Journal of Northeastern University(Natural Science)

Journal of Northeastern University ›› 2005, Vol. 26 ›› Issue (11): 4-7.DOI: -

• OriginalPaper •     Next Articles

Hybrid guaranteed cost control with quadratic stability for a class of uncertain discrete systems

Sun, Wen-An (1); Feng, Jia-Xin (2); Fu, Jun (1); Zhao, Jun (1)   

  1. (1) Key Laboratory of Process Industry Automation, Northeastern University, Shenyang 110004, China; (2) School of Information Management and Engineering, Shanghai University of Finance and Economics, Shanghai 200433, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2005-11-15 Published:2013-06-24
  • Contact: Sun, W.-A.
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Abstract: Discusses hybrid state feedback guaranteed cost control with quadratic stability for a class of uncertain discrete systems of which the state matrix contains time-varying uncertainties. Assuming that there is a limited number of candidate controllers with known gain matrices and using the common Lyapunov function, a sufficient condition is derived to hybrid guaranteed cost control with quadratic stability under arbitrary switching laws. Then, based on the single Lyapunov function method, relevant sufficient conditions and conceptual design of switching rule are both given. A simulation demonstrated the effectiveness of the proposed method.

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