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基于新型扰动观测器的动态面固定时间控制器设计

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针对一类具有未知上界的非匹配扰动的非线性严格反馈系统,本文提出一种基于新型扰动观测器的动态面固定时间控制策略。首先,设计新型扰动观测器估计非匹配扰动;其次,通过设计不含分数次幂项的反步固定时间控制器,避免分数次幂项多次求导引起奇异问题;结合新型固定时间滤波器,消除反步控制"微分爆炸"现象。李雅普诺夫稳定性分析表明,该方案能够保证系统满足实际固定时间稳定。仿真结果验证了所提控制方案的有效性。
Design of dynamic surface fixed time controller based on new disturbance observer
In view of the mismatched disturbance of a kind of nonlinear strict feedback system,a dynamic surface fixed time control strategy based on the new disturbance observer is proposed.Firstly,a new disturbance observer is designed to estimate the mismatched disturbances.Secondly,the fixed-time controller without fractional power term is designed by using backstepping method to avoid singular value problem.Then,combined with the new fixed-time filter,the phenomenon of"differential explosion"is eliminated.The analysis of Lyapunov's function stability theory shows that the proposed scheme can ensure that the tracking error converges to the small neighborhood of the origin in a fixed time,and the simulation results verify the effectiveness of the proposed control scheme.

disturbance observerdynamic surface controlfixed-time stablebackstepping control

吴中华、郑帅鹏、张建军

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河南理工大学电气工程与自动化学院,河南焦作 454003

扰动观测器 动态面控制 固定时间稳定 反步控制

2024

控制理论与应用
华南理工大学 中国科学院数学与系统科学研究院

控制理论与应用

CSTPCD北大核心
影响因子:1.076
ISSN:1000-8152
年,卷(期):2024.41(11)