Journal of Northeastern University ›› 2004, Vol. 25 ›› Issue (7): 613-616.DOI: -

• OriginalPaper •     Next Articles

Reliable control with variance constraints for linear uncertain systems

Wang, Fu-Zhong (1); Yao, Bo (2); Jing, Yuan-Wei (1); Zhang, Si-Ying (1)   

  1. (1) Sch. of Info. Sci. and Eng., Northeastern Univ., Shenyang 110004, China; (2) Sch. of Math. and Syst. Sci., Shenyang Normal Univ., Shenyang 110034, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2004-07-15 Published:2013-06-24
  • Contact: Wang, F.-Z.
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Abstract: The design of state feedback reliable control of linear uncertain system is studied. The reliable control guarantees the closed-loop poles within a specified area and steady-state variance. A more practical and common actuator fault model than outage is adopted. Using linear matrix inequalities (LMI) approach, the existence conditions of such reliable controller are derived without introducing additional conservation. A acceptable variance upper bound is guaranteed in case of actuator fault, and the performance index is optimized in the normal case. An example is given to illustrate the proposed design procedure. Simulation results show the effectiveness of the design method. The normal controller and the reliable controller are compared to show the necessity of reliable control.

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