控制理论与应用2003，Vol.20Issue(2)：283-288,6.
具Frobenius有界不确定性广义系统的鲁棒稳定性
Robust stability for singular systems with Frobenius norm-bounded uncertainties
摘要
Abstract
This paper is to discuss the problems of stability and robust stabilization for singular systems with Frobenius norm-bounded uncertainties. The necessary and sufficient conditions of generalized quadratical stability, which guarantees that the uncertain singular system is stable, regular and impulse-free for all admissible uncertainties, can be obtained by solving an algebraic Riccati inequality or an algebraic Riccati equation. Furthermore, the design method of robustly stabilizing state feedback controller can be constructed in terms of the solution of a certain matrix equation. A numerical example is given illustrating the effectiveness of the proposed approach.关键词
鲁棒性/广义系统/Frobenius界/不确定性/Riccati方程Key words
robustness/singular systems/Frobenius norm-bounded/uncertainty/Riccati equation分类
信息技术与安全科学引用本文复制引用
胡刚,任俊超,谢湘生..具Frobenius有界不确定性广义系统的鲁棒稳定性[J].控制理论与应用,2003,20(2):283-288,6.基金项目
supported by the Guangdong Provincial Natural Science Foundation of China(020065). （020065）
