Fault decomposition-based convergent FE and FTC for Lipschitz nonlinear systems

• Published in: Nonlinear dynamics Vol. 111; no. 13; pp. 12389 - 12404
• Main Authors: Wang, Hong-Jun, Huang, Sheng-Juan
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.07.2023; Springer Nature B.V
• Subjects: Accuracy; Actuators; Automotive Engineering; Classical Mechanics; Control; Convergence; Decomposition; Design; Dynamical Systems; Engineering; Estimates; Fault diagnosis; Fault tolerance; Faults; Linear transformations; Mathematical analysis; Mechanical Engineering; Nonlinear control; Nonlinear systems; Original Paper; Output feedback; Perturbation; Sensors; Vibration; Iterative estimation observers; Fault estimation; LMI-based stability condition; FTC; Nonlinear systems
• DOI: 10.1007/s11071-023-08455-1
• ISSN: 0924-090X

The problem of fault estimation and fault-tolerant control for Lipschitz nonlinear systems subject to actuator and sensor faults is investigated in this paper. Different from the lower triangular matrix linear transformation method in the literature, a fault decomposition technique is proposed to design a set of relaxed iterative observers, so as to derive the iterative estimates for the state and multi-fault. It can be proved that in certain condition, the obtained mean sequence of estimates converge to the true values of state and multi-faults as the number of iterations increases. A perturbation coefficient matrix-dependent LMI condition that guarantees the states of the obtained error dynamics to be uniformly ultimately bounded is proposed, which can degenerate into the traditional ones in the literature by tuning the perturbation coefficient matrix. Based on the obtained final estimation of multi-faults, an output feedback FTC is designed to stabilize the Lipschitz nonlinear system. The longitudinal dynamics of an aircraft is applied to test the proposed method.