摘要
控制理论长期以来将控制目的主要集中于系统平衡位置稳定性和设计控制器以保证对系统进行镇定上 ,已不能符合控制系统当今的实际要求 .首先介绍了区别于单平衡位置稳定性的其它动态性能 ,包括系统中过程的有界性 (Lagrange稳定性 )、双态性、类梯度性以及刻画不产生平衡位置过渡的Bakaev稳定性 ,及如何运用频域手段和线性矩阵不等式 (LMI)来实现对它们的控制 .其次介绍了高阶系统中周期过程 (自振与强迫振动 )的分析与控制 ,再次介绍了与奇怪吸引子相关的Hausdorff维数与Lyapunov指数的估计和与混沌相关的研究 ,最后给出了一个结论 .
The main objective of control theory has long focused on the stability analysis of system equilibrium and stabilizing controller synthesis.But these can not meet the practical need anymore.Firstly,some dynamic properties different from the stability of the single equilibrium are introduced,including the boundedness of system trajectories (i.e.Lagrange stability),dichotomy,gradient-like behavior and the Bakaev stability (ensuring no transition of equilibria).Frequency-domain methods as well as linear matrix inequalities methods are established on how to design a feedback controller guaranteeing the above mentioned properties.Secondly,the stability and control of periodic oscillations (the auto-oscillations and the forced oscillations) of high order systems are investigated.Finally,some researches on estimates of the Hausdorff dimension and the Lyapunov exponent of strange attractors are introduced.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2004年第6期966-974,共9页
Control Theory & Applications
基金
国家自然科学基金项目 (60 3 3 40 3 0
10 2 72 0 0 1
60 40 40 0 7
60 3 740 3 9
60 2 0 40 0 7)
关键词
总体性质
多平衡点
分析与控制
周期过程
奇怪吸引子
global properties
multiple equilibria
analysis and control
periodic oscillations
strange attractors
