document: Conditions for decentralized integral controllability The term decentralized integral controllability -LRB- DIC -RRB- pertains to the existence of stable decentralized controllers with integral action that have closed-loop properties such as stable independent detuning . It is especially useful to select control structures systematically at the early stage of control system design because the only information needed for DIC is the steady-state process gain matrix . Here , a necessary and sufficient condition conjectured in the literature is proved . The real structured singular value which can exploit realness of the controller gain is used to describe computable conditions for DIC . The primary usage of DIC is to eliminate unworkable pairings . For this , two other simple necessary conditions are proposed . Examples are given to illustrate the effectiveness of the proposed conditions for DIC
doc_bio_tags: O O B I I O O B I I O O O O O O O O B I I O B I O O O O O O B I I O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: decentralized integral controllability stable decentralized controllers integral action stable independent detuning control system design real structured singular value
abstractive_keyphrases: necessary sufficient conditions closed-loop properties systematic control structure selection steady-state process gain matrix controller gain realness unworkable pairing elimination schur complement