Quantified Guaranteed Cost Fault-Tolerant Control for Continuous-Time Fuzzy Singular Systems With Sensor and Actuator Faults

In this article, the problem of quantified guaranteed cost fault-tolerant control for continuous-time fuzzy singular systems with sensor and actuator faults is studied. The system nonlinearity is approximated by the Takagi-Sugeno (T–S) fuzzy model. Considering the multiple signal dynamic quantization and the composite faults, based on the augmented fuzzy system and constructed dynamic system, the intermediate observer and fault-tolerant controller are constructed to make the fuzzy quantified closed-loop control system mean-square admissible and meet the expected guaranteed cost performance index. By introducing Lyapunov function and some lemmas, the sufficient design conditions of fault-tolerant controller are proposed in the light of linear matrix inequalities representations. Finally, a DC motor driving model will be given to show the efficiency of the proposed design methods.