Set‐valued observer‐based active fault‐tolerant model predictive control

Abstract

This paper proposes an integrated actuator and sensor active fault-tolerant model predictive control (FTMPC) scheme. In this scheme, fault detection (FD) is implemented by using a set-valued observer, fault isolation (FI) is done by set manipulations and faulttolerant control (FTC) is carried out through the design of a robust model predictive control (MPC) law. In this paper, a set-valued observer is used to passively complete the FD task while FI is actively performed by making use of the constraint-handling capability of robust MPC. The set-valued observer is chosen to implement fault detection and isolation (FDI) due to its simple mathematical structure that is not affected by the type of faults such as sensor, actuator and system-structural faults. This means that only one set-valued observer is needed to monitor all considered actuator and sensor statuses (health and fault) and to carry out the FDI task instead of using a bank of observers (each observer matching a health/fault status). Furthermore, in the proposed scheme, the advantage of robust MPC is that it can effectively deal with system constraints, disturbances and noises and allow to implement an active FI strategy, which can improve FI sensitivity when compared with the passive FI methods. Finally, a case study based on the well-known two-tank system is used to illustrate the effectiveness of the proposed FTMPC scheme.

Probability-Based Robust Stochastic Predictive Fault-Tolerant Control for Industrial Processes With Actuator Failures and Interval Time-Varying Delays

“…For the previous FTC methods, no matter whether the fault of system occurs or not, a FTC control law is always used, which leads to the waste of resources. However, in formula (17), the SRPFTC law is deigned to update the corresponding control law according to the probability of failure of the actuator and to ensure that the system has better tracking performance under different probabilities. This scheme applied in practical industrial production can save the waste of resources and energy.…”

“…Wang et al [16] investigated the tracking and optimized questions for the industrial processes by using the output feedback FTC and MPC method. Xu et al [17] proposed an active fault-tolerant MPC strategy for the system with actuator and sensor failures. In this strategy, fault detection is implemented by utilizing a set-valued observer, fault isolation is performed by setting manipulations, and FTC is carried out based on the designed robust MPC law.…”

Distributed Fault-Tolerant Control of Large-Scale Systems: An Active Fault Diagnosis Approach

“…The typical main limitation of active FDI techniques concerns high computational cost and complexity [24], [25]. This drawback restricts the applicability of this approach to low-dimensional systems [25], [26], [27], [28], [29], even though some approaches have been suggested in the literature to alleviate the computational complexity (see as example [23]).…”

Stochastic fuzzy predictive fault‐tolerant control for time‐delay nonlinear system with actuator fault under a certain probability

“…In Reference 20, the adaptive fault estimation algorithm was adopted, and its asymptotical stability and H ∞ performance of the filtering error system were guaranteed. However, compared with other algorithms such as adaptive control, fault-tolerant control (FTC) [21][22][23][24][25] is more successful method for resolving faults in industrial processes, especially in the study of actuator faults. 26,27 For industrial production processes with nonlinear, time-varying delays and actuator faults, a robust H∞ reliable control law based on the T-S model 28 was solved by the design of single-step linear matrix inequality (LMI) conditions.…”