Journal of Northeastern University ›› 2010, Vol. 31 ›› Issue (6): 761-764.DOI: -

• OriginalPaper •     Next Articles

A new approach to static output feedback control for singular systems

Shi, Shu-Hui (1); Zhang, Qing-Ling (1); Yang, Chun-Yu (2); Yuan, Zhong-Hu (3)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China; (2) Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyang 110004, China; (3) School of Information Engineering, Shenyang University, Shenyang 110044, China
  • Received:2013-06-20 Revised:2013-06-20 Online:2010-06-15 Published:2013-06-20
  • Contact: Shi, S.-H.
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Abstract: A new and simple method is proposed to design the static output feedback controller for singular systems. The bilinear inequality including Lyapunov matrix and output feedback gain matrix is decoupled by introducing an auxiliary matrix variable and, combining with the variable substitution method, the bilinear inequality and the non-strict inequality including Lyapunov matrix are transformed into a linear matrix inequality (LMI). In this way, the sufficient conditions are available to the admissibility of closed-loop singular system. An output feedback controller is given. A numerical example is given to show the effectiveness of the method proposed, which is easy to extend to the static output feedback control of normal systems.

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