Simultaneous actuator and sensor faults reconstruction for Lipschitz nonlinear systems

This paper proposes simultaneous actuator and sensor faults reconstruction study for a class of uncertain Lipschitz nonlinear systems. This approach is used to reconstruct both actuator and sensor faults when this later is transformed into pseudo-actuator faults by introducing a simple filter. The main contribution is to develop a Sliding Mode Observer (SMO) to solve the problem of simultaneous faults. A sufficient stability conditions are achieved with H
_∞
performances by solving the convex multiobjective optimisation problem. Simulation example is given to illustrate the proposed SMO performances of both states, actuator and sensor faults estimation.