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On feedback stabilizability of decentralized dynamic systems

✍ Scribed by M. Aoki

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
826 KB
Volume
8
Category
Article
ISSN
0005-1098

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✦ Synopsis

Sur l'aptitude ~ la stabilisation par r6action d'un syst~me dynamique deeentralis6 Uber die Stabilisierbarkeit von dezentralisierten dynamischen Systemen durch Riickftihrung 0 cnocorHOCTrt r cTarrtrm3attm,I 06paTaofi CBII3blO )/rmaMrIqecKofi )letlenTpa)lvI30BarIHO~ CHCTeMbI M. AOKI*

Several control agents having different information on the total state of a dynamic system must in general communicate with each other to stabilize the system by.feedback.

Summary--The paper formulates and discusses stabilizability of decentralized linear time invariant dynamical systems with coordination and/or communication among control agents. Decentralized control systems are defined to be dynamical systems with several controllers, each operating on the system with partial information on the states of the systems. This restriction amounts to certain structural constraints on the feedback and other system matrices. With the constraints, controllability of the systems does no longer imply stabilizability. Algebraic and geometric approaches are used to obtain stabilizability conditions for decentralized systems.

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