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Robust H∞ Reliable Guaranteed Cost Control for Delta Operator Uncertain Systems

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Information and Automation (ISIA 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 86))

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Abstract

This paper is concerned with the problem of guaranteed cost robust H-infinity reliable control for delta operator formulated uncertain systems with actuator failures. Based on the pattern of actuator continuous failures, a sufficient condition of the existence of guaranteed cost controller of delta operator system with H-infinity performance constraints is derived in terms of linear matrix inequality (LMI) approach. When this LMI is feasible, the parameterized representation of the desired state feedback controller is also obtained.

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References

  1. Zhang, Y.L., Tang, Z.Y., Zhou, H.B.: Robust guaranteed cost control for jump stochastic systems subject to actuator saturation. In: 2010 International Conference on Measuring Technology and Mechatronics Automation, Changsha, China, pp. 270–273 (2010)

    Google Scholar 

  2. Gong, Y.M., Wo, S.L., Yan, P.: Guaranteed cost H (control for stochastic systems. In: 2009 Chinese Control and Decision Conference, Guilin, China, pp. 4117–4121 (2009)

    Google Scholar 

  3. Wang, L., Shi, H.B.: An LMI approach to robust guaranteed cost fault-tolerant control for a class of uncertain parameter systems. In: 7th World Congress on Intelligent Control and Automation, Chongqing, China, pp. 955–959 (2008)

    Google Scholar 

  4. Han, X.D., Xie, D.X., Ge, L., Wang, Z.Q.: Robust H∞ guaranteed cost D-stable satisfactory fault-tolerant control against actuator failures. In: 2008 Chinese Control and Decision Conference, Yantai, China, pp. 2696–2699 (2008)

    Google Scholar 

  5. He, G.N., Liu, Z.D.: Guaranteed cost control for uncertain linear systems under actuator failures. J. Techniques of Automation & Applications 24, 18–21 (2005)

    Google Scholar 

  6. Lun, S.X., Wang, S.Q.: Robust H∞ guaranteed cost control for networked control systems based on T-S model. In: 2010 International Conference on Networking Sensing and Control, Chicago, pp. 447–451 (2010)

    Google Scholar 

  7. Goodwin, G.C., Leal, R.L., Middleton, R.H.: Rapprochement between continuous and discrete model reference adaptive control. Automatica 22, 199–207 (1986)

    Article  MATH  Google Scholar 

  8. Guo, X.G., Yang, G.H.: Non-fragile H∞ filter design with pole placement constraints for delta operator formulated systems via LMI optimization. In: 2009 American Control Conference, St. Louis, MO, pp. 3188–3193 (2009)

    Google Scholar 

  9. Zhang, D.J., Song, Q.H., Zhang, L.H., Ding, S.X.: Robust D-stable fault tolerant control for delta operator formulated uncertain systems with state delays. In: 2009 ISECS Int. Colloquium on Computing, Communication, Control and Management, Sanya, China, pp. 505–508 (2009)

    Google Scholar 

  10. Hu, G., Ren, J.C., Xie, X.S.: Optimal guaranteed cost control for delta operator uncertain linear systems. J. Electric Machines and Control 7, 139–142 (2003)

    Google Scholar 

  11. Xiao, M.Q.: Reliable robust guaranteed cost control of delta operator linear uncertain systems with sensor failure. In: 2009 Second International Conference on Intelligent Computation Technology and Automation, Changsha, China, pp. 834–837 (2009)

    Google Scholar 

  12. Xie, L.: Output feedback H∞ control of systems with parameter uncertainty. International Journal of Control 63, 741–750 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  13. Shor, M.H., Perkins, W.R.: Reliable control in the presence of sensor / actuator failures: a unified discrete / continuous approach. In: 30th IEEE Conference on Decision and Control, Brighton, pp. 1601–1606 (1991)

    Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Guan, L., Meng, S., Zhang, D. (2011). Robust H∞ Reliable Guaranteed Cost Control for Delta Operator Uncertain Systems. In: Qi, L. (eds) Information and Automation. ISIA 2010. Communications in Computer and Information Science, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19853-3_48

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  • DOI: https://doi.org/10.1007/978-3-642-19853-3_48

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19852-6

  • Online ISBN: 978-3-642-19853-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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