DOI: 10.1093/imamci/dnag021 ISSN: 0265-0754
Observer-based sliding-mode practical finite-time stability for fractional-order non-linear systems
Yawen Qu, Jin-Liang Wang, Yanfen SongAbstract
This paper delves into practical finite-time stability (PFTS) for a type of fractional-order non-linear systems (FONSs) with unknown state and non-linear functions by employing the state observer and sliding mode control (SMC) methods. Since the state in the FONS is unknown, a state observer is provided. Moreover, the fuzzy logic system (FLS), the adaptive control technique and the integral SMC method are adopted to tackle the unknown non-linear functions. Then, an observer and FLS-based adaptive integral SMC scheme is developed to ensure the PFTS for the FONS. Lastly, a practical example is provided to confirm the correctness of the derived results.