随机非线性系统的有限时间命令滤波输出反馈跟踪控制  

Finite-Time Command Filtering Output FeedbackTracking Control of Stochastic Nonlinear Systems

作　　者：赵军圣[1] 赵雪静 孙宗耀[2] ZHAO Junsheng;ZHAO Xuejing;SUN Zongyao(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China;Institute of Automation,Qufu Normal University,Qufu 273165,China)

机构地区：[1]聊城大学数学科学学院,山东聊城252059 [2]曲阜师范大学自动化研究所,山东曲阜273165

出　　处：《聊城大学学报（自然科学版）》2023年第6期9-17,共9页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金项目(62173208);山东省泰山学者项目(tsqn202103061)资助。

摘　　要：研究了一类随机非线性系统的输出反馈跟踪控制问题。首先,引入带有补偿机制的有限时间命令滤波技术,以解决传统反步法带来的复杂度爆炸问题。然后,借助于自适应控制策略来补偿不确定参数。在该控制策略下,输出信号能够在有限时间内跟踪给定的目标信号。利用随机有限时间稳定性理论,将有限时间命令滤波技术与模糊逻辑系统相结合,确保输出跟踪误差系统能够在有限时间内实现稳定。最后通过仿真验证设计控制器的有效性。This paper studies the issue of output feedback tracking control for stochastic nonlinear systems.Firstly,a finite-time command filter with a compensation mechanism is introduced to solve the problem of complexity explosion caused by the back-stepping method.Then,unknown parameters are compensated by using adaptive control strategy.Under the control strategy,the output signal is assured to track the given reference signal in finite time.With the help of stochastic finite-time stability theory,the finite-time command filtering technique is combined with the fuzzy logic system to make the output tracking error system practically stable in finite time.Finally,a simulation result is provided to illustrate the efficiency of the designed controller.

关 键 词：有限时间控制 随机非线性系统 自适应模糊控制 命令滤波 

分 类 号：O231[理学—运筹学与控制论]