关键词: 多项式, 格划分, 稳定性能评估, D-稳定性

Abstract: A new method for application to robust stability of linear systems subject to uncertain parameters and applicability to the robustness stability clearance problem of missile autopilot is proposed. First, the necessary and sufficient conditions for robust stability of linear systems subject to uncertain parameters are given for which the characteristic polynomial coefficients are not relevant, then the conditions are combined to robust D-stability theory through adaptive grid generation algorithm, and the polynomial clearance algorithm is obtained. The algorithm is applied to missile stability clearance, the stability region of the whole flight envelope under different angles of attack is obtained. With respect to classical methods, where the analysis is conducted on simple discrete points, the results show that the polynomial based clearance algorithm allows the flight envelope to be investigated continuously to determine the stable regions and discover hidden unstable regions.

Key words: polynomial, grid generation, stability clearance, D-stability