LMI-based stability region estimation for dynamical systems with saturation nonlinearities and a short time-delay
基于LMI的小时滞饱和系统稳定域估计方法

Based on Pade approximation, the stability region estimation for dynamical systems with saturation nonlinearities and a short time-delay is transformed to that for singular perturbation systems with saturation nonlinearities (SPSSN). The stability region of the singular systems with saturation nonlinearities is proved to be decomposable when the time-delay is short enough. Based on this characteristic, we develop a linear matrix inequality(LMI) optimization model, and propose an order-reduction method for estimating the stability region of systems with saturation nonlinearities and a short time-delay. Simulation results show the effectiveness and the validity of the proposed method.