Sensor Fault Tolerant Control For Induction Motor using descriptor approach

T‐S fuzzy observer and actuator fault‐tolerant controller designs for descriptor systems

“…Firstly, we propose a fault‐tolerant control (FTC) strategy based on an adaptive observer for descriptor systems capable of handling time‐varying actuator faults and disturbances. This surpasses some prior works that exclusively addressed non‐singular systems, as seen in References 46‐48, and also goes beyond certain earlier studies that focused on fault estimation (FE) and FTC solely in the context of less challenging sensor faults 49,50 . Secondly, in contrast to References 51,52, which did not account for disturbances in their control system analysis, our proposed FTC approach demonstrates robustness in the presence of external disturbances.…”

“…This surpasses some prior works that exclusively addressed non-singular systems, as seen in References 46-48, and also goes beyond certain earlier studies that focused on fault estimation (FE) and FTC solely in the context of less challenging sensor faults. 49,50 Secondly, in contrast to References 51,52, which did not account for disturbances in their control system analysis, our proposed FTC approach demonstrates robustness in the presence of external disturbances. To achieve this, we have developed an H ∞ optimization technique aimed at minimizing the impact of disturbances not only on the controlled output but also on state estimation error and fault estimation error.…”

“…where S is any matrix with full column rank and satisfies E T S = 0. By replacing (49) in (58), we obtain,…”