. [24] CHANG Y, ZHOU P, NIU B, et al. Switched-observer-based adaptive output-feedback control design with unknown gain for pure-feedback switched nonlinear systems via average dwell time[J]. International Journal of Systems Science, 2021, 52(9): 1731-1745. [25] CHENG C, DI Y, XU J, et al. Advanced backstepping control based on ADR for non-affine non-strict feedback nonlinear systems[J]. Automatika, 2018, 59(2): 220-230. [26] ZHANG J X, YANG G H. Prescribed performance fault-tolerant control of uncertain nonlinear systems with unknown control directions[J]. IEEE Transactions on Automatic Control, 2017, 62(12): 6529-6535. |
[1] | 李洪阳,何潇. 基于SCKF方法的非线性随机动态系统故障诊断方法[J]. 山东大学学报(工学版), 2017, 47(5): 130-135. |
|