Robust Adaptive Dynamic Programming of Two-Player Zero-Sum Games for Continuous-Time Linear Systems

Fu Yue; Fu Jun; Chai Tianyou

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Robust Adaptive Dynamic Programming of Two-Player Zero-Sum Games for Continuous-Time Linear Systems

机译：连续时间线性系统两层零和博弈的鲁棒自适应动态规划

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摘要

In this brief, an online robust adaptive dynamic programming algorithm is proposed for two-player zero-sum games of continuous-time unknown linear systems with matched uncertainties, which are functions of system outputs and states of a completely unknown exosystem. The online algorithm is developed using the policy iteration (PI) scheme with only one iteration loop. A new analytical method is proposed for convergence proof of the PI scheme. The sufficient conditions are given to guarantee globally asymptotic stability and suboptimal property of the closed-loop system. Simulation studies are conducted to illustrate the effectiveness of the proposed method.

机译：在此简介中，针对具有不确定性的连续时间未知线性系统的两人零和博弈，提出了一种在线鲁棒自适应动态规划算法，该系统具有完全未知外系统的系统输出和状态的函数。使用仅具有一个迭代循环的策略迭代（PI）方案开发了在线算法。提出了一种新的解析方法来证明PI方案的收敛性。给出了充分的条件以保证闭环系统的全局渐近稳定性和次优特性。仿真研究表明了该方法的有效性。

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来源
《Neural Networks and Learning Systems, IEEE Transactions on》 |2015年第12期|3314-3319|共6页
作者
Fu Yue; Fu Jun; Chai Tianyou;
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作者单位

State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Game algebraic Riccati equation (GARE); policy iterations (PIs); robust adaptive dynamic programming (ADP); two-player zero-sum (ZS) games; two-player zero-sum (ZS) games.;

机译：游戏代数Riccati方程（GARE）;策略迭代（PIs）;鲁棒的自适应动态规划（ADP）;两人零和（ZS）游戏;两人零和（ZS）游戏。;

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1. Approximate Dynamic Programming for Two-player Zero-sum Game Related to H-infinity Control of Unknown Nonlinear Continuous-time Systems [J] . Yasini Sholeh, Bagher Mohammad, Sistani Naghibi, International Journal of Control, Automation, and Systems . 2015,第1期

机译：与未知非线性连续时间系统的H-无穷大控制有关的两人零和游戏的近似动态规划
2. Stable value iteration for two-player zero-sum game of discrete-time nonlinear systems based on adaptive dynamic programming [J] . Song Ruizhuo, Zhu Liao Neurocomputing . 2019,第MAYa7期

机译：基于自适应动态规划的离散非线性系统两人零和游戏的稳定值迭代
3. Online Solution of Two-Player Zero-Sum Games for Continuous-Time Nonlinear Systems With Completely Unknown Dynamics [J] . Yue Fu, Tianyou Chai Neural Networks and Learning Systems, IEEE Transactions on . 2016,第12期

机译：具有未知动态的连续时间非线性系统的两人零和游戏在线解决方案
4. Event-Triggered Adaptive Dynamic Programming for Continuous-Time Nonlinear Two-Player Zero-Sum Game [C] . Shan Xue, Biao Luo, Derong Liu, International conference on neural information processing;Annual conference of Asia-Pacific Neural Network Society . 2018

机译：连续时间非线性两人零和游戏的事件触发自适应动态规划
5. Robust adaptive dynamic programming for continuous-time linear and nonlinear systems. [D] . Jiang, Yu. 2014

机译：连续时间线性和非线性系统的鲁棒自适应动态规划。
6. Modified Asano-Ohya-Khrennikov quantum-like model fordecision-making process in a two-player game with nonlinear self- and cross-interactionterms of brain’s amygdala and prefrontal-cortex [O] . Luluk Muthoharoh, Hendradi Hardhienata, Husin Alatas 2020

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7. Approximate Dynamic Programming for Two-Player Zero-Sum Markov Games [O] . Perolat Julien, Scherrer Bruno, Piot Bilal, 2015

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8. Optimal Control for Unknown Discrete Time Nonlinear Markov Jump Systems Using Adaptive Dynamic Programming. [R] . He, H., Zhang, H., Wang, Z., 2014

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Robust Adaptive Dynamic Programming of Two-Player Zero-Sum Games for Continuous-Time Linear Systems

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