Passive analysis and finite-time anti-disturbance control for semi-Markovian jump fuzzy systems with saturation and uncertainty

This paper mainly addresses the issue of passivity for semi-Markovian jump fuzzy systems (S-MJFSs) with saturation and uncertainty and analyzes the finite-time performance. Compared with existing research results, the passivity problem of semi-Markovian jump system (S-MJS) with mixed disturbances is proposed, and time-delay, parameter uncertainty are also considered in the close-loop systems. Takagi-Sugeno (T-S) fuzzy strategy is used to deal with finite-time nonlinear problem. Firstly, the sufficient condition of finite-time boundedness for S-MJFSs is proposed by the derivation and transformation of matrix inequality. Then, disturbance observer based control (DOBC) and passive control are combined to address the robust passive problem. Furthermore, finit-time passive controller is solved to guarantee the control requirements of uncertain S-MJFSs. Finally, the results are applied in the practical system model and the feasibility of the results is verified. (C) 2022 Elsevier Inc. All rights reserved.