This paper proposes a robust fault detection and isolation (FDI) approach that combines active passive FDI approaches. Standard approaches obtain robustness by using the unknown input observer (UIO) to decouple inputs from residuals. Differently, standard achieve set theory bound effect of uncertain factors (disturbances noises). In this paper, we combine UIO-based set-based produce mixed FDI, which can mitigate disadvantages exert advantages two order emphasize role theory, UIO design based...

Summary This paper proposes to design an unknown input observer (UIO) for the linear‐parameter‐varying (LPV) system on basis of set theory, which is named as set‐theoretic UIO (SUIO). The advantage SUIO consists in that it combines active and passive approaches obtain robustness state estimation (SE) fault detection (FD). approach based use decouple inputs, while theory bound uncertain factors cannot be actively decoupled. As a result, effect both inputs (process disturbances, modeling...

This paper proposes a novel robust fault detection (FD) approach and designs set-theoretic unknown input observer (SUIO) for linear parameter-varying (LPV) systems with both state output equations scheduled by inexact scheduling variables. First, such LPV systems, we propose FD method combing the set theory observer, which considers bounds of measurement errors variables to generate FD-oriented sets. In general, as long sensors sufficiently high precision are equipped measure variables, can...

This letter proposes a novel online active fault diagnosis (AFD) method based on invariant sets for linear time-invariant (LTI) systems with bounded disturbances and noises. In general, the system has healthy mode several faulty modes. During operation, respect to modes, corresponding output estimation are computed, respectively. Thus, task of AFD can be converted separate sets, which consequently distinguish current implement AFD. The existing methods objective by designing an input...

This article focuses on the design of <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">online</i> optimal input sequence for robust active fault diagnosis discrete-time linear parameter-varying systems using set-theoretic methods. Instead traditional set-separation constraint conditions leading to xmlns:xlink="http://www.w3.org/1999/xlink">offline</i> sequence, proposed approach (re)shaping based real-time information output discriminate...

This article proposes a novel robust state estimation method for discrete linear time-invariant systems by using the positive system theory and set to overcome disadvantages of interval observers set-valued finally achieve an expected balance between computational complexity conservatism. The proposed first transforms into equivalent with its matrix in canonical companion form. Then, based on this form, we partition two subsystems, where subsystem owns nonnegative second has including...

Summary Optimal robust state estimation (SE) and fault detection (FD) methods of discrete‐time linear parameter varying systems with measurement error‐affected scheduling variables are proposed under the boundedness assumption system uncertainties. By using weighted Frobenius norm generator matrix SE zonotope to characterize set size, optimal observer gain can be computed by a zonotopic Kalman filter (ZKF) procedure for purpose observation. Meanwhile, minimizing influence uncertainties while...

Prognostics and Health Management (PHM) appears to be a promising maintenance strategy which can enhance reliability reduce costs of the target system. In process PHM, is most important crucial. Prognostic approaches roughly divided into two categories: model-based methods data-driven methods, both have advantages limitations. To overcome limitations these improve accuracy precision forecasting, we propose novel fusion prognostic method. This method fuses Particle Filter (PF, model-based)...

This article considers admissibility analysis and robust <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">${H_\infty }$</tex-math></inline-formula> control for continuous-time Takagi–Sugeno fuzzy descriptor systems with norm-bounded uncertainties in all parametric matrices. The system under consideration contains singular derivative matrices different membership functions, thus it generalizes other related...

Summary This paper proposes an integrated actuator and sensor active fault‐tolerant model predictive control scheme. In this scheme, fault detection is implemented by using a set‐valued observer, isolation (FI) performed set manipulations, carried out through the design of robust law. paper, observer used to passively complete task, while FI actively making use constraint‐handling capability control. The chosen implement (FDI) because its simple mathematical structure that not affected type...

This paper proposes an invariant set-based robust fault detection (FD) and optimal estimation (FE) method for discrete-time linear parameter varying (LPV) systems with bounded uncertainties. Firstly, a novel invariant-set construction LPV is proposed if only the system poly-quadratically stable, which need not satisfy condition that there must exist common quadratic Lyapunov function all vertex matrices of compared to traditional methods. Furthermore, by using shrinking procedure, we provide...

Fault diagnosis, which is a task to identify the nature of occurred fault, paramount importance ensure steadiness industrial and domestic machinery. Essentially, fault diagnosis problem classification. A method based on Local Outlier Factor (LOF) anomaly detection BP neural network proposed apply steel plates diagnosis. The LOF firstly used find samples process relevant detected. Then processed are train back-propagation (BPNN) classify plate faults. It be noted that method's effect outlier...

This paper characterises and analyses the minimum detectable fault (MDF) (named generalised MDF here) for multiple multiplicative actuator faults based on set-separation constraints of healthy faulty residual sets discrete-time linear parameter varying (LPV) systems with bounded inputs uncertainties. First, are equivalently transformed into form additive sake obtaining simplified set explicitly. Then, two different are, respectively, defined, which can be computed via solving simple...

This paper aims to propose a new robust state-estimation and fault-detection method by combining the unknown input observer (UIO) set-membership estimator (SME). It is known that both SUIO SME can be used estimate states of system. The former obtain particular value actively decoupling effect inputs, while latter sets prediction correction based on set theory. Instead state values, guaranteeing contain system (i.e., estimation). In this paper, we use framework UIO decouple part inputs then...

This paper focuses on comparing fault detection (FD) performance of two robust FD approaches, namely the set-theoretic unknown input observer-based approach and interval approach. The former is implemented using set theory observer (UIO), where UIO are used to decouple effect inputs in passive active ways, respectively. latter based Luenberger observer, which completely relies set-based decoupling obtain robustness. a new method recently proposed by authors, while well-known method....

In this paper, a fault-tolerant multi-sensor switching strategy is used for sensor-fault tolerance of robot manipulator with redundant sensors in each joint to provide the angular position joint. This employs linear-parameter-varying (LPV) model describe nonlinear dynamics manipulator. Then, based on obtained LPV model, zonotopic set-based robust fault detection (FD) mechanism further designed monitor system behaviors. At time instant, FD checks whether there are some that have become faulty...

This paper focuses on designing a suitable input sequence for active fault diagnosis (AFD) of the discrete-time linear descriptor (DTLD) system. In order to successfully implement this objective, we propose transform system into so-called equivalent slow-fast form, study slow subsystem is completely consistent with normal system, while matrix fast nilpotent. paper, authors further use form an augmented describe state subsystem, so that design can be completed by using mixed integer quadratic...