Integrated fault estimation and fault‐tolerant control for stochastic systems with Brownian motions

This article solves the fault estimation and fault‐tolerant control problem for discrete‐time hybrid systems containing actuator and sensor faults. A novel extended state observer is shown to estimate states and faults of systems, simultaneously. Based on the utilized estimations, a fault‐tolerant controller is proposed so that stochastic stability of closed‐loop models with H∞$$ {H}_{\infty } $$ level is analyzed and sufficient conditions are obtained. A simulation example is given to prove this proposed strategy's effectiveness.

Section: Introductionmentioning

confidence: 99%

Fault estimate and fault‐tolerant control for hybrid systems based on the extended state method

Zhu

Xia

et al. 2022

“…Faults occurring in DPSs may cause the failure of controller or undesired system response, both are harmful to the safe and reliable operation of the system. On the one hand, both model‐based 4‐6 and data‐driven 7 fault diagnosis for dynamic systems governed by ordinary differential equations (ODEs) have been investigated systematically during the last decades. On the other hand, researches focus on the fault diagnosis for DPSs are rather limited.…”

Section: Introductionmentioning

confidence: 99%

Spatio‐temporal fault localization for nonlinear spatially distributed processes: A spatial mapping filter‐based framework

Feng

Wang

et al. 2021

Compared to the fault detection problem, fault localization for spatially distributed processes is physically intuitive but was seldom studied. The main challenge lies in the contradiction between the spatially distributed nature of the processes and a limited number of sensors that can be placed in the space for applications. In this article, we make the first attempt to systematically study the fault localization problem for a class of nonlinear spatially distributed processes without knowing any prior information of the spatial distribution function of the spatio‐temporal fault. The main contribution is that a spatial mapping filter is first designed to generate a distributed residual signal which contains spatial information while using limited sensor measurements. The residual evaluation procedure is also conducted in a distributed manner. With these two parts, a systematic methodology framework is constructed and analyzed rigorously. Finally, the performance of the proposed method is evaluated on a faulty catalytic rod, which widely exists in chemical engineering.

“…Thus, fault diagnosis (FD) plays an increasingly important role 10,11 . It is worth pointing out that fault estimation (FE) method is one of the most common and essential FD methods 12 . By means of FE, the shapes and positions of the faults can be got.…”

Section: Introductionmentioning

confidence: 99%

Fault estimation and tolerant control for discrete‐time nonlinear stochastic multiple‐delayed systems with intermittent sensor and actuator faults

Sun

Dai

Cai

et al. 2020

This article is concerned with the design of the observer and controller to perform fault estimation (FE) and fault tolerant control for the discrete-time nonlinear stochastic systems with multiple time-varying state delays and intermittent sensor and actuator faults. In comparison with the present research, the method addressed in this article is more flexible and feasible. A novel adaptive descriptor observer is developed to obtain the error dynamics and then realize n-step FE. Then, an active observer-based controller is constructed to stabilize the closed-loop system. Moreover, an augmented closed-loop system is acquired and a series of delay-dependent sufficient conditions are collected by the delay-dependent Lyapunov function utilizing linear matrix inequalities. The method is less conservative compared with the ones of the existence. At last, a simulation example is presented to demonstrate the advantages and effectiveness of the approach proposed in the article.