摘要
研究了一类时滞不确定性系统的状态估计问题 ,其中系统的参数不确定性是时变和模有界的。首先证明了时滞不确定性系统二次稳定且H∞ 范数小于指定的上界的充分条件 ,然后利用修正的Riccati型不等式推导了使得估计系统同时满足二次稳定和鲁棒H2 /H∞ 性能的线性估计器存在的充分条件 ,通过求解两个代数Riccati方程的正定解 ,得到了该估计器的参数表示。仿真试验表明了该设计方法的有效性和可行性。
The problem of robust state estimation for a class of uncertain linear systems with time delay is studied in this paper. The parameter uncertainties are time varying and norm bounded. After the sufficient condition that the uncertain linear systems with time delay are quadratically stable and H\-∞ norm meets the upper bound constraint is proved, the sufficient condition for the existence of the robust estimator is derived by the modified Riccati inequalities, such that the estimating process remains quadratically stable and meets robust H\-2/H\-∞ performances simultaneously. The estimator is characterized in terms of positive solutions of two algebraic Riccati equations. Simulation result shows that the method is effective and feasible.\;
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2002年第10期38-41,共4页
Systems Engineering and Electronics
基金
国家自然科学基金 (6980 40 0 7)
"863"(CIMS 5 11-845 -0 0 8)高技术计划基金
上海市科技启明星计划 (99QD14 0 12 )资助课题
