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

Authors:
Dengfeng Zhang;Zhiquan Wang;Shousong Hu
Affiliations:
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, PR China;School of Automation, Nanjing University of Science and Technology, Nanjing, PR China;College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, PR China
Venue:
International Journal of Systems Science
Year:
2007

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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 ø(q, r), steady-state variance matrix X index and control-cost function V2(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.