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具有执行器故障的不确定多输入多输出非线性系统的事件触发自适应渐近跟踪控制

Event-Triggered Adaptive Asymptotic Tracking Control of Uncertain MIMO Nonlinear Systems With Actuator Faults.

作者信息

Pan Huihui, Zhang Dun, Sun Weichao, Yu Xinghu

出版信息

IEEE Trans Cybern. 2022 Sep;52(9):8655-8667. doi: 10.1109/TCYB.2021.3061888. Epub 2022 Aug 18.

DOI:10.1109/TCYB.2021.3061888
PMID:33729979
Abstract

In this article, an adaptive event-triggered fault-tolerant asymptotic tracking control problem guaranteeing prescribed performance is addressed for a class of block-triangular multi-input and multioutput uncertain nonlinear systems with unknown nonlinearities, unknown control directions, and actuator faults. Through a systematic co-design of the adaptive control law and the event-triggered mechanism, including fixed and relative threshold strategies, a control scheme with low structure and calculation complexity is designed to conserve system communication and computation resources. In this design, the output asymptotic tracking is achieved. The Nussbaum gain technique is incorporated to overcome unknown control directions with a new adaptive law, and a type of barrier Lyapunov function is adopted to handle the prescribed performance control problem, which contributes to a novel control law with strong robustness. The robust controller can address the uncertainties and couplings derived from the system structure, actuator faults, and event-triggered rules, without using approximating structures or compensators. Besides, the explosion of complexity is avoided. It is proved that all signals of the closed-loop system remain bounded, and system tracking errors asymptotically approach 0 with the prescribed performance, while the Zeno behavior is prevented. Finally, the effectiveness of the proposed control scheme is evaluated via an application example of the half-car active suspension system.

摘要

本文针对一类具有未知非线性、未知控制方向和执行器故障的块三角多输入多输出不确定非线性系统,研究了一种保证规定性能的自适应事件触发容错渐近跟踪控制问题。通过对自适应控制律和事件触发机制进行系统协同设计,包括固定阈值策略和相对阈值策略,设计了一种结构和计算复杂度较低的控制方案,以节省系统通信和计算资源。在该设计中,实现了输出渐近跟踪。引入了Nussbaum增益技术,采用新的自适应律克服未知控制方向,并采用一种障碍Lyapunov函数来处理规定性能控制问题,从而得到一种具有强鲁棒性的新型控制律。该鲁棒控制器能够解决由系统结构、执行器故障和事件触发规则引起的不确定性和耦合问题,无需使用近似结构或补偿器。此外,还避免了复杂性爆炸问题。证明了闭环系统的所有信号均保持有界,系统跟踪误差在规定性能下渐近趋近于0,同时防止了芝诺行为。最后,通过半车主动悬架系统的应用实例评估了所提控制方案的有效性。

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