Distributed finite-time fault estimation and fault-tolerant control for cyber-physical systems with matched uncertainties

Highlights：

• A DFTCr based on the integral SMC is designed to compensate the effect of faults on the interconnected CPSs, in which the sliding surface function does not include the system parameters, which makes the design more flexible. Moreover, compared with the existing research [23, 28], the controller in this paper does not need to give the limited assumption of pseudo inverse.

• The FTB-H∞ performance with nonzero initial conditions of CPSs is ensured by employing a new Lyapunov functional approach. Compared with the matched nonlinear function with known upper bounded conditions in [29], and measurable states [32], our works are more general and practical.

摘要

•A novel finite-time DFEO is designed to estimate more general faults in all subsystems of CPSs based on the distributed functional observer with an adaptive compensator. Not only the order and complexity of observer are reduced, but also the unknown parameters of matched uncertainties are adaptively learned to improve the convergence and precision of observer. Both the transient performance in finite time and H∞ disturbance attenuate performance of CPSs are achieved.•A DFTCr based on the integral SMC is designed to compensate the effect of faults on the interconnected CPSs, in which the sliding surface function does not include the system parameters, which makes the design more flexible. Moreover, compared with the existing research [23, 28], the controller in this paper does not need to give the limited assumption of pseudo inverse.•The FTB-H∞ performance with nonzero initial conditions of CPSs is ensured by employing a new Lyapunov functional approach. Compared with the matched nonlinear function with known upper bounded conditions in [29], and measurable states [32], our works are more general and practical.