Integrated LPV controller/estimator scheme using sliding modes

In this paper, an integrated linear parameter-varying (LPV) sensor fault tolerant control scheme is proposed, wherein the design freedom in the LPV sliding mode observer component and the LPV controller gains are selected simultaneously, which allows the problem of robust stability and robust control performance to be addressed in one step. In the proposed scheme, the sensor fault is reconstructed and used to correct the corrupted sensor measurements before they are used by the controller, and therefore the controller is fault tolerant. An iterative linear matrix inequality (LMI) based algorithm is proposed to diagonalize the Lyapunov matrix in each iteration, and thus the NP-hard, non-convex linear parameter-varying bilinear matrix inequality (LPV/BMI) Bounded Real Lemma problem, is formulated into a tractable convex LPV/LMI problem. A benchmark scenario involving the loss of the angle of attack sensor is used as a case study.