Adaptive fuzzy output-feedback finite-time control of vehicle suspension systems: An accelerated observation approach

In this paper, a fuzzy adaptive output feedback finite-time control method for the active suspension systems (ASSs) is investigated. To improve the observation capability (including the observation speed and accuracy), we propose a novel accelerated observation control scheme by employing a rate function in the observer design. Meanwhile, we introduce a new kind of barrier function, referred to as the finite-time tan-type Barrier Lyapunov function (FTTBLF). By designing the FTTBLF-based control method, the vertical displacement of the body can be converged in a finite time while ensuring that it does not exceed the safety constraint bounds. Furthermore, the fuzzy logic systems are employed to handle the unknown nonlinear dynamics, and estimate the unknown external disturbances using the nonlinear disturbance observer. Then, it is proven by using Lyapunov stability theory that the all signals in the closed-loop ASSs are bounded. Finally, simulation results under two different road conditions validate the rationality of the developed approach.