Fault-tolerant control can improve system's reliable effectively. The essential character of fault-tolerant technology is that fault-tolerant controller can make system run in a safe state and satisfy given performance requirements when faults happen. Generally, system should keep steady when faults happen. So, there have been considerable amounts of researches in the field of stabilization, but the research on fault-tolerant control with multi-indices constraint is less studied. This paper attempts to study the satisfactory fault-tolerant control with multi-indices constraint. Based on the consistency theory of satisfactory fault-tolerant control, the design method of controller is brought forward. The main contents of this paper can be outlined as follows:1) The design method of satisfactory fault-tolerant controller is studied. Consistency theory on pole index, steady variance index and H∞ robust performance index are analyzed via LMI approach for linear continuous-time systems under state feedback and satisfactory control thought. And effective controller design methods are provided based on the consistency theory.2) The design method of satisfactory fault-tolerant controller is studied. Consistency theory on pole index, steady variance index and H∞ robust performance index are analyzed via LMI approach for linear discrete-time systems under state feedback. On the premise of system integrity, ranges of consistent indices and effective controller design method for system are provided.3) The problem of reliable system design for linear uncertain systems with pole index, steady variance index and H∞ robust performance index is discussed. A more practical and general model of actuator failures is adopted. Based on LMI approach, ranges of consistent indices are discussed, and effective controller design methods are provided besed on the consistency theory.At last, this paper analyzes the existent problems in this field, and indicates the direction for forward research. |