Reliable H∞ and Passive Fuzzy Observer-Based Sliding Mode Control for Nonlinear Descriptor Systems Subject to Actuator Failure

• Published in: International journal of fuzzy systems Vol. 24; no. 1; pp. 105 - 120
• Main Authors: Kchaou, Mourad, Jerbi, Houssem
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2022; Springer Nature B.V
• Subjects: Actuator failure; Artificial Intelligence; Closed loops; Computational Intelligence; Control systems; Design; Engineering; Euclidean space; Fault tolerance; Feedback control; Fuzzy control; Fuzzy sets; H-infinity control; Liapunov functions; Linear matrix inequalities; Management Science; Mathematical models; Nonlinear control; Nonlinear systems; Operations Research; Sliding mode control; Tractor trailers; Uncertainty; Adaptive SMC; LMI; Actuator failure; Fuzzy observer; Fuzzy descriptor system
• ISSN: 1562-2479; 2199-3211
• DOI: 10.1007/s40815-021-01121-x

The present work investigates the Takagi–Sugeno (T–S) fuzzy-based fault-tolerant control for non-linear descriptor systems with uncertainties, external disturbances, and actuator failures. More precisely, the sliding mode control (SMC) approach is employed to develop an observer-based (SMC) strategy for this class of models with the assumption that the sub-model-input matrices can be different. First, an observer is designed to reconstruct the unmeasured states, and a novel integral sliding function, which involves a non-linear term to compensate the matched uncertainty, is formulated. Based on an appropriate fuzzy Lyapunov function, sufficient conditions are established in terms of linear matrix inequality (LMI) to ensure the robust admissibility of the closed-loop system with a satisfactory mixed H ∞  /passivity performance and determine the sliding function parameters. Then, an adaptive observer-based SMC law is synthesized to adaptively ensure the reachability of the sliding surface and completely compensate for the influence of the previously mentioned factors. Finally, the efficiency of the theoretical findings is shown by the implementation of the proposed reliable SMC controller for practical systems about the pendulum and truck-trailer.