提出一种周期触发的自适应屏障控制,实现受限系统的快速轨迹跟踪。
Periodic Event-Triggered Prescribed Time Control of Euler-Lagrange Systems under State and Input Constraints
- 周期检测触发条件,减少控制更新次数。
- 保证跟踪误差在指定时间内收敛到预设范围。
- 适用于有状态、输入和时间约束的工程系统控制。
本文针对存在扰动的受状态、输入和时间(SIT)约束的 Euler-Lagrange 系统,提出一种周期事件触发的自适应屏障控制策略,用于解决轨迹跟踪问题。设计了一种无需近似估计的自适应屏障架构,确保跟踪误差在规定时间内收敛至预定界限,并有效抑制外部扰动。与需持续实时控制的传统方法不同,该控制器通过周期性评估触发条件生成事件驱动的控制更新。此外,通过分析滤波后跟踪误差的性能退化,推导出监控周期的上界,以支持周期性触发策略的可行性。为此,在触发机制中引入时变阈值函数,降低系统瞬态过程中的触发频率。显著地,该设计避免了 Zeno 行为,且无需持续监测触发条件。仿真与实验验证了所提控制方案的有效性。
原文摘要 · Abstract (English)
This article proposes a periodic event-triggered adaptive barrier control policy for the trajectory tracking problem of perturbed Euler-Lagrangian systems with state, input, and temporal (SIT) constraints. In particular, an approximation-free adaptive-barrier control architecture is designed to ensure prescribed-time convergence of the tracking error to a prescribed bound while rejecting exogenous disturbances. In contrast to existing approaches that necessitate continuous real-time control action, the proposed controller generates event-based updates through periodic evaluation of the triggering condition. Additionally, we derive an upper bound on the monitoring period by analysing the performance degradation of the filtered tracking error to facilitate periodic evaluation of the event-triggered strategy. To this end, a time-varying threshold function is considered in the triggering mechanism to reduce the number of triggers during the transient phase of system behaviour. Notably, the proposed design avoids Zeno behaviour and precludes the need for continuous monitoring of the triggering condition. A simulation and experimental study is undertaken to demonstrate the efficacy of the proposed control scheme.
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