Simultaneous Fault Detection And Control Research Articles

A resilient approach for simultaneous fault detection and control for a class of nonlinear systems

The simultaneous fault detection and control (SFDC) has emerged as a reliable scheme. However, what happens when the designed structure undergoes changes? Such variations have the potential to cause instability and misdiagnosis. This paper delves into a cutting-edge SFDC structure that surpasses conventional designs in terms of reliability. The proposed Resilient Simultaneous Fault Detection and Control (RSFDC) structure considers variations in the designed parameters and provides a more robust and fault-tolerant approach to SFDC, with important implications for the design of reliable and resilient control systems in a broad range of applications. This scheme is formulated as a multi-objective optimisation problem, encompassing control and diagnosis objectives. Specifically, it aims to minimise the impact of faults and disturbances on the controlled output while reducing residual sensitivity to all changes and maximising the fault effects on the residual. Through simulation comparisons, this paper showcases the merits of the RSFDC structure in two examples, highlighting its superiority over other designs.

Simultaneous fault detection and robust control for a dynamic observer-based switched time delay systems with car roll dynamic application

In this study, the issue of simultaneous fault detection and control (SFDC) for a class of switched linear systems with input and state delays is being addressed. A detector/controller unit (dynamic observer/observer-based controller) is suggested for a residual generation that simultaneously takes into account the control and fault detection objectives using specific performance indices. It is assumed that the delay will fluctuate within a range with a lower bound that is not zero. Based on a Lyapunov–Krasovskii functional (LKF), and thanks to the free-weighting matrix and projection lemma, a new sufficient condition for developing a new method is put forth in terms of a set of linear matrix inequalities (LMIs). To illustrate how well the suggested results work, the proposed method is applied to a vehicle roll dynamic.

Simultaneous fault detection and control design for DC–AC converter with a neutral leg based on dynamic observer

In this paper, the problem of simultaneous fault detection and control (SFDC) for a 3-phase 4-wire converter with neutral bridge arm, which is commonly used in the application of smart grid and distributed generation, is considered. By employing a detector/controller module consisting of a dynamic observer and a state feedback controller based on the dynamic observer, a multi-objective H∞ optimization SFDC framework is established to achieve the fault detection and control objectives simultaneously. Extended linear matrix inequalities (LMIs) characterizations are obtained as the strict conditions for solvability of the SFDC problem. The proposed method can reduce the designing conservativeness and overcome the shortcoming of existing SFDC methods by applying the superiority of dynamic observer. The achievable performance is analyzed quantitatively and the effectiveness of our designing method was illustrated and verified both in simulation and the hardware-in-the-loop(HIL) simulation which is conducted in a real-time simulation platform built by StarSim and MT respectively.

Distributed Fault Detection and Control for Markov Jump Systems Over Sensor Networks With Round-Robin Protocol

This paper addresses the problem of simultaneous fault detection and control (SFDC) for Markov jump systems (MJSs) over sensor networks. In order to save the bandwidth of the network, round-Robin protocol is adopted for the communication between the sensors and fault detection filter. First, to fully utilize the data of sensor networks, a new distributed system is developed especially for SFDC, and a residual system, which integrates the MJSs with the distributed SFDC system, is also established. Then, by constructing a mode-dependent Lyapunov functional, the conditions for distributed SFDC are derived, which can make the residual system asymptotically mean-square stable and meanwhile satisfy the prescribed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance requirements. Finally, comparison analyses are made by examples to illustrate the effectiveness and superiority of the proposed new design approach.

Simultaneous Fault Detection and Control for Continuous-Time Switched Takagi–Sugeno Fuzzy Systems With State Jumps

AbstractThis article addresses the simultaneous fault detection and control (SFDC) issue for switched Takagi–Sugeno (T–S) fuzzy systems with state jumps. The main objective is to design robust detection filters and observer-based controllers to stabilize this system class and, at the same time, detect the presence of faults. Less conservative stability conditions are developed, applying the mode-dependent average dwell time (MDADT) concept, the robust H∞ approach, and the piecewise Lyapunov function (PLF) technique. Based on these conditions, the integrated controller and detector design is formalized in the form of linear matrix inequalities (LMI) instead of bilinear matrix inequalities (BMI). The proposed LMIs determine the controller/detector gains simultaneously in a single step, thus offering more degrees-of-freedom in the design. Finally, a numerical example and two real systems are studied to prove the applicability and effectiveness of the obtained results.

