Journal of Northeastern University(Natural Science)

Journal of Northeastern University ›› 2007, Vol. 28 ›› Issue (6): 773-776.DOI: -

• OriginalPaper • Previous Articles     Next Articles

Control for nonlinear discrete singular systems

Yi, Na (1); Yang, Dong-Mei (1); Zhang, Qing-Ling (1); Li, Qin (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-06-15 Published:2013-06-24
  • Contact: Yi, N.
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Abstract: The design of state feedback H∞ controller is discussed for nonlinear discrete singular systems. By means of generalized Lyapunov function and linear matrix inequality (LMI), the asymptotical stability with zero solution is studied for the system, and a sufficient condition is given such that the system is asymptotically stable with zero solution and also a H∞ norm constraint. And a state feedback H∞ controller is designed to guarantee the performance of the resultant closed-loop system. A numerical example is given to illustrate the feasibility and validity of the conclusion drawn.

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