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时滞系统的输出反馈滑模控制的一种奇异系统方法

刘月 马树萍

刘月, 马树萍. 时滞系统的输出反馈滑模控制的一种奇异系统方法. 自动化学报, 2013, 39(5): 594-601. doi: 10.3724/SP.J.1004.2013.00594
引用本文: 刘月, 马树萍. 时滞系统的输出反馈滑模控制的一种奇异系统方法. 自动化学报, 2013, 39(5): 594-601. doi: 10.3724/SP.J.1004.2013.00594
LIU Yue, MA Shu-Ping. A Singular System Approach to Output Feedback Sliding Mode Control for Time-delay Systems. ACTA AUTOMATICA SINICA, 2013, 39(5): 594-601. doi: 10.3724/SP.J.1004.2013.00594
Citation: LIU Yue, MA Shu-Ping. A Singular System Approach to Output Feedback Sliding Mode Control for Time-delay Systems. ACTA AUTOMATICA SINICA, 2013, 39(5): 594-601. doi: 10.3724/SP.J.1004.2013.00594

时滞系统的输出反馈滑模控制的一种奇异系统方法

doi: 10.3724/SP.J.1004.2013.00594
详细信息
    通讯作者:

    马树萍

A Singular System Approach to Output Feedback Sliding Mode Control for Time-delay Systems

  • 摘要: 利用一种奇异系统方法讨论了时滞系统的输出反馈滑模控制问题. 时滞系统的非线性项满足范数有界约束.首先,将滑动模态与线性切换面作为一个奇异时滞系统,基于奇异时滞系统的稳定性理论, 给出滑动模态稳定及切换面存在的线性矩阵不等式(Linear matrix inequality, LMI)充分条件.然后,给出使得系统闭环渐近稳定的静态输出反馈滑模控制器的设计方法,此控制器保证闭环 系统有限时间到达切换面.最后,用数值算例验证本文方法的有效性和正确性.
  • [1] Xu S Y, Lam J. Robust Control and Filtering of Singular Systems. Berlin: Springer, 2006[2] Zhu S Q, Zhang C H, Cheng Z L, Feng J E. Delay-dependent robust stability criteria for two classes of uncertain singular time-delay systems. IEEE Transactions on Automatic Control, 2007, 52(5): 880-885[3] Han X R, Fridman E, Spurgeon S K, Edwards C. On the design of sliding-mode static-output-feedback controllers for systems with state delay. IEEE Transactions on Industrial Electronics, 2009, 56(9): 3656-3664[4] Wu L G, Zheng W X. Passivity-based sliding mode control of uncertain singular time-delay systems. Automatica, 2008, 45(9): 2120-2127[5] Niu Y G, Ho D W C, Lam J. Robust integral sliding mode control for uncertain stochastic systems with time-varying delay. Automatica, 2005, 41(5): 873-880[6] Yan X G, Spurgeon S K, Edwards C. Sliding mode control for time-varying delayed systems based on a reduced-order observer. Automatica, 2010, 46(8): 1354-1362[7] Mahmoud M S, Qureshi A. Decentralized sliding-mode output-feedback control of interconnected discrete-delay systems. Automatica, 2012, 48(5): 808-814[8] Utkin V I. Sliding Modes in Control and Optimization. New York: Springer-Verlag, 1992[9] Gao Wei-Bing. Theory and Design Methods of Variable Structure Control. Beijing: Science Press, 1996 (高为炳. 变结构控制的理论及设计方法. 北京: 科学出版社, 1996)[10] Edwards C, Spurgeon S K. Sliding mode stabilization of uncertain systems using only output information. International Journal of Control, 1995, 62(5): 1129-1144[11] Zhang J H, Xia Y Q. Design of static output feedback sliding mode control for uncertain linear systems. IEEE Transactions on Industrial Electronics, 2010, 57(6): 2161-2170[12] Zhang J H, Shi P, Xia Y Q. Robust adaptive sliding-mode control for fuzzy systems with mismatched uncertainties. IEEE Transactions on Fuzzy Systems, 2010, 18(4): 700-711[13] Zhu Z, Xia Y Q, Fu M Y. Adaptive sliding mode control for attitude stabilization with actuator saturation. IEEE Transactions on Industrial Electronics, 2011, 58(10): 4898-4907[14] Nguyen T, Su W C, Gajic Z. Output feedback sliding mode control for sampled-data systems. IEEE Transactions on Automatic Control, 2010, 55(7): 1684-1689[15] Ma S P, Boukas E K. A singular system approach to robust sliding mode control for uncertain Markov jump systems. Automatica, 2009, 45(11): 2707-2713[16] Wu L G, Ho D W C. Sliding mode control of singular stochastic hybrid systems. Automatica, 2010, 46(4): 779- 783[17] Nguyen T, Su W C, Gajic Z. Variable structure control for singularly perturbed linear continuous systems with matched disturbances. IEEE Transactions on Automatic Control, 2012, 57(3): 777-783[18] Xie L, de Sauza C E. Robust H_∞ control for linear systems with norm-bounded time-varying uncertainty. IEEE Transactions on Automatic Control, 1992, 37(8): 1285-1191[19] Han Q L. Absolute stability of time-delay systems with sector-bounded nonlinearity. Automatica, 2005, 41(12): 2171-2176
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出版历程
  • 收稿日期:  2012-05-15
  • 修回日期:  2012-09-22
  • 刊出日期:  2013-05-20

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