具有有界扰动的奇异摄动系统鲁棒稳定性  

Robust control of singular perturbation system in the presence of bounded disturbances

作　　者：王宪杰[1] 高存臣[2] 

机构地区：[1]烟台大学数学与信息科学系,山东烟台264005 [2]中国海洋大学数学系,山东青岛266071

出　　处：《电机与控制学报》2004年第1期48-50,59,共4页Electric Machines and Control

基　　金：国家自然科学基金(69974032);山东省自然科学基金(Q99G06)

摘　　要：对于高频寄生、外部扰动及高频参考输入共存的奇异摄动系统进行了鲁棒性稳定性研究。为了得到较小的残差集,采用新的自适应律作为控制输入的理论法则。利用Lyapunov稳定性理论,给出了误差系统的状态偏差向量、高频变量及失配参数向量的有限上界。结果表明,新的自适应律的引入,得到了更小的参差集,从而增强了系统的鲁棒性与稳定性。Robust stability of the singular perturbation system is studied in the presence of high frequen- cy parasites, external disturbances and high frequency reference input signal. For the sake of obtaining a less residual set, we take the new adaptive law as the theory law of the control input. Lyapunov's stability theory is used. The finite upper bound of the state error vector, the parasite variable and the mismatch parameter vector of the error system are obtained. The results show that the smaller residual set is obtained due to new adaptive law, thus robustness and stability of the system have been strengthened.

关 键 词：奇异摄动系统 鲁棒稳定性 状态偏差 自适应律 反馈控制 有界扰动 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] O231[自动化与计算机技术—控制科学与工程]