关于SISO系统间隔度量的应用问题

Application of gap metric for SISO systems

研究了间隔度量摄动的最优鲁棒反馈镇定及其应用问题，给出了ＳＩＳＯ 系统间隔度量的一个下界取最大值时的充要条件及对应的系统幅频和相频条件；然后利用该下界对间隔度量应用中的保守性进行了分析． 所得结果为补偿间隔度量在应用中的保守性提供了依据．

The optimal robust feedback stabilization for gap metric perturbation and its application are studied. For a lower bound of the gap metric for SISO systems, a sufficient and necessary condition is obtained for reaching its maximum, and the corresponding magnitude and phase conditions are obtained as well. Then the conservatism of the gap metric in application is studied using the lower bound. The results can be used for compensation of the conservatism in application.