A Semi-Markovian Jumping System Approach to Secure DPC of Nonlinear Networked Unmanned Marine Vehicle Systems with DoS Attack

Abstract In this paper, the problem of secure dynamic positioning control (DPC) for a network-based T-S fuzzy unmanned marine vehicle (UMV) systems is addressed. Firstly, a Takagi-Sugeno (T-S) fuzzy system model is adopted to model the nonlinear dynamics of UMV systems. Then, a semi-Markovian jumping system approach is introduced to describe the unknown DoS attack phenomenon. In order to reduce the communication burden, an event-based communication scheme is proposed. By means of the Lyapunov stability analysis method and semi-Markovian jumping system approach, the sufficient conditions are devised such that the closed-loop dynamic positioning system (DPS) is robust stochastically stable. Furthermore, by solving a few LMIs, the controller gain parameters can be derived. Finally, an illustrative example of networked T-S fuzzy UMV system is established to verify the proposed control algorithm.