Dual fault‐tolerant control for a class of stochastic systems with partial loss‐of‐control effectiveness

Abstract

Loss-of-control effectiveness is a common fault in the engineering field. In the existing adaptive fault-tolerant control algorithms, observers and Lyapunov functions are often used to estimate fault parameters. However, they can only ensure the convergence of fault parameters as time goes to infinity. This leads to the fact that the controller can only play a better fault-tolerant role in the steady-state process, and cannot guarantee the system performance in the transient state. Therefore, a dual fault-tolerant control (DFTC) algorithm is proposed for a class of stochastic systems with partial loss-of-control effectiveness. The algorithm introduces a fault-tolerant objective on the basis of the control objective. By establishing a new objective function, the controller is forced to have the characteristics of active learning to improve the transient performance of the fault system. An example simulation verifies the validity of DFTC. The simulation results show that DFTC can drive the system to the desired output, especially when partial loss-of-control efficiency occurs in the system, it can learn the unknown parameters actively, quickly, and accurately, which is significantly better than the conventional control based on the certainty equivalence principle and improves the reliability of the system.

Observer‐based finite‐time adaptive fault‐tolerant control for nonlinear system with input delay and prescribed performance

“…In recent years, fault‐tolerant control has received considerable attention. The fault‐tolerant control schemes have been proposed in References 4‐10. An adaptive output feedback fault‐tolerant control strategy for non‐affine nonlinear systems with unmeasurable states was proposed in Reference 4.…”

“…Based on the adaptive observer, a fast adaptive fault estimation algorithm for Markov jump systems was proposed by using the backstepping method in Reference 6. Recently, in References 7 and 8, the adaptive control schemes have emerged for stochastic nonlinear systems with actuator failures. In References 9 and 10, the actuator fault problem of nonlinear interconnected large‐scale systems was studied, and a decentralized control strategy was proposed to solve the actuator fault.…”