arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0806.0709math.OCmath.DS
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采样与不采样:非线性系统的自触发控制

To sample or not to sample: Self-triggered control for nonlinear systems

Adolfo Anta, Paulo Tabuada

摘要:

传统上,反馈控制法则以周期性的方式在数字硬件上实现。虽然周期性简化了控制设计与其数字实现之间的不匹配的分析,但它也导致了资源的保守使用,例如在嵌入式控制的情况下的CPU利用率。我们提出了一种新的技术,放弃了周期性的假设,通过使用当前状态的植物,以决定下一个时刻,在该状态应被测量,计算的控制律,和执行器更新。这种方法被称为自触发控制,它被用于两类非线性控制系统,即状态相关的齐次系统和多项式系统。两个著名的物理例子:喷气发动机压气机和刚体所提出的结果的广泛适用性。

英文摘要:

Feedback control laws have been traditionally implemented in a periodic fashion on digital hardware. Although periodicity simplifies the analysis of the mismatch between the control design and its digital implementation, it also leads to conservative usage of resources such as CPU utilization in the case of embedded control. We present a novel technique that abandons the periodicity assumption by using the current state of the plant to decide the next time instant in which the state should be measured, the control law computed, and the actuators updated. This technique, termed self-triggered control, is developed for two classes of nonlinear control systems, namely, state-dependent homogeneous systems and polynomial systems. The wide applicability of the proposed results is illustrated in two well known physical examples: a jet engine compressor and the rigid body.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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