Abstract:Based on the polynomial theory, we study the robust D-region stability and the adaptive grid division algorithm of evaluation space. By improving the traditional single uncertain parameter stability evaluation method for dynamic system, a new stability evaluation method of multi uncertain parameters coupled perturbation is achieved. In order to verify this method, an axial symmetry vehicle's longitudinal control law is evaluated with combined multi-uncertain parameters perturbation, and the assessment results exhibit the accurate longitudinal stability and instability regions.