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Stability analysis of decentralized adaptive backstepping control systems with actuator failures

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Abstract

In this paper, the authors analyze the stability of a class of interconnected systems with subsystem unmodeled dynamics and dynamic interactions employing decentralized adaptive controllers designed by Wen, Zhou, and Wang (2008) in the presence of actuator failures. It will be shown that the global stability of the remaining closed-loop system is still ensured and the outputs are also regulated to zero when some subsystems break down.

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References

  1. P. Ioannou, Decentralized adaptive control of interconnected systems, IEEE Transactions on Automatic Control, 1986, 31: 291–298.

    Article  MATH  MathSciNet  Google Scholar 

  2. C. Wen and D. J. Hill, Global boundedness of discrete-time adaptive control just using estimator projection, Automatica, 1992, 28: 1143–1157.

    Article  MATH  MathSciNet  Google Scholar 

  3. C. Wen, Indirect robust totally decentralized adaptive control of continuous-time interconnected systems, IEEE Transactions on Automatic Control, 1995, 40: 1122–1126.

    Article  MATH  Google Scholar 

  4. R. Ortega and A. Herrera, A solution to the decentralized stabilization problem, Systems and Control Letters, 1993, 20: 299–306.

    Article  MATH  MathSciNet  Google Scholar 

  5. C. Wen and Y. C. Soh, Decentralized model reference adaptive control without restriction on subsystem relative degree, IEEE Transactions on Automatic Control, 1999, 44: 1464–1469.

    Article  MATH  MathSciNet  Google Scholar 

  6. M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design, Wiley, New York, 1995.

    Google Scholar 

  7. C. Wen, Decentralized adaptive regulation, IEEE Transactions on Automatic Control, 1994, 39: 2163–2166.

    Article  MATH  Google Scholar 

  8. C. Wen and Y. C. Soh, Decentralized adaptive control using integrator backstepping, Automatica, 1997, 33: 1719–1724.

    Article  MathSciNet  Google Scholar 

  9. Y. Zhang, C. Wen, and Y. C. Soh, Robust decentralized adaptive stabilization of interconnected systems with guaranteed transient performance, Automatica, 2000, 36: 907–915.

    Article  MATH  MathSciNet  Google Scholar 

  10. Y. S. Liu and X. Y. Li, Decentralized robust adaptive control of nonlinear systems with unmodeled dynamics, IEEE Transactions on Automatic Control, 2002, 47: 848–853.

    Article  Google Scholar 

  11. Z. P. Jiang and D. W. Repperger, New results in decentralized adaptive nonlinear stabilization using output feedback, International Journal of Control, 2001, 74: 659–673.

    Article  MATH  MathSciNet  Google Scholar 

  12. C. Wen and J. Zhou, Decentralized adaptive stabilization in the presence of unknown backlash-like hysteresis, Automatica, 2007, 43: 426–440.

    Article  MATH  MathSciNet  Google Scholar 

  13. S. J. Liu, J. F. Zhang, and Z. P. Jiang, Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems, Automatica, 2007, 43: 238–251.

    Article  MATH  MathSciNet  Google Scholar 

  14. J. Zhou and C. Wen, Decentralized backstepping adaptive output tracking of interconnected nonlinear systems, IEEE Transactions on Automatic Control, 2008, 53: 2378–2384.

    Article  MathSciNet  Google Scholar 

  15. C. Wen, J. Zhou, and W. Wang, Decentralized adaptive backstepping stabilization of interconnected systems with dynamic input and output interactions, Automatica, 2009, 45: 55–67.

    Article  MATH  Google Scholar 

  16. K. Ikeda and S. Shin, Fault tolerant decentralized adaptive control systems using backstepping, in Proc. of the 34th CDC, Dec. 1995, 2340–2345.

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Authors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang, 639798, Singapore

    Wei Wang & Changyun Wen

  2. College of Information Science and Engineering, Northeastern University, Shenyang, 110004, China

    Guanghong Yang

Authors
  1. Wei Wang
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  2. Changyun Wen
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  3. Guanghong Yang
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Corresponding author

Correspondence to Wei Wang.

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Wang, W., Wen, C. & Yang, G. Stability analysis of decentralized adaptive backstepping control systems with actuator failures. J Syst Sci Complex 22, 109–121 (2009). https://doi.org/10.1007/s11424-009-9150-1

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  • DOI: https://doi.org/10.1007/s11424-009-9150-1

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