基于广义模糊双曲模型的自适应动态规划最优控制设计

张吉烈; 张化光; 罗艳红; 梁洪晶

doi:10.3724/SP.J.1004.2013.00142

基于广义模糊双曲模型的自适应动态规划最优控制设计

doi: 10.3724/SP.J.1004.2013.00142

1.
东北大学信息科学与工程学院沈阳 110819;
2.
流程工业综合自动化国家重点实验室 (东北大学) 沈阳 110819

详细信息

通讯作者:
张化光

计量
- 文章访问数: 2052
- HTML全文浏览量: 55
- PDF下载量: 1444
- 被引次数: 0
出版历程
- 收稿日期: 2012-04-10
- 修回日期: 2012-08-20
- 刊出日期: 2013-02-20

Nearly Optimal Control Scheme Using Adaptive Dynamic Programming Based on Generalized Fuzzy Hyperbolic Model

1.
School of Information Science and Engineering, Northeastern University, Shenyang 110819;
2.
State Key Laboratory of Synthetical Automation for Process Industries (Northeastern University), Shenyang 110819

摘要

摘要: 为连续非线性系统提出了一种有效的最优控制设计方法. 广义模糊双曲模型(Generalized fuzzy hyperbolic model, GFHM)首次作为逼近器用来估计 HJB (Hamilton-Jacobi-Bellman)方程的解 (值函数,即它是状态与代价函数之间的映射), 然后,利用该近似解获得最优控制. 本文方法只需要一个GFHM估计值函数. 首先, 阐述了对于连线非线性系统最优控制的设计过程; 然后,证明了逼近误差是一致最终有界的 (Uniformly ultimately bounded, UUB); 最后, 一个数值例子验证了本文方法的有效性. 另一个例子通过与神经网络自适应动态规划的方法作比较, 演示了本文方法的优点.
- 广义模糊双曲模型 /
- 最优控制 /
- 自适应动态规划 /
- 近似最优 /
- 自适应控制
Abstract: An effective scheme is presented to design the nearly optimal control for continuous-time (C-T) nonlinear systems. The generalized fuzzy hyperbolic model (GFHM) is used to approximate the solution of the Hamilton-Jacobi-Bellman (HJB) equation (i.e., the value function) for the first time. Further, the approximate solution is utilized to obtain the nearly optimal control. The value function is estimated by only using single GFHM, which captures the mapping between the state and value function. First, we illustrate the design process for the nearly optimal control involving nonlinear systems. Then stability conditions and conservatism analysis are given, and the approximate errors are proven to be uniformly ultimately bounded (UUB). Finally, a numerical example illustrates the effectiveness of our method and an example compared with the adaptive method based on dual neural-network models is used to demonstrate the advantages of our method.
- Generalized fuzzy hyperbolic model (GFHM) /
- optimal control /
- adaptive dynamic programming (ADP) /
- approximation optimization /
- adaptive control

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参考文献(1)

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