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Interaction measures for systems under decentralized control

✍ Scribed by Pierre Grosdidier; Manfred Morari

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
832 KB
Volume
22
Category
Article
ISSN
0005-1098

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✦ Synopsis

A shortcoming of many of the currently available measures of interactions is their limited theoretical basis. Using the notion of Structured Singular Value (SSV), a new dynamic interaction measure is defined for multivariable systems under feedback with diagonal or block diagonal controllers. This measure can be used not only to predict the stability of decentralized control systems but also to measure the performance loss caused by these control structures. In particular, its steady state value provides a sufficient condition for achieving offset-free performance with the closed loop system. The relationship of this new interaction measure with Rijnsdorp's interaction measure (1965) and Rosenbrock's Direct Nyquist Array (1974) is clarified.

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