The optimization of the time-invariant bilinear weakly coupled system with a quadratic performance criterion is considered. A sequence of linear state and costate equations is constructed such that the open-loop solution of the optimization problem is obtained in terms of the reduced-order subsystem
Hierarchical control of weakly-coupled systems
โ Scribed by Douglas P. Looze; Nils R. Sandell Jr
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 500 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
The usual concept of weakly-coupled systems is generalized to provide a definition in terms of the decomposition used. The definition includes a measure of the strength of the coupling. The main result of the paper is a local convergence result for natural decompositions (decompositions which exploit system structure) of systems which are sufficiently weakly coupled.
๐ SIMILAR VOLUMES
In this paper we introduce a transformation for the exact closed-loop decomposition of the optimal control and Kalman "ltering tasks of linear weakly coupled stochastic systems composed of N subsystems. In addition to having obtained N completely independent reduced-order subsystem Kalman "lters wor
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