Non-Fragile Robust H∞ Control for Linear Uncertain Switched Systems with Delayed Perturbations

Ze Yin Xu

doi:10.4028/www.scientific.net/AMR.562-564.1968

Paper Titles

Research on the Variation of Average Temperature of Heat Conduction Process under the Second Boundary Condition
p.1951

Back Analysis of Material Parameters of Concrete Dam Using Genetic Algorithm
p.1955

The Peak Resolution of Diffuse X-Ray Diffraction Pattern of Tibetan Medicine
p.1959

Application of Neural Network for Nonlinear Predictive Control
p.1964

Non-Fragile Robust H∞ Control for Linear Uncertain Switched Systems with Delayed Perturbations
p.1968

Real-Time Detection Method on Draft of Inland Departure Ships
p.1972

Neural Network Inverse Decoupling Control of Flatness and Edge Drop for Tandem Cold Rolling Mill
p.1977

Research on Intrusion Detection for the Internet of Things Based on Clone Selection Principle
p.1982

Study on the Road Rigidity Detecting System Based on LabVIEW
p.1986

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 562-564Non-Fragile Robust H∞ Control for Linear Uncertain...

Non-Fragile Robust H∞ Control for Linear Uncertain Switched Systems with Delayed Perturbations

Abstract:

The non-fragile robust H∞ controller was designed for a class of uncertain switched systems with delayed perturbations under additive perturbations of controller gain. A sufficient condition for the solvability of the non-fragile robust H∞ controller via state feedback was proved and presented, which based on a proper Lyapunov function and switching strategy, non-fragile robust H∞ controller can be obtained only by solving linear matrix inequalities. The systems under actions of the given controller are not only robust but also satisfy H∞ performance when controller changes, and thus have better adaptability against variety of the environment parameters. The simulation results show the effectiveness of the design method.

You might also be interested in these eBooks

Materials Engineering and Automatic Control

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 562-564)

Pages:

1968-1971

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.562-564.1968

Citation:

Cite this paper

Online since:

August 2012

Authors:

Ze Yin Xu

Keywords:

Delay, LMI, Non-Fragile, Switched System

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Chang M S L, Peng T K C. Adaptive guaranteed cost control of systems with uncertain parameters [J]. IEEE Transactions on Automatic Control, 1972, 17(4): 472-483.

DOI: 10.1109/tac.1972.1100037

Google Scholar

[2] Petersen I R, Mcfarlane D C. Optimal guaranteed cost control and filtering for uncertain linear systems [J]. IEEE Transactions on AutomaticControl, 1994, 39(9): 1971-(1977).

DOI: 10.1109/9.317138

Google Scholar

[3] O. IKosmidou Y.S. Boutalis. A linear matrix approach for guaranteed cost control of systems with state and input delays, IEEE Transactions on Systems, Man, and Cybernetics-Part a : Systems and Humans, 2007, 1(35): 1-8.

DOI: 10.1109/tsmca.2005.855788

Google Scholar

[4] Wang Wu, Yang Fu-wen Robust and non-fragile H∞ control for linear uncertain systems. Journal of Fuzhou University (Natural Science Edition) 2004, 32(5): 563-567.

Google Scholar

[5] CAO Yongyan, SUN Youxian, LAM J. Delay-dependent robust H∞ control for uncertain systems with time-varying delays [J]. IEE Proc-Control Theory and Applications, 1998, 145(3) : 338-344.

DOI: 10.1049/ip-cta:19981951

Google Scholar

[6] de SOUZA C E, LI Xj, Delay-dependent robust H∞ control of uncertain linear state-delay systems [J]. Automatic, 1999, 35(9) : 1313-1321.

DOI: 10.1016/s0005-1098(99)00025-4

Google Scholar

[7] Gu, K., Kharitonov, V.L., and Chen, J. Stability of time-delay systems (Birkhauser, 2003).

Google Scholar