Simultaneous actuator and sensor fault estimation for descriptor LPV system based on H _∞ reduced-order observer

Abstract

SUMMARYThis paper addresses the problems of simultaneous actuator and sensor fault estimation for a class of descriptor linear parameter varying systems. By extending the sensor fault as an auxiliary state, the original system can be transformed into a descriptor one. Then, by the using of H 1 optimization technique, a reduced-order observer is developed with a new defining variable. The proposed approach is based on the parameterizations of the obtained algebraic constraints from the error equation. By using the designed reduced-order observer and super twisting algorithm, the actuator fault can be reconstructed via a polytopic algebraic method. Finally, a simulation example of electric network is given to illustrate the validation of the proposed method.

Fault estimation for aero‐engine LPV systems based on LFT

“…Note that matrix inequality (18) consists of an infinite number of constraints. To solve this problem, defining R = − Q > 0, RΛ = ΛR, S is a skew-symmetric matrix and commutable with Λ according to [24].…”

“…To overcome this limitation, the H ∞ optimization-based method featuring strong robust performance has been proposed. There have been a number of studies of fault estimator design for the LPV system with both sensor and actuator faults under disturbances [15][16][17][18][19]. For example, in [15], the H ∞ norm of the closed-loop transfer function from external input to fault estimation error is minimized to solve the continuous LPV system fault estimation problem.…”

Active Fault Tolerant Control Design for LPV Systems with Simultaneous Actuator and Sensor Faults

“…In fact, many practical applications may have multiple single faults that appear simultaneously, which is known as "simultaneous faults" [18]. Several FE strategies based on LPV systems have been proposed, e.g., using learning observer [19], SMO [20,21], and reduced-order observer [22]. These approaches are based on robustness concepts and are thus good candidates to include in active FE based FTC system analysis and design.…”

Non‐Fragile Simultaneous Actuator and Sensor Fault‐Tolerant Control Design for Markovian Jump Systems Based on Adaptive Observer

“…So, it is of great importance to detect faults in time for safety and reliability considerations. In recent years, fault detection and isolation (FDI) as well as fault‐tolerant control (FTC) have attracted considerable attention and are still ongoing challenges .…”