离散时间延迟模糊系统的输入到状态稳定通过无周期间歇控制
Jing Shi1, Chen Peng1, Yuxin Guo1
1School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200444, China.
ISA transactions
|October 25, 2024
概括
这项研究通过间歇控制来增强对延迟的Takagi-Sugeno (T-S) 模糊系统的控制. 新的方法确保了系统稳定性,减少了计算负载和控制信号的减少.
科学领域:
- 控制系统工程 控制系统工程
- 模糊逻辑系统 模糊逻辑系统
- 非线性控制理论 不线性控制理论
背景情况:
- 离散时间的Takagi-Sugeno (T-S) 模糊系统被广泛使用,但经常面临时间延迟的挑战.
- 确保输入到状态稳定性 (ISS) 对于在存在干扰的情况下提供强大的系统性能至关重要.
- 周期性间歇性控制提供了减少通信和计算负担的潜力,但需要仔细设计.
研究的目的:
- 为推迟的离散时间TS模糊系统开发有效的间歇性间歇性控制策略.
- 在间歇控制下确保指数稳定性和输入到状态稳定性 (ISS).
- 与传统方法相比,减少控制信号的数量和计算复杂性.
主要方法:
- 时间触发控制的数学感应和准周期性条件.
- 利亚普诺夫-克拉索夫斯基 (L-K) 方法与描述符方法相结合.
- 为控制器合成开发显式线性矩阵不等式 (LMI).
- 一种新的动态事件触发控制策略,具有可调节的参数.
主要成果:
- 为指数稳定性和ISS获得足够的条件,以进行周期性间歇的时间触发控制.
- 提出的基于LMI的方法显著降低了数值复杂性.
- 动态事件触发的控制策略,参数大于一个,进一步减少信号传输.
- 通过数值示例进行验证,包括一个反转的摆形系统.
结论:
- 拟议的周期间歇控制方法有效地实现了延迟TS模糊系统的输入到状态稳定.
- 动态事件触发方法通过降低控制信号频率来提高效率.
- 该LMI配方提供了一个计算效率高的方法来设计稳定控制器.
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