Robust satisfactory fault-tolerant control of uncertain linear discrete-time systems: an LMI approach

Abstract

Fault-tolerant control is an important issue in practical systems. Based on satisfactory control and estimation theory, a passive fault-tolerant control strategy is proposed for a class of uncertain linear discrete-time systems in this article. Manipulating linear matrix inequality (LMI) technique, robust fault-tolerant state-feedback controllers are designed which take the possible actuator faults and sensor faults into consideration, respectively. The closed-loop systems are guaranteed by the designed controllers to meet the required constraints on regional pole index φ(q, r), steady-state variance matrix X index and control-cost function V ²(u) index simultaneously. Then, whether possible faults occur or not, the closed-loop systems would maintain the three desirable performance indices accordingly. Meanwhile, the consistency of the performance indices mentioned earlier is also discussed for fault-tolerant control.

Keywords:

• Consistency
• Fault tolerance
• LMI
• Satisfactory control and estimation
• Uncertain linear discrete-time systems

Acknowledgements

The authors would like to thank the anonymous reviewers for their valuable advice that have improved the presentation. This work is supported by the National Natural Science Foundation of P. R. China under Grants 60234010 and 60574082.