%0 Journal Article
%T Approximate optimal output tracking control for nonlinear discrete-time systems
非线性离散系统的近似最优跟踪控制
%A TANG Gong-you
%A LIU Yi-min
%A ZHANG Yong
%A
唐功友
%A 刘毅敏
%A 张勇
%J 控制理论与应用
%D 2010
%I
%X The optimal output tracking control(OOTC) problem is considered for discrete-time nonlinear systems. By introducing a sensitivity parameter in the nonlinear two-point boundary value(TPBV) problem which is obtained from the optimal control problems and expanding Maclaurin series around it, the original nonlinear OOTC problem is transformed into a series of nonhomogeneous linear TPBV problems. The OOTC law consists of analytic feedback and feedforward terms and a compensation term in an infinite series form. The analytic terms can be obtained by solving a Riccati difference equation and a matrix difference equation. The series compensation term can be approximately obtained by an iterative algorithm of adjoint vector equations. A simulation example from continuously stirred tank reactor(CSTR) is employed to test the validity of the presented algorithm.
%K nonlinear systems
%K discrete-time systems
%K optimal control
%K tracking control
%K CSTR
非线性系统
%K 离散系统
%K 最优控制
%K 跟踪控制
%K 连续槽式搅拌器
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=6DC05DA75E2B09E002F987B8CFB5BE32&yid=140ECF96957D60B2&vid=DB817633AA4F79B9&iid=38B194292C032A66&sid=8ACD9060100C26F1&eid=EB58C3052341AAA3&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=1&reference_num=14