4.8 Article

Design of Static Output Feedback Sliding Mode Control for Uncertain Linear Systems

期刊

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
卷 57, 期 6, 页码 2161-2170

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIE.2009.2033485

关键词

Linear matrix inequalities (LMIs); mismatched uncertain systems; sliding mode control (SMC); static output feedback

资金

  1. National Natural Science Foundation of China [60974011]
  2. Program for New Century Excellent Talents in University of Peoples Republic of China [NCET-08-0047]
  3. Excellent Young Scholars Research Fund of Beijing Institute of Technology [2008YS0104]

向作者/读者索取更多资源

This paper considers the problem of designing a sliding mode controller via static output feedback for a class of uncertain systems with mismatched uncertainty in the state matrix. First, we derive a new existence condition of linear sliding surface in terms of strict linear matrix inequalities (LMIs) and propose an adaptive reaching control law such that the motion of the closed-loop system satisfies the reaching condition. Second, we further consider the delay-type switching function, and a new robust stability condition is given in terms of LMIs for the reduced-order sliding mode dynamics. Then, a synthesis procedure is established to design the sliding surface parameters. Finally, three examples, including an aircraft model, are utilized to illustrate the design procedures proposed in this paper.

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