Robust reliable decentralized control

Several researchers have considered the analysis of control system reliability for systems without plant/model mismatch. In this manuscript we review several of these proposed analysis tools, including some of the strongest, and show that the results are either conservative, computationally expensive, or incorrect. We then develop necessary and sufficient conditions for many forms of reliability defined in the literature, and since the model is always an imperfect representation for the true process, we extend the resulting analysis tools to uncertain systems.