Resilient Stabilization of Networked Active Suspension Systems via a Multi-Instantaneous Fuzzy Gain-Scheduling Mechanism

In this article, the security control problem of networked interval type-2 (IT-2) active suspension systems is investigated based on the multi-instantaneous fuzzy control mechanism. First, considering that the dynamic behavior of the suspension system is extremely nonlinear, a fuzzy suspension model is established according to IT-2 fuzzy rules to characterize its nonlinearity and uncertainty. Second, a multi-instantaneous fuzzy gain-scheduling control law is developed based on the normalized fuzzy weighted membership degrees (NFWMDs) of the current moment and the past moment, which is homogeneous polynomial parameter dependent. At the same time, by developing a new slack variable technique, more implicit algebraic properties of the NFWMDs can be mined, so as to reduce the conservatism of the design. Then, the exponential stability condition of the suspension system subjected to random activation network attacks is derived under the premise of satisfying the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$H_{\infty }$</tex-math></inline-formula> performance index. Eventually, the performance of the proposed controller is evaluated by hardware-in-loop experiments.