Nai Yongqiang, Yang Qingyu, Wu Zongze
IEEE Trans Neural Netw Learn Syst. 2021 Nov;32(11):4931-4945. doi: 10.1109/TNNLS.2020.3026208. Epub 2021 Oct 27.
Due to the existing effects of intermittent jumps of unknown parameters during operation, effectively establishing transient and steady-state tracking performances in control systems with unknown intermittent actuator faults is very important. In this article, two prescribed performance adaptive neural control schemes based on command-filtered backstepping are developed for a class of uncertain strict-feedback nonlinear systems. Under the condition of system states being available for feedback, the state feedback control scheme is investigated. When the system states are not directly measured, a cascade high-gain observer is designed to reconstruct the system states, and in turn, the output feedback control scheme is presented. Since the projection operator and modified Lyapunov function are, respectively, used in the adaptive law design and stability analysis, it is proven that both schemes can not only ensure the boundedness of all closed-loop signals but also confine the tracking errors within prescribed arbitrarily small residual sets for all the time even if there exist the effects of intermittent jumps of unknown parameters. Thus, the prescribed system transient and steady-state performances in the sense of the tracking errors are established. Furthermore, we also prove that the tracking performance under output feedback is able to recover the tracking performance under state feedback as the observer gain decreases. Simulation studies are done to verify the effectiveness of the theoretical discussions.
由于运行过程中存在未知参数的间歇性跳变影响,在具有未知间歇性执行器故障的控制系统中有效建立暂态和稳态跟踪性能非常重要。本文针对一类不确定严格反馈非线性系统,基于指令滤波反步法提出了两种规定性能自适应神经控制方案。在系统状态可用于反馈的条件下,研究了状态反馈控制方案。当系统状态不可直接测量时,设计了一种级联高增益观测器来重构系统状态,进而提出了输出反馈控制方案。由于在自适应律设计和稳定性分析中分别使用了投影算子和修正的李雅普诺夫函数,证明了两种方案不仅能保证所有闭环信号的有界性,而且即使存在未知参数的间歇性跳变影响,也能始终将跟踪误差限制在规定的任意小残差集内。因此,在跟踪误差意义上建立了规定的系统暂态和稳态性能。此外,我们还证明了随着观测器增益减小,输出反馈下的跟踪性能能够恢复到状态反馈下的跟踪性能。通过仿真研究验证了理论分析的有效性。