摘要
针对控制系统中状态变量不可测性,研究了一类T-S模糊广义系统的基于观测器的H∞控制问题,利用李亚普诺夫稳定性理论证明了使闭环系统渐进稳定并且具有适当的H∞性能指标的充分条件,并用严格线性矩阵不等式方法表示了这些充分条件,从而可以通过解矩阵不等式容易地获得基于观测器的H∞控制器。算例说明所提方法有效和可行。
Considering that the state variables of the systems were not measurable, the problem of H∞ control based on observer was studied for T-S fuzzy descriptor systems. According to the theory of Lyapunov, the sufficient conditions, which maintained the stability of the closed-loop system and the H∞-performance, were proved. This conditions were expressed via strict linear matrix inequalities （LMIs）. So the H∞ controller based on observer can be obtained easily by solving the LMIs. The effectiveness and feasibility were verified with calculation examples.
出处
《辽宁工业大学学报（自然科学版）》
2009年第4期262-267,280,共7页
Journal of Liaoning University of Technology(Natural Science Edition)
基金
国家自然科学基金(60574011)
辽宁省教育厅科研基金(JYT200825)
