H^∞控制律用于自适应控制的整体有界性证明  

Proof of global boundedness in adaptive control using H∞ control law

作　　者：郭庆鼎[1] 孙艳娜[1] 

机构地区：[1]沈阳工业大学电气工程学院,辽宁沈阳110023

出　　处：《沈阳工业大学学报》2003年第5期404-407,共4页Journal of Shenyang University of Technology

摘　　要：提出了一种新颖的自适应控制方案,它将H∞鲁棒控制律应用于自适应控制当中,并与鲁棒参数估计器相结合,以进一步提高自适应控制系统的鲁棒性能.为验证上述方案的可行性,当存在参数不确定性、未建模动态和有界噪声时,在冻结时间方法的基础上对满足自适应控制系统整体有界性的H∞控制律进行了推导,从而以严密的理论支持将H∞鲁棒控制律引入到自适应控制中.还根据推导出的新的充分条件,设计出满足事先设定的鲁棒性水平的自适应控制系统.A novel adaptive control scheme is proposed, in which H∞ control law is used and combined with robust parameters estimator to further improve the robustness. In order to validate the feasibility of the scheme, the authors have deduced the H∞ control law satisfying the global boundedness of adaptive control system in the presense of parametric uncertainty, unmodeled dynamics and bounded noises. The whole proof is based on the frozen time approach, brief and simple. Thus, there has been a rigorous theoretic support which allows us introduce H∞ robust control law into adaptive control. A adaptive control system satisfying the predfined robustness level can also be designed on the basis of the new sufficient condition deduced.

关 键 词：自适应控制 H^∞鲁棒控制律 冻结时间分析 不确定性 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]