Escalator method for determining optimal state feedback controllers for bordered unconstrained bilinear systems
作者:
S. G. TZAFESTAS,
C. A. BOTSARIS,
期刊:
International Journal of Systems Science
(Taylor Available online 1987)
卷期:
Volume 18,
issue 3
页码: 501-506
ISSN:0020-7721
年代: 1987
DOI:10.1080/00207728708963983
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A method is presented for obtaining the optimal quadratic state feedback control law of a bordered bilinear system in terms of the optimal control law of the system before bordering. The method is based on the Cholesky factorization of the system matrix which is assumed to be symmetric and positive definite. Under a certain condition on the norm of the bordering vector a simple closed-form expression for the stabilizing state feedback gain matrix is obtained.
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