H∞ admissibilization for second-order fully actuated fuzzy delayed singular impulsive systems with Markovian jump characteristic

This paper researches H∞ admissibilization for second-order fully actuated fuzzy delayed singular impulsive systems with Markovian jump characteristic. The second-order fully actuated single-link robot arm is successfully modeled as second-order fully actuated fuzzy delayed singular impulsive jump system by T-S fuzzy technique. The timer-dependent (T-R) L-K functional (L-KF) is constructed, which can better acquire the mixed information of Markovian modes and impulses. Meanwhile, the influence of the internal impulses is eliminated by singular value decomposition (SVD) technology. Improved sufficient conditions about stochastic admissibilization for second-order fully actuated fuzzy delayed singular impulsive jump systems are obtained in the form of linear matrix inequalities (LMIs) via fuzzy state-feedback controller (FSFC). Finally, the simulation example proves the validity and correctness of the result in this paper.