10.1021/acs.iecr.7b02165.s001 Yi Zhang Yi Zhang Steven Su Steven Su Andrey Savkin Andrey Savkin Branko Celler Branko Celler Hung Nguyen Hung Nguyen Multiloop Integral Controllability Analysis for Nonlinear Multiple-Input Single-Output Processes American Chemical Society 2017 quadruple-tank system control loop failure DIC integral controllability TISO nonlinear MISO processes two-input single-output integral actions offset-free control multiple-input single-output nonsquare processes temperature control system MIC conditions performance multiloop integral controllability Multiloop Integral Controllability Analysis Nonlinear Multiple-Input Single-Output Processes MIC analysis control loops 2017-06-14 00:00:00 Journal contribution https://acs.figshare.com/articles/journal_contribution/Multiloop_Integral_Controllability_Analysis_for_Nonlinear_Multiple-Input_Single-Output_Processes/5170711 The decentralized integral controllability (DIC) for linear/nonlinear square processes implies the existence of stable decentralized controllers with integral actions capable of achieving offset-free control and detuning any subset of the control loops independently. However, the current version of the DIC cannot be directly applied to nonsquare processes specifically for multiple-input single-output (MISO) processes. This paper presents the new definition and theorem of multiloop integral controllability (MIC) to nonlinear MISO processes, and proposes the sufficient MIC conditions in order for such processes to guarantee decentralized unconditional stability under control loop failure as well as to achieve offset-free tracking performance. Two examples, the quadruple-tank system (model based) and the temperature control system, are modified as two-input single-output (TISO) plants and given to quantitatively interpret the effectiveness of the proposed MIC analysis where the desirable performance of both applications can be obtained.