Robust <i>H</i><sub>∞</sub> control for uncertain systems with time-varying delay

SHI Guigang; LIAO Fucheng

doi:10.13374/j.issn1001-053x.2006.09.016

Volume 28 Issue 9

Aug. 2021

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SHI Guigang, LIAO Fucheng. Robust H∞ control for uncertain systems with time-varying delay[J]. Chinese Journal of Engineering, 2006, 28(9): 875-880. doi: 10.13374/j.issn1001-053x.2006.09.016

Citation:

SHI Guigang, LIAO Fucheng. Robust H_∞ control for uncertain systems with time-varying delay[J]. Chinese Journal of Engineering, 2006, 28(9): 875-880. doi: 10.13374/j.issn1001-053x.2006.09.016

SHI Guigang, LIAO Fucheng. Robust H∞ control for uncertain systems with time-varying delay[J]. Chinese Journal of Engineering, 2006, 28(9): 875-880. doi: 10.13374/j.issn1001-053x.2006.09.016

Citation:

SHI Guigang, LIAO Fucheng. Robust H_∞ control for uncertain systems with time-varying delay[J]. Chinese Journal of Engineering, 2006, 28(9): 875-880. doi: 10.13374/j.issn1001-053x.2006.09.016

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Robust H_∞ control for uncertain systems with time-varying delay

doi: 10.13374/j.issn1001-053x.2006.09.016

Applied Science School, University of Science and Technology Beijing, Beijing 100083, China

Received Date: 2005-06-11
Rev Recd Date: 2006-03-24

Available Online: 2021-08-24

Abstract

Abstract

Based on the quadratic stability theory, the problem of robust H_∞control for time-delay systems with time-varying uncertainties was dealt with by using the linear matrix inequality approach. A sufficient condition for the systems to be quadratically stable with an H_∞-norm bound γ was presented for all admissible uncertainties. By solving a linear matrix inequality, the H_∞ state feedback controller was obtained.
- time-delay system,
- robust H_∞ control,
- quadratic stability,
- linear matrix inequality