%0 Journal Article
%T Suboptimal control of a class of nonlinear singularly perturbed systems<br>一类非线性奇异摄动系统的近似最优控制
%A CAO Ning
%A ZHANG Hua-guang
%A LUO Yan-hong
%A FENG De-zhi
%A LIU Yan
%A <br>曹宁
%A 张化光
%A 罗艳红
%A 冯德志
%A 刘燕
%J 控制理论与应用
%D 2011
%I 
%X Based on adaptive dynamic programming, a novel suboptimal control method for a class of nonlinear singularly perturbed systems is proposed. According to the slow/fast Hamilton-Jacobi-Bellman(HJB) equations, the initial performances converge to the optimal performances by neural network approximation and the iteration between control laws and performance indices. It avoids solving the complex HJB equations directly. The convergence of the algorithm is proved and the obtained composite control is shown to be suboptimal. Simulation results demonstrate the effectiveness.
%K singularly perturbed systems
%K adaptive dynamic programming
%K slow-fast decomposition
%K composite control<br>奇异摄动系统
%K 自适应动态规划
%K 快慢分解
%K 组合控制
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=5704D2E38E2B920F9D036FFCE6148B5E&yid=9377ED8094509821&vid=D3E34374A0D77D7F&iid=94C357A881DFC066&sid=2A22E972FD97071B&eid=15F713CDE16A589C&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=10