Robust adaptive fault-tolerant control of uncertain linear systems via sliding-mode output feedback

Abstract

SUMMARYThis paper is concerned with the robust adaptive fault-tolerant compensation control problem via slidingmode output feedback for uncertain linear systems with actuator faults and exogenous disturbances. Mismatched disturbance attenuation is performed via H 1 norm minimization. By incorporating the matrix full-rank factorization technique with sliding surface design successfully, the total failure of certain actuators can be coped with, under the assumption that redundancy is available in the system. Without the need for a fault detection and isolation mechanism, an adaptive sliding mode controller, where the gain of the nonlinear unit vector term is updated automatically to compensate the effects of actuator faults, is designed to guarantee the asymptotic stability and adaptive H 1 performance of closed-loop systems. The effectiveness of the proposed design method is illustrated via a B747-100=200 aircraft model.

Aero‐Engine DCS Fault‐Tolerant Control with Markov Time Delay Based On Augmented Adaptive Sliding Mode Observer

“…I. I), yields (37). Actually, it is often difficult to solve matrix Η which satisfies the constraint condition (17). So it is necessary to transform it into the following inequality constraints…”

“…Consider the adaptive sliding mode observer parameters η 0 = 10, η 1 (0) = 0.1, β = 0.3, and α = 0.5, the augment singular system is obtained by (6). Defined L v = E, then we can obtain the optimal solution as ε 1 = 1.0186, ε 2 = 0.2837 according to (38) Then the sliding mode observer is obtained by (12), (17), and (18), and the sliding controller parameter matrix is defined as. To validate the performances of the proposed approach described in the previous section, a basic sliding mode observer for the system is present for comparison purposes.…”

Reliable sliding mode finite‐time control for discrete‐time singular Markovian jump systems with sensor fault and randomly occurring nonlinearities

“…The problem of fault estimation and fault‐tolerant control against sensor failures is investigated in Liu and Shi for a class of nonlinear systems with simultaneous input and output disturbances. The robust adaptive fault‐tolerant compensation control problem was concerned in Hao and Yang for uncertain linear systems with actuator faults and exogenous disturbances. Fault‐tolerant control is a controlling technique that provides the ability to maintain stable system and acceptable performance in the event of component failures.…”

Fault tolerant control of uncertain dynamical systems using interval virtual actuators

“…This problem has been considered also in the design of FTC systems, giving rise to robust fault diagnosis and robust FTC strategies. For example, Hao et al have presented a robust adaptive fault tolerant compensation control via sliding‐mode output feedback for uncertain systems with actuator faults and exogenous disturbances, where mismatched disturbance attenuation is performed via norm minimization. Lan et al have proposed an integrated fault estimation and FTC design for Lipschitz nonlinear systems subject to uncertainty, disturbance, and actuator/sensor faults.…”