Output-feedback control of a class of stochastic nonlinear systems with power growth conditions

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• 作者：Long-Chuan Guo (1)
  Xin Zuo (1)
  Jian-Wei Liu (1)
  Hua-Qing Liang (1)
  
• 关键词：Backstepping ; output ; feedback stabilization ; power growth conditions ; stochastic nonlinear systems
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2014
• 出版时间：April 2014
• 年：2014
• 卷：12
• 期：2
• 页码：274-282
• 全文大小：1,814 KB
• 参考文献：1. H. Deng and M. Krsti膰, 鈥淥utput-feedback stochastic nonlinear stabilization,鈥? / IEEE Trans. on Automatic Control, vol. 44, no. 2, pp. 328鈥?33, February 1999. CrossRef
  2. H. Deng and M. Krsti膰, 鈥淥utput-feedback stabilization of stochastic nonlinear systems driven by noise of unknown covariance,鈥? / System and Control Letters, vol. 39, no. 3, pp. 173鈥?82, March 2000. CrossRef
  3. M. Krsti膰 and H. Deng, / Stabilization of Nonlinear Uncertain Systems, Spring-Verlag, New York, 1988.
  4. Y. G. Liu and J. F. Zhang, 鈥淧ractical outputfeedback risk-sensitive control for stochastic nonlinear systems with stable zero-dynamics,鈥? / SIAM Journal of Control and Optimization, vol. 45, no. 3, pp. 885鈥?26, March 2006. CrossRef
  5. Z. J. Wu, X. J. Xie, and S. Y. Zhang, 鈥淪tochastic adaptive backstepping controller design by introducing dynamic signal and changing supply function,鈥? / International Journal of Control, vol. 79, no. 12, pp. 1635鈥?646, December 2006. CrossRef
  6. S. J. Liu, J. F. Zhang, and Z. P. Jiang, 鈥淒ecentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems,鈥? / Automatica, vol. 34, no. 2, pp. 238鈥?51, February 2007. CrossRef
  7. Z. G. Pan, Y. G. Liu, and S. Shi, 鈥淥utput feedback stabilization for stochastic nonlinear systems in observer canonical form with stable zero-dynamics,鈥? / Science in China (Series F), vol. 44, no. 2, pp. 292鈥?08, April 2001.
  8. Y. G. Liu, J. F. Zhang, and Z. G. Pan, 鈥淒esign of satisfaction output feedback controls for stochastic nonlinear systems under quadratic tracking risksensitive index,鈥? / Science in China (Series F), vol. 46, no. 2, pp. 126鈥?45, April 2003. CrossRef
  9. Z. J. Wu and X. J. Xie, 鈥淎daptive backstepping controller using stochastic small-gain theorem,鈥? / Automatica, vol. 43, no. 4, pp. 608鈥?20, April 2007. CrossRef
  10. X. Yu and X. J. Xie, 鈥淥utput feedback regulation of stochastic nonlinear systems with stochastic iISS inverse dynamics,鈥? / IEEE Trans. on Automatic Control, vol. 55, no. 2, pp. 304鈥?20, February 2010. CrossRef
  11. S. J. Liu and J. F. Zhang, 鈥淥utput-feedback control of a class of stochastic nonlinear systems with linearly bounded unmeasurable states,鈥? / International Journal of Robust and Nonlinear Control, vol. 18, no. 6, pp. 665鈥?87, April 2008. CrossRef
  12. N. Duan and X. J. Xie, 鈥淔urther results on outputfeedback stabilization for a class of stochastic nonlinear systems,鈥? / IEEE Trans. on Automatic Control, vol. 56, no. 5, pp. 1208鈥?213, May 2011. CrossRef
  13. C. J. Qian, 鈥淎 homogeneous domination approach for global output-feedback stabilization of a class of nonlinear systems,鈥? / Proc of Conf. American Control, pp. 4708鈥?715, 2005.
  14. C. J. Qian and W. Lin, 鈥淣on-Lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization,鈥? / System and Control Letter, vol. 42, no. 3, pp. 185鈥?00, March 2001. CrossRef
  15. J. Polendo and C. J. Qian, 鈥淎 generalized framework for global output-feedback stabilization of nonlinear systems,鈥? / Proc of the 44th IEEE Conf Decision and Control, pp. 2646鈥?651, 2005. CrossRef
  16. X. J. Xie and W. Q. Li, 鈥淥utput-feedback control of a class of high-order stochastic nonlinear systems,鈥? / International Journal of Control, vol. 82, no. 9, pp. 1692鈥?705, September 2009. CrossRef
  17. W. Q. Li, Y. W. Jing, and S. Y. Zhang, 鈥淥utput-feedback stabilization for stochastic nonlinear systems whose linearizations are not stabilizable,鈥? / Automatic, vol. 46, no. 4, pp. 752鈥?60, April 2010. CrossRef
  18. W. Q. Li, X. H. Liu, and S. Y. Zhang, 鈥淥utputfeedback stabilization of high-order stochastic nonlinear systems with more general growth conditions,鈥? / Proc. of the 30th Conf. Chinese Control, pp. 5953鈥?957, 2011.
  19. X. S. Yang, J. D. Cao, and J. Q. Lu, 鈥淪ynchronization of delayed complex dynamical networks with impulsive and stochastic effects,鈥? / Nonlinear Analysis, Series B, vol. 12, no. 4, pp. 2252鈥?266, August 2011. CrossRef
  20. J. Q. Lu, J. Kurths, J. D. Cao, N. Mahdavi, and C. Huang, 鈥淪ynchronization control for nonlinear stochastic dynamical networks: pinning impulsive strategy,鈥? / IEEE Trans. on Neural Networks & Learning Systems, vol. 23, no. 2, pp. 285鈥?92, February 2012. CrossRef
  21. J. D. Cao and J. Wang, 鈥淒elay-dependent robust stability of uncertain nonlinear systems with time delay,鈥? / Applied Mathematics and Computation, vol. 154, no. 1, pp. 289鈥?97, June 2004. CrossRef
  22. R. Z. Khas鈥檓inskii, / Stochastic Stability of Differential Equations, S&N International Publisher, Rockville, MD, 1980. CrossRef
  
• 作者单位：Long-Chuan Guo (1)
  Xin Zuo (1)
  Jian-Wei Liu (1)
  Hua-Qing Liang (1)
  
  1. Department of Automation, College of Geophysics and Information Engineering, China University of Petroleum, Beijing Campus (CUP), Changping Distinct Beijing, 102249, China
  
• ISSN：2005-4092

文摘

This paper investigates the problem of output-feedback stabilization for a class of stochastic nonlinear systems in which the nonlinear terms depend on unmeasurable states besides measurable input. We extend linear growth conditions to power growth conditions and reduce the control effort. By using backstepping technique, choosing a high-gain parameter, an output-feedback controller is designed to ensure the closed-loop system globally asymptotically stable in probability. The efficiency of the output-feedback controller is demonstrated by a simulation example.