非线性前馈系统递归前步松弛算法Recursive Forwarding Relaxed Algorithm for Nonlinear Feedforward System
李焕玲,李俊领,解学军
摘要(Abstract):
松弛构造法构造级联系统的复合李雅普诺夫函数,在求交叉项时,可避免遇到复杂的积分运算,也不用求出系统解的具体形式,而仅需计算一些简单的代数方程就可求出复合李雅普诺夫函数.在已有的含松弛交叉项的复合李雅普诺夫函数构造方法的基础上,利用非线性前馈系统的递归前步方法,把松弛构造法推广到多步,从而使该方法适用于更广的前馈系统.
关键词(KeyWords): 非线性;前馈系统;递归前步;松弛算法
基金项目(Foundation): 国家自然科学基金资助项目(60774010)
作者(Author): 李焕玲,李俊领,解学军
DOI: 10.16393/j.cnki.37-1436/z.2009.02.026
参考文献(References):
- [1]Khalil HK.Nonlinear Systems[M].New York:MacMillan Press,1992.
- [2]Jankovic'M,Sepulcher R,Kokotovic'P V.Constructive Lyapunov stabilization of nonlinear cascade systems[J].IEEE.Trans-actions on Automatic Control,1996,41(2):1732-1735.
- [3]Sepulche R,Jankovic'M,Kokotovic'P V.Construction nonlinear control[M].New York:Springer Press,1997.
- [4]Mazenc F.Stabilization of feedforward systems approximated by a nonlinear chain of integrators[J].Systems and Control let-ters,1997,30(1):223-229.
- [5]Teel A R.Using saturation to stabilize a class of single-input partially linear composite systems design Symposiums[M].France:Bordeaux Press,1992.
- [6]Teel A R.Anonlinear small gain theorem for the analysis of control systems with saturation[J].IEEE Transactions on Automat-ic Control,1996,41(9):1256-1271.
- [7]Mazenc F,Praly L.Adding integrations,saturated controls and stabilization of feedforward systems[J].IEEE Transactions onAutomatic Control,1996,41(11):1559-1578.