当前位置: X-MOL 学术IEEE Trans. Fuzzy Syst. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Event-Triggered Adaptive Dynamic Programming Algorithm for Non-Zero-Sum Games of Unknown Nonlinear Systems via Generalized Fuzzy Hyperbolic Models
IEEE Transactions on Fuzzy Systems ( IF 11.9 ) Pub Date : 2019-11-01 , DOI: 10.1109/tfuzz.2019.2896544
Huaguang Zhang , Hanguang Su , Kun Zhang , Yanhong Luo

In this paper, by incorporating the event-triggered mechanism and the adaptive dynamic programming algorithm, a novel near-optimal control scheme for a class of unknown nonlinear continuous-time non-zero-sum (NZS) differential games is investigated. First, a generalized fuzzy hyperbolic model based identifier is established, using only the input–output data, to relax the requirement for the complete system dynamics. Then, under the event-based framework, the coupled Hamilton–Jacobi equations are derived for the multiplayer NZS games. Then, the adaptive critic design method is employed to approximate the optimal control policies; thus, an identifier-critic architecture is developed to obtain the event-triggered controller. By the virtue of the Lyapunov theory, a state-dependent triggering condition, which is different from the existing works, is developed to achieve the stability of the closed-loop control system both for the continuous and jump dynamics. Finally, two numerical examples are simulated to substantiate the feasibility of the analytical design.

中文翻译:

基于广义模糊双曲模型的未知非线性系统非零和博弈的事件触发自适应动态规划算法

在本文中,通过结合事件触发机制和自适应动态规划算法,研究了一类未知非线性连续时间非零和(NZS)微分博弈的新近最优控制方案。首先,建立基于广义模糊双曲线模型的标识符,仅使用输入-输出数据,放宽对完整系统动力学的要求。然后,在基于事件的框架下,为多人 NZS 游戏导出了耦合的 Hamilton-Jacobi 方程。然后,采用自适应批评设计方法逼近最优控制策略;因此,开发了一个标识符批评体系结构来获得事件触发的控制器。凭借李雅普诺夫理论,一种与现有工作不同的状态相关的触发条件,开发用于实现闭环控制系统的连续和跳跃动态稳定性。最后,通过两个数值例子来验证分析设计的可行性。
更新日期:2019-11-01
down
wechat
bug