对于2D空间分布式参数系统的指数边界控制,在边界下配置和平面线性测量
IEEE transactions on cybernetics
|March 13, 2024
概括
本研究介绍了对具有空间依赖扩散性的二维空间分布式参数系统 (DPS) 的边界控制策略. 该方法使用最少的传感器和执行器高效地实现所需的配置文件,展示了热传导系统的实际控制.
科学领域:
- 控制理论 控制理论
- 应用数学 应用数学 应用数学
- 系统工程 系统工程
背景情况:
- 控制具有复杂扩散性的二维空间分布式参数系统 (DPS) 的挑战.
- 在复杂的系统控制中需要减少传感器/执行器要求.
- 现有的方法通常需要全域测量或广泛的控制控制.
研究的目的:
- 为了实现指数实现所需的配置文件在2-D空间DPS与空间依赖的扩散度.
- 通过尽量减少传感器和执行器来开发具有成本效益的控制策略.
- 通过数值和应用示例来验证拟议的控制和测量方案.
主要方法:
- 提出了一个平面输出反边界控制策略.
- 结合边界的拼接测量和平面的线性测量技术.
- 使用了Poincaré-Wirtinger不等式和变量替代用于错误系统分析.
主要成果:
- 成功证明了错误系统的指数趋同标准.
- 拟议的战略要求控制只有两个边界和最小的输出信息.
- 通过一般的数值示例和二维传热系统验证了有效性和可行性.
结论:
- 开发的边界控制策略对具有空间依赖的扩散度的2D空间DPS有效.
- 这种方法显著减少了对广泛传感器和执行器的需求.
- 该方法为现实世界的应用提供了实际的解决方案,例如传热系统.
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