${{\mathcal{H}}_{\infty} }$ Performance Analysis for Almost Periodic Piecewise Linear Systems With Application to Roll-to-Roll Manufacturing Control

Le résumé fourni par la source

An almost periodic piecewise linear system (APPLS) is a type of piecewise linear system where the system cyclically switches between different modes, each with an uncertain but bounded dwell-time. Process regulation, especially disturbance rejection, is critical to the performance of these advanced systems. However, a method to guarantee disturbance rejection has not been developed. The objective of this study is to develop an${{\mathcal{{H}}}_{\infty} }$performance analysis method for APPLSs, building on which an algorithm to synthesize practical${{\mathcal{{H}}}_{\infty} }$controllers is proposed. As an application, the developed methods are demonstrated with an advanced manufacturing system—roll-to-roll dry transfer of two-dimensional materials and printed flexible electronics. Experimental results show that the proposed method enables a less conservative and much better performing${{\mathcal{{H}}}_{\infty} }$controller compared with a baseline${{\mathcal{{H}}}_{\infty} }$controller that does not account for the uncertain system switching structure.

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