✦ LIBER ✦

Optimal control of weakly coupled bilinear systems

✍ Scribed by Zijad Aganovic; Zoran Gajic

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 276 KB
Volume: 29
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(93)90026-p

No coin nor oath required. For personal study only.

✦ Synopsis

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 subsystems. This leads to a reduction in the size of the required computations and allows parallel processing of information. The near-optimal closed-loop control is obtained in the form of a linear feedback law, with the feedback gains calculated from two reduced-order independent time-varying linear-quadratic optimal control problems.

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