Event-triggered distributed fault detection and control of multi-weighted and multi-delayed large-scale systems

This paper addresses the problem of distributed simultaneous fault detection and control (SFDC) of multi-weighted and multi-delayed (MWMD) large-scale interconnected systems which are subjected to event-triggered communication, nonlinear perturbations, measured output quantization, redundant channels, and stochastic deception attacks. The large-scale systems under consideration have multiple coupling links between neighboring subsystems, and all the links are considered to have different coupling weights and delays. A distributed fault detector and controller (FDC) module is designed to guarantee the exponential mean square stability of the overall closed-loop system along with a prescribed extended dissipative control performance and H∞ fault detection performance. The gain parameters of the distributed fault detector and controller module are determined by using the cone complementarity linearization (CCL) algorithm. In the end, a numerical example involving a continuous stirred tank reactor (CSTR) system is described to prove the validity of the presented results.

$H_2$ /$H_\infty$ Simultaneous Fault Detection and Control for Markov Jump Linear Systems With Partial Observation

We focus on the Simultaneous Fault Detection and Control (SFDC) in the context of Markov Jump Linear Systems (MJLS). The main novelty of the paper is the design of H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> and H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> SFDC under the MJLS framework considering partial observation of the Markov chain. Both designs are obtained via Bilinear Matrix Inequalities optimization problem. As secondary results we provide a Mixed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> /H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> SFDC under the same set up, as well as the implementation of a coordinated descent algorithm to solve the optimization problem formulated as Bilinear Matrix Inequalities (BMI). To illustrate the viability of the proposed solution a numerical example is provided.

Simultaneous Fault Detection and Control Design for Linear Fractional-Order Systems

The focus of this paper is the analysis and design scheme of simultaneous fault detection and control (SFDC) for linear continuous-time fractional-order systems assumed to be affected by sensor, actuator and process faults as well as disturbances. In essence, this simultaneous design unifies both the control and the detection modules into a single unit that is called the controller/detector unit. This unit is designed such that it generates two signals, namely the residual and the control signals. The system can be stabilized using the control signal, and the residual signals can detect the fault based on model-based fault detection and isolation algorithms. The SFDC module should be designed so that the effects of faults and disturbances on the residual signals are maximized and minimized, respectively. To this end, the SFDC problem is formulated as the mixed $$H_{ - } /H_{\infty }$$ optimization problem. Stability and fault detection are both considered through certain performance indices, and new sufficient conditions in the form of linear matrix inequalities are obtained. Finally, some simulation examples are given to illustrate the effectiveness of the proposed design method.

Simultaneous fault detection and control for continuous-time Markovian jump systems with partially unknown transition probabilities

This paper focuses on the problem of the simultaneous fault detection and control (SFDC) for continuous-time Markovian jump systems (MJSs) with partially unknown transition probabilities (TPs). Under the H∞/H− framework, the fault detection filter and dynamic output feedback controller are presented simultaneously. An adaptive method is utilized to solve the difficulty caused by the unknown transition probabilities. Based on the linear matrix inequality (LMI) approach with adaptive mechanism, a sufficient condition for designing fault detection filter and controller which satisfy the H∞/H− performance is proposed in terms of the adaptive laws. The simulation results are provided to illustrate the validity and applicability of the proposed control scheme.

Simultaneous fault detection and control for uncertain discrete-time stochastic systems with limited communication

In the paper, the simultaneous fault detection and control (SFDC) problem is concerned for uncertain discrete-time stochastic systems with limited communication. An integrated module with a filter and a dynamic output feedback controller is designed to achieve the desired fault detection (FD) and control objectives, simultaneously. The event-triggered technology is employed to save the network communication resources, while two event detectors are utilized to decrease the amount of data transmitted from the sensor to the SFDC module and from the SFDC module to the plant. A novel method is proposed to ensure that the obtained closed-loop model is robustly stochastically stable and satisfies the desired detection and control performances. Sufficient conditions are derived to obtain the parameters of filter, controller and event detectors. Finally, the validity of the design strategy is verified by a simulation case.

Robust simultaneous fault detection and control for a class of nonlinear stochastic switched delay systems under asynchronous switching

This paper concerns the simultaneous fault detection and control (SFDC) problem for a class of nonlinear stochastic switched systems with time-varying state delay and parameter uncertainties. The switching signal of detector/controller unit (DCU) is assumed to be with switching delay, which results in the asynchronous switching between the subsystems and DCU. By constructing a switching strategy depending on the state and switching delays, new sufficient conditions expressed by a set of linear matrix inequalities (LMIs) is derived to design DCU gains. This problem is formulated as an H∞ optimization problem and both mean square exponential stability and fault detection of augmented system are considered. A numerical example is finally exploited to verify the effectiveness and potential of the achieved scheme.

