Minimal control configuration for descriptor systems

Document Type

Article

Publication Date

1-1-2000

Abstract

This paper considers the problem of choosing a decentralized information flow constraint (DIFC), or equivalently, the choice of input/output pairing, so as to minimize the complexity of a controller required for the system. In particular, DIFC is analyzed for the generalized robust servomechanism problem where the necessary controller structure is well defined. For the case of constant yref, constant disturbance ω, the open-loop stable plants, it can be readily shown that the servocompensator gain matrix generally contains mr nonzero parameters. In large scale system problems, this number may be unrealistically large and therefore not practical. It is of interest then, to determine if a minimal interconnection/pairing exists for the sensors and actuators. This problem is known as the minimal sensor actuator placement problem (MSAPP). Since a large number of industrial processes are characterized by poorly modeled plant dynamics, e.g. chemical systems, electric power networks, the MSAPP will be discussed in the context of unknown systems [6] where the existence conditions for the MSAPP and the corresponding controller structure will be determined by some steady-state parameters of the plant. calculated by performing a limited number of steady-state experiments on the plant. Since the plant is 'unknown', it will be assumed that it is open-loop stable and that yref, ω are constant-the most common class of signals encountered in industrial processes. © 2000 AACC.

Identifier

0034542706 (Scopus)

Publication Title

Proceedings of the American Control Conference

External Full Text Location

https://doi.org/10.1109/acc.2000.879529

ISSN

07431619

First Page

1884

Last Page

1888

Volume

3

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