对于线性时间变化系统的事件触发的无周期间歇控制
Guanglei Wu1, Xiaotai Wu1, Jinde Cao2
1Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu 241000, China.
ISA transactions
|November 17, 2023
概括
本研究介绍了线性时间变量系统 (LTVS) 的事件触发无周期间歇控制 (AIC),使其在没有连续反的情况下保持稳定. 这种方法提高了实际应用的控制效率.
科学领域:
- 控制系统工程 控制系统工程
- 系统理论 系统理论
- 应用数学 应用数学 应用数学
背景情况:
- 线性时变系统 (LTVS) 的传统控制方法通常需要持续的反,这在许多现实场景中是不切实际的或不可能的.
- 需要更有效和更适应的控制策略,推动了对间歇性控制方法的研究.
- 事件触发机制提供了一种减少控制信号频率的方法,只在必要时激活控制.
研究的目的:
- 开发和分析线性时间变量系统 (LTVS) 的事件触发无周期间歇控制 (AIC).
- 根据事件触发的AIC,为LTVS建立稳定性标准 (统一,全局异常和有限时间).
- 设计有效的间歇控制器,采用零碎的恒定反方法.
主要方法:
- 使用Lyapunov函数来设计一个事件触发机制来确定控制瞬间.
- 开发理论框架来证明对受控的LTVSs的统一稳定性,全局非对称稳定性和有限时间稳定性.
- 为间歇控制器实施逐步的恒定反控制策略.
主要成果:
- 证明了LTVS事件触发AIC的可行性,克服了连续控制的局限性.
- 根据拟议的控制方案,建立了严格的条件,以实现不同类型的稳定性 (统一,全局不对称,有限时间).
- 设计了有效的间歇控制器,可以降低控制力度,同时保持系统稳定性.
结论:
- 事件触发的AIC是LTVS的可行和高效的控制策略,特别是当连续控制是不可行的.
- 提出的方法为分析和设计稳定的控制系统提供了强大的框架,控制活动减少.
- 数字示例验证了事件触发的AIC方法对LTVS的有效性.
相关概念视频
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