Robustness of perturbed large-scale systems with local constant state feedback

Wen June Wang; Cheng Fa Cheng

doi:10.1080/00207178908953367

Robustness of perturbed large-scale systems with local constant state feedback

Wen June Wang, Cheng Fa Cheng

Department of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

The robustness problem of perturbed large-scale systems is considered. The nominal large-scale system is stabilized by a local constant state feedback u_i(t) = k_ix_i(t) and the local optimal control law u_i(t) = − R_i⁻¹_i^TP_ix_i(t), respectively. In the above two cases, bounds are obtained for an allowable non-linear time-invariant (or time-varying) perturbation such that the resulting closed-loop large-scale system remains stable. The special case of a linear perturbation is also treated here.

Original language	English
Pages (from-to)	373-384
Number of pages	12
Journal	International Journal of Control
Volume	50
Issue number	1
DOIs	https://doi.org/10.1080/00207178908953367
State	Published - Jul 1989

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title = "Robustness of perturbed large-scale systems with local constant state feedback",

abstract = "The robustness problem of perturbed large-scale systems is considered. The nominal large-scale system is stabilized by a local constant state feedback ui(t) = kixi(t) and the local optimal control law ui(t) = − Ri−1iTPixi(t), respectively. In the above two cases, bounds are obtained for an allowable non-linear time-invariant (or time-varying) perturbation such that the resulting closed-loop large-scale system remains stable. The special case of a linear perturbation is also treated here.",

author = "Wang, {Wen June} and Cheng, {Cheng Fa}",

note = "Funding Information: This research was supported by the National Science Council in Taiwan, Republic of China under contract NSC 77-0404-E008-04.",

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AU - Cheng, Cheng Fa

N1 - Funding Information: This research was supported by the National Science Council in Taiwan, Republic of China under contract NSC 77-0404-E008-04.

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Y1 - 1989/7

N2 - The robustness problem of perturbed large-scale systems is considered. The nominal large-scale system is stabilized by a local constant state feedback ui(t) = kixi(t) and the local optimal control law ui(t) = − Ri−1iTPixi(t), respectively. In the above two cases, bounds are obtained for an allowable non-linear time-invariant (or time-varying) perturbation such that the resulting closed-loop large-scale system remains stable. The special case of a linear perturbation is also treated here.

AB - The robustness problem of perturbed large-scale systems is considered. The nominal large-scale system is stabilized by a local constant state feedback ui(t) = kixi(t) and the local optimal control law ui(t) = − Ri−1iTPixi(t), respectively. In the above two cases, bounds are obtained for an allowable non-linear time-invariant (or time-varying) perturbation such that the resulting closed-loop large-scale system remains stable. The special case of a linear perturbation is also treated here.

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EP - 384

JO - International Journal of Control

JF - International Journal of Control

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ER -

Robustness of perturbed large-scale systems with local constant state feedback

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