Robustness recovery of LQG-based multivariate control designs

Lee, Tsu‐Tian; Chen, Ming-Shyan

doi:10.1080/00207178708933796

Cited by 9 publications

(1 citation statement)

References 6 publications

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“…Thus A, = A -BK can be expressed by VT V -where V is the normalized eigenvector matrix of At, r = diag(r1, ..., rr), and I'i is a nonsingular Jordan block. From equation (14),…”

Section: Lemma Imentioning

confidence: 99%

Allowable parameter variations and robustness recovery in LQG regulators

Kim

Кwon

Lee

1991

Intl J Robust & Nonlinear

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In this paper, the bounds of allowable parameter variations in the LQG regulator for fixed weighting matrices are obtained and the asymptotic properties of these bounds with respect to weighting matrices are analysed. It is shown that the guaranteed bounds of allowable parameter variations, which are independent of weighting matrices, are often small but not necessarily small under some conditions. It is also shown that under some conditions, the allowable bounds of the LQG regulator can become as large as those of the LQ regulator. In addition, a loop transfer recovery method for perturbed systems is derived under which the LQG regulator may possess the same robustness as the LQ regulator. Examples are given to validate these results.

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“…Thus A, = A -BK can be expressed by VT V -where V is the normalized eigenvector matrix of At, r = diag(r1, ..., rr), and I'i is a nonsingular Jordan block. From equation (14),…”

Section: Lemma Imentioning

confidence: 99%

Allowable parameter variations and robustness recovery in LQG regulators

Kim

Кwon

Lee

1991

Intl J Robust & Nonlinear

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LTR design of proportional‐integral observers

Niemann

Stoustrup

Shafai

et al. 1995

Intl J Robust & Nonlinear

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SUMMARYThis paper applies the proportional-integral (PI) observer in connection with loop transfer recovery (LTR) design for continuous-time systems. We show that a PI observer makes it possible to obtain time recovery, i.e., exact recovery for t -+ -, under mild conditions. Based on an extension of the LQG/LTR method of proportional (P) observers, a systematic LTR design method is derived for the PI observer. Our recovery design method allows time recovery and frequency (normal)

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