An LMI approach to Mixed H_∞/H_- fault detection observer design for linear fractional-order systems

Abstract

This study deals with the problem of robust fault detection for linear timeinvariant fractional-order systems (FOSs) assumed to be affected by sensor, actuator and process faults as well as disturbances. The observer-based method was employed to solve the problem, where the detector is an observer. The problem was transformed into the mixed 𝐻 ∞ /𝐻 − robust optimization problem to make the system disturbance-resistant on one hand and fault-sensitive on the other hand. Then, sufficient conditions were obtained to solve the problem in the linear matrix inequality (LMI) mode.Finally, the effectiveness and superiority of the method were demonstrated by simulating the solutions on a single-input multi-output thermal testing bench.

Study of the performance of fault-tolerant multi-level inverter included in shunt active power filter

“…The topology of the used multi-level inverter of the SAPF is considered as a very important solution to increase the produced energy while improving its quality [20]- [22], because it allows in increasing the number of phases [23] and/or its switches, and has big possibility of applying the several different control methods such as (pulse width modulation (PWM) and space vector pulse width modulation (SVPWM)) on its switches [24]- [28]. The large number of semiconductors (IGBTs) is required for the realization of this type of multilevel inverter, however, the several possibilities of faults that may happen in the semiconductors can reduce its reliability [29]- [31]. The majority of faults that occur in the multi-level inverter are either in its switches or its control, for this it can be said that the reliability of power electronics becomes a serious problem [32], [33].…”