Non-fragile observer-based adaptive control of uncertain nonlinear stochastic Markovian jump systems via sliding mode technique

This paper is focused on a novel observer-based sliding mode control strategy for a class of uncertain stochastic Markovian jump systems with nonlinear perturbation. A novel linear switching surface scheme is established for the system with the aid of a simplified non-fragile observer, from which the corresponding reaching motion adaptive control law is synthesized. Then, a new sufficient condition of exponential stability for the associated dynamics during the sliding mode is derived based upon the designed sliding function and linear matrix inequality approach. At last, two illustrative examples are conducted to justify the effectiveness and applicability of the proposed methodology. (C) 2020 Elsevier Ltd. All rights reserved.