Passivity Based Dynamic Controllability Analysis for Multi-Unit Processes

In this paper, a simple dynamic controllability analysis is developed to analyze the achievable control performance of different control structures for multi-unit processes. Based on the concept of passive systems, this approach extends the concepts of Decentralized Integral Controllability (DIC) and Block-Decentralized Integral Controllability (BDIC) so that process dynamics are considered. By using particular multipliers that represent different control structures, the frequency ranges in which perfect control may be achieved by multi-loop, multi-unit (block diagonal) and multivariable controllers are estimated. This bandwidth indicates the swiftness of the feedback control systems (e.g., the time the control systems take to reject a disturbance).