Robust sensor faults observer design for continuous-time switched systems using descriptor approach

This paper considers the problem of designing a robust descriptor observer for simultaneous state and sensor faults estimation of continuous-time switched linear systems in the presence of unknown external disturbances. An augmented singular switched system is constructed from the original switched systems by considering the sensor faults term as a part of a new extended state vector. Stability conditions are established and formulated into H
∞
performances by minimizing the effect of external disturbance from the residual and a Lyapunov stability theory is utilized for switched system stability combined with the Average Dwell Time (ADT) concept. The observer parameter matrices are also determined by solving a convex optimization problem under Linear Matrix Inequalities (LMI) constraints. Finally, a numerical example and a Highly MAneuverable Technology (HiMAT) vehicle are investigated to prove the efficacy of the obtained results.