Journal of Systems Engineering and Electronics ›› 2010, Vol. 21 ›› Issue (3): 496-502.doi: 10.3969/j.issn.1004-4132.2010.03.022

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Robust H∞ guaranteed cost satisfactory fault-tolerant control for discrete-time systems with quadratic D stabilizability

Xiaodong Han1, 2,*, Jiangong Liu1, Dexiao Xie2, Dengfeng Zhang2, and Zhiquan Wan   

  1. 1. Institute of Telecommunication Satellite, China Academy of Space Technology, Beijing 100094, P. R. China;
    2. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, P. R. China
  • Online:2010-06-23 Published:2010-01-03


The problem of robust H∞ guaranteed cost satisfactory fault-tolerant control with quadratic D stabilizability against actuator failures is investigated for a class of discrete-time systems with value-bounded uncertainties existing in both the state and control input matrices. Based on a more practical and general model of actuator continuous gain failures, taking the transient property, robust behaviour on H∞ performance and quadratic cost performance requirements into consideration, sufficient conditions for the existence of satisfactory fault-tolerant controller are given and the effective design steps with constraints of multiple performance indices are provided. Meanwhile, the consistency of the regional pole index, H∞ norm-bound constraint and cost performance indices is set up for fault-tolerant control. A simulation example shows the effectiveness of the proposed method.