Non-fragile Filtering for Semi-makovian Robotic Hand with Piecewise Transition Probabilities: A Finite-Frequency Design

Subject to the piecewise transition probabilities (TPs), a finite-frequency non-fragile filtering problem of semi-Markovian robotic hand is addressed. More exactly, by Takagi-Sugeno (T-S) fuzzy approximation, the joint dynamics of a robot hand can be modeled as semi-Markov jump systems (SMJSs) in complex operations (e.g., variable load), and a more generalized piecewise case and the corresponding efficient non-fragile fuzzy filter are addressed simultaneously. By employing the stochastic analysis and Finsler’s lemma, sufficient criteria are established to achieve the anticipated finite-frequency performance (FFP), and the filter is obtained neatly. Finally, the validity of theoretical result is demonstrated via an illustrative presentation.