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An L-lossless factorization approach to the positive real control problem

โœ Scribed by Mitsumasa Sato; Masayuki Suzuki

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
717 KB
Volume
333
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

in this paper, we consider the generalized plant used in H ~ control problem and formulate the problem of making the closed-loop transfer function matrices positive real by output feedback. A tfirst, this problem is solved in frequency domain by using the concept of the lossless positive real and the conjugation, and is reduced to finding an L-lossless factorization of a certain matrix as well as a well-known J-lossless factorization. An L-lossless system in this paper is the representation as a chain-scattering matrix of a lossless positive real system. Next, we expand this theory to the time domain by the generalized L-lossless factorization and the chain-scattering representation of the plant. As the result, this problem is reduced to solving the 2-Riccati equations like the H ~ controlproblem.

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