Simultaneous H2/H∞ fault detection and control for networked systems with application to forging equipment

This paper investigates the simultaneous fault detection and control (SFDC) problems for a class of discrete-time networked systems with multiple stochastic delays and data missing. Both faults and disturbances are assumed to be in low frequency domain. The communication delays are uniformly modeled by multiple random variables obeying the Bernoulli distributions, which are mutually correlated by a prior Pearson correlation coefficient matrix. Then the closed-loop system is formulated as a special jump linear system. The generalized definitions of the H2 and H∞ indexes for such underlying systems are proposed to measure the detection and control performances, respectively. Then a mixed H2/H∞ SFDC approach is proposed to achieve the desired detection and control objectives. To cope with the H2 performance index in a given frequency range directly, by Parseval lemma and S-procedure, a relaxed condition is presented to reduce the conservatism of the existing results. And the integrated detector/controller is derived in terms of solving a set of linear matrix inequalities (LMIs). The developed method is applied to the large forging equipment drive systems, and simulation results demonstrate the effectiveness of the results.

Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time

This paper investigates the problem of the simultaneous fault detection and control (SFDC) for switched linear systems. To meet the control and detection objectives, the time-dependent detection filters and dynamic output feedback controllers are presented in SFDC under a mixed H∞/H− framework. A mode-dependent average dwell-time (MDADT) approach, which means that each subsystem has its own average dwell time, is adopted in this paper to reduce the conservativeness of the average dwell time method. And the discretized Lyapunov function (DLF) technique is first used to relax the MDADT constraints in SFDC. Some sufficient conditions for designing filters/controllers which satisfy the H∞/H− performance are given in terms of linear matrix inequalities (LMIs). What’s more, a two-step algorithm to solve the SFDC problem is proposed. The effectiveness of the proposed method is illustrated through two simulation examples.

Simultaneous Fault Detection and Control Design for Switched Linear Systems: A Linear Matrix Inequality Approach

In this paper, the problem of simultaneous fault detection and control (SFDC) for linear switched systems in discrete- and continuous-time cases under a mixed H−/H∞ framework is considered. In essence, a single unit called detector/controller is designed, where the detector is an observer and the controller is an observer-based controller. The conventional mixed H−/H∞ problem is a conservative approach due to the selection of equal Lyapunov matrices. Extended linear matrix inequalities (LMIs) characterizations are used to reduce the conservativeness by the introduction of additional matrix variables, so as to eliminate the coupling of Lyapunov matrices with the system matrices. Indeed, the idea presented in this paper is based on the average dwell time (ADT) and conservatism reduction approaches, which lead to some sufficient conditions for solving the problem in terms of LMI feasibility conditions. Two examples are provided to demonstrate the effectiveness of the proposed method.

Simultaneous fault detection and control design for switched linear systems based on dynamic observer

SUMMARYThe problem of simultaneous fault detection and control (SFDC) for linear continuous‐time switched systems is addressed in this paper. An H ∞ formulation of the SFDC problem using dynamic observer is presented. In essence, a single unit called detector/controller depending on the system modes is designed, where the detector is a dynamic observer, and the controller is a state feedback controller based on the dynamic observer. It is shown that the dynamic observer can be used effectively to tackle the drawbacks of the existing methods of SFDC design. Extended linear matrix inequalities (LMIs) characterization is used to reduce the conservativeness by introducing additional matrix variables, so as to eliminate the coupling of Lyapunov matrices with the system matrices. Indeed, the idea presented in this paper is based on average dwell time and conservatism reduction approaches and applying the advantages of dynamic observers, which leads to some sufficient conditions for solvability of the SFDC problem in terms of LMI feasibility conditions. Simulation results illustrate the effectiveness of the proposed design methodology. Copyright © 2011 John Wiley &amp; Sons, Ltd.

A Novel Simultaneous Fault Detection and Control Approach Based on Dynamic Observer

AbstractIn this paper, the problem of simultaneous fault detection and control (SFDC) for linear time invariant (LTI) systems is considered. A mixed H2/H∞ formulation of the SFDC problem using dynamic observer is used. In essence, a single unit called detector/controller is designed where the detector is a dynamic observer and the controller is a state feedback controller based on the dynamic observer. Hence, the detector/controller unit produces two signals, i.e. the detection and control signals. Unlike previous approaches for SFDC problem, the observer parameters and controller gain are all obtained via Linear Matrix Inequality (LMI) feasibility conditions. Simulation results illustrate the effectiveness of the proposed design technique.

A mixed [formula omitted] approach to simultaneous fault detection and control

This paper considers the simultaneous fault detection and control (SFDC) problem. This problem is formulated as a mixed H 2/ H ∞ optimization problem and its solution is presented in terms of two coupled Riccati equations. This solution yields controller/detector systems of modest complexity. An easily implementable design algorithm summarizes the methodology presented in the paper.