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Boundary control of discrete repetitive processes with smoothing: controllability, observability and disturbance attenuation

机译:具有平滑作用的离散重复过程的边界控制:可控制性,可观察性和干扰衰减

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摘要

In this paper, we proffer an explicit representation of solutions for a specific class of linear repetitive processes with smoothing. This representation is used to obtain direct controllability and observability criteria of this same class of discrete time 2-D systems. Not only classical controllability properties are considered, where control of the system is obtained by choosing its inhomogeneity appropriately, but also controllability of the system by steering it through boundary data control. From the point of view of technical applications, for instance in high pressure gas network modelling (see Azevedo-Perdicoúlis and Jank in Proceedings of n-DS, international workshop on multidimensional systems, Thessaloniki. 2009), it seems to be more reliable to consider boundary data controls. Therefore, in this paper we emphasise boundary data control properties of the system. A disturbed optimal boundary control problem with a quadratic criterion is also solved.
机译:在本文中,我们为带有平滑的一类特定线性重复过程提供了解决方案的显式表示。该表示用于获得此类离散时间二维系统的直接可控制性和可观察性标准。不仅要考虑经典的可控制性,通过适当选择其不均匀性来获得系统的控制权,而且还要考虑通过边界数据控制来控制系统的可控制性。从技术应用的角度来看,例如在高压气体网络建模中(请参阅Azevedo-Perdicoúlis和Jank在“ n-DS论文集”上,多维系统国际研讨会,塞萨洛尼基,2009年),考虑起来更可靠。边界数据控件。因此,在本文中,我们强调系统的边界数据控制属性。还解决了具有二次准则的扰动最优边界控制问题。

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