arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.00473eess.SYcs.SYmath.OC
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摄动不确定非线性系统的区域自触发控制

Region-Based Self-Triggered Control for Perturbed and Uncertain Nonlinear Systems

Giannis Delimpaltadakis, Manuel Mazo

摘要:

针对具有有界扰动和模型不确定性的非线性系统,提出了一种基于区域的自触发控制方法。所提出的STC方案能够保证不同的性能规格(例如稳定性、有界性等),这取决于被选择来仿真的事件触发控制(ETC)触发功能。为了处理干扰和不确定性,我们采用微分包含(DI)。通过引入ETC/STC的概念,在DI的上下文中,我们扩展了著名的结果ETC/STC扰动不确定系统。鉴于这些结果,并适应工具,从我们以前的工作中,我们得到的扰动不确定ETC系统的等值线流形的内部近似。这些近似值将状态空间划分为区域,每个区域与统一的采样间时间相关联。在每个采样时刻,控制器检查所测量的状态属于哪个区域,并相应地决定下一个采样时刻。

英文摘要:

In this work, we derive a region-based self-triggered control (STC) scheme for nonlinear systems with bounded disturbances and model uncertainties. The proposed STC scheme is able to guarantee different performance specifications (e.g. stability, boundedness, etc.), depending on the event-triggered control (ETC) triggering function that is chosen to be emulated. To deal with disturbances and uncertainties, we employ differential inclusions (DIs). By introducing ETC/STC notions in the context of DIs, we extend well-known results on ETC/STC to perturbed uncertain systems. Given these results, and adapting tools from our previous work, we derive inner-approximations of isochronous manifolds of perturbed uncertain ETC systems. These approximations dictate a partition of the state-space into regions, each of which is associated to a uniform inter-sampling time. At each sampling time instant, the controller checks to which region the measured state belongs and correspondingly decides the next sampling instant.

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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