Modular control under privacy protection: Fundamental trade-offs

In privacy-preserving controller design, there is usually a trade-off between the privacy level and control performances, we show in this paper that particular determines lower bound on differential of closed-loop system. The task consider reference tracking plug-and-play setting, plant under networked system modules, each which has no access to models others. For module, first identify whole set local controllers based Youla parametrization. At same time, protect its own privacy, tries prevent other interconnected modules private information; context, for example, signal (say, target production amount if module workshop factory) can be viewed as piece information. Each tune parameters increase signal. However, distribution Laplace (resp. uniform) noise fixed, mechanism cannot further improved from ceiling value matter how one tunes parameters. words, modular systems control, level.