对于非线性系统的事件触发自适应控制,使用无初始依赖的时间递归地平线
Zhiwei Hao1, Xiaokui Yue2, Zheng Wang3
1National Key Laboratory of Aerospace Flight Dynamics, School of Astronautics, Northwestern Polytechnical University, Xi'an, Shaanxi, 710072, China; Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore.
ISA transactions
|January 20, 2024
概括
本研究为不确定系统引入事件触发的自适应控制,克服复杂性并减少数据传输. 新方法在性能约束范围内确保稳定性,即使在未知的初始条件下.
科学领域:
- 控制系统工程 控制系统工程
- 非线性系统理论 非线性系统理论
- 适应性控制控制是适应性的
背景情况:
- 在不确定的严格反系统中,倒退设计因虚拟变量的未知合动态而复杂化.
- 现有的方法经常面临性能约束,初始条件依赖和高数据传输成本的困难.
研究的目的:
- 为不确定的严格反系统开发一个全状态约束事件触发的自适应控制策略.
- 解决塑造绩效约束的挑战,消除初始依赖,减少数据传输.
主要方法:
- 构建了一个时间递减的地平线 (TRH),集成了一个二进制的利亚普诺夫函数 (QLF),用于受约束的跟踪.
- 设计了一个调整函数来管理任意的系统初始条件和性能约束.
- 开发了一种双通道事件触发机制 (ETM),用于高效的控制器和估计器更新.
- 利用特定的不等式与后退来管理系统不确定性,而不是递归复杂性爆炸.
主要成果:
- 通过在规定的时间之前在受限制的区域内确保系统稳定,实现了实际的有限时间稳定 (PFS).
- 通过设计的调功能,成功地放松了初始条件依赖.
- 通过事件触发机制证明了通过事件触发机制减少数据传输负担.
- 验证了该方法在克服不确定性而没有复杂性爆炸方面的有效性.
结论:
- 拟议的事件触发自适应控制方法有效地处理不确定的严格反系统中的全态约束.
- 该方法成功地减轻了初始条件的依赖性,并减少了数据传输要求.
- 模拟结果证实了开发的控制策略的实际有限时间稳定性和整体有效性.
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