H∞ norm constraint and variance control for stochastic uncertain large-scale systems via the sliding mode concept

Koan Yuh Chang; Wen June Wang

doi:10.1109/81.795840

H_∞ norm constraint and variance control for stochastic uncertain large-scale systems via the sliding mode concept

Koan Yuh Chang, Wen June Wang

Department of Electrical Engineering

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

24 Scopus citations

Abstract

Based on the concept of sliding mode control (SMC), this paper investigates the local-state upper bound covariance control (UBCC) problems with the H_∞ norm and variance constraints for stochastic uncertain large-scale systems. By using the invariance property of variable structure systems, the uncertain interconnection terms with a matching condition will disappear on the sliding mode. Combining the sliding phase and hitting phase of the system design, the hitting controller and the gain matrix G_i for each subsystem are proposed to achieve the goal.

Original language	English
Pages (from-to)	1275-1280
Number of pages	6
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	46
Issue number	10
DOIs	https://doi.org/10.1109/81.795840
State	Published - Oct 1999

Keywords

Covariance control
H-norm
Large-scale systems
Sliding mode control

Access to Document

10.1109/81.795840

Cite this

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title = "H∞ norm constraint and variance control for stochastic uncertain large-scale systems via the sliding mode concept",

abstract = "Based on the concept of sliding mode control (SMC), this paper investigates the local-state upper bound covariance control (UBCC) problems with the H∞ norm and variance constraints for stochastic uncertain large-scale systems. By using the invariance property of variable structure systems, the uncertain interconnection terms with a matching condition will disappear on the sliding mode. Combining the sliding phase and hitting phase of the system design, the hitting controller and the gain matrix Gi for each subsystem are proposed to achieve the goal.",

keywords = "Covariance control, H-norm, Large-scale systems, Sliding mode control",

author = "Chang, {Koan Yuh} and Wang, {Wen June}",

note = "Funding Information: Manuscript received November 19, 1997; revised September 23, 1998. This work was supported in part by the National Science Council of Taiwan, R.O.C., under Grant NSC 88-2213-E008-041. This paper was recommended by Associate Editor L. Fortuna. The authors are with the Department of Electrical Engineering, National Central University, Chung Li 320, Taiwan, R.O.C. Publisher Item Identifier S 1057-7122(99)08097-6.",

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T1 - H∞ norm constraint and variance control for stochastic uncertain large-scale systems via the sliding mode concept

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N2 - Based on the concept of sliding mode control (SMC), this paper investigates the local-state upper bound covariance control (UBCC) problems with the H∞ norm and variance constraints for stochastic uncertain large-scale systems. By using the invariance property of variable structure systems, the uncertain interconnection terms with a matching condition will disappear on the sliding mode. Combining the sliding phase and hitting phase of the system design, the hitting controller and the gain matrix Gi for each subsystem are proposed to achieve the goal.

AB - Based on the concept of sliding mode control (SMC), this paper investigates the local-state upper bound covariance control (UBCC) problems with the H∞ norm and variance constraints for stochastic uncertain large-scale systems. By using the invariance property of variable structure systems, the uncertain interconnection terms with a matching condition will disappear on the sliding mode. Combining the sliding phase and hitting phase of the system design, the hitting controller and the gain matrix Gi for each subsystem are proposed to achieve the goal.

KW - Covariance control

KW - H-norm

KW - Large-scale systems

KW - Sliding mode control

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