Delay-Partitioning Approach to State and Sensor/Actuator Fault Estimation for T-S Fuzzy Systems with Time-Delay
Résumé
This brief studies the problem of state and fault
estimation for Takagi-Sugeno (T-S) fuzzy systems with time delay
subject to simultaneously sensor/actuator faults and external
disturbances. By extending the sensor faults as an auxiliary state
vector, the original system is transformed into an augmented
descriptor system. Adaptive Observer is proposed to achieve a
simultaneous estimation of descriptor system states, actuator and
sensor faults using the constrained H1 norm optimization. Based
on the Lyapunov functional method and delay-partitioning technique,
delay-dependent design conditions of the fuzzy observer
are derived in terms of linear matrix inequalities (LMIs). An
example is finally presented to validate our findings.