Networked non-fragile H∞ static output feedback control design for vehicle dynamics stability: A descriptor approach

This paper deals with the problem of networked non-fragile H∞ static output feedback controller design for continuous Takagi-Sugeno T-S fuzzy systems with uncertainties and measurement noise under unreliable communication links. The packet dropouts and network-induced delays, which are two typical network constraints of data transmission through network, are considered in control design. Due to the introduction of the noise measurement and in order to simplify the control design, the descriptor model is adopted. For the multiplicative case of controller gain variations, we suggest a new solution of the fragility problem by developing the non-fragile design schemes ensuring the robustly admissibility for the resulting network closed-loop systems. By considering an appropriate Lyapunov-Krasovskii functional (LKF), and using the deviation bounds of asynchronous normalized membership functions, we propose a new delay-dependent sufficient conditions formulated in LMI constraints which can be easily solved using convex optimization tools. To demonstrate the validity and the effectiveness of the proposed approach, the vehicle dynamics stability and the comparison with existing results are considered.