| 引用本文: | 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(英文)[J].控制理论与应用,2003,20(2):283~288.[点击复制] |
| HU Gang, REN Jun-chao, XIE Xiang-sheng.Robust stability for singular systems with Frobenius norm-bounded uncertainties[J].Control Theory and Technology,2003,20(2):283~288.[点击复制] |
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| 具Frobenius有界不确定性广义系统的鲁棒稳定性(英文) |
| Robust stability for singular systems with Frobenius norm-bounded uncertainties |
| 摘要点击 1478 全文点击 1152 投稿时间：2000-12-28 修订日期：2002-03-07 |
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| DOI编号 |
| 2003,20(2):283-288 |
| 中文关键词 鲁棒性 广义系统 Frobenius界 不确定性 Riccati方程 |
| 英文关键词 robustness singular systems Frobenius norm bounded uncertainty Riccati equation |
| 基金项目 |
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| 中文摘要 |
| 研究了具Frobenius有界不确定性广义系统的稳定与鲁棒镇定问题. 通过对代数Riccati不等式或代数Riccati方程的求解, 获得了不确定广义系统广义二次稳定的充要条件, 使得对所有容许的不确定参数, 系统是稳定, 正则和无脉冲. 而且, 根据一类矩阵方程, 构造了使不确定广义系统鲁棒镇定的状态反馈控制器的设计方法. 实例说明了上述方法的有效性. |
| 英文摘要 |
| 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. |
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