一种带自适应量子的量化状态系统方法

doi:10.16182/j.issn1004731x.joss.19-0517

系统仿真学报 ›› 2021, Vol. 33 ›› Issue (2): 445-452.doi: 10.16182/j.issn1004731x.joss.19-0517

• 仿真模型/系统置信度评估技术 • 上一篇下一篇

一种带自适应量子的量化状态系统方法

李志华, 傅东金, 李广, 樊志华

杭州电子科技大学机械工程学院,浙江杭州 310018

收稿日期:2019-09-05 修回日期:2020-01-14 出版日期:2021-02-18 发布日期:2021-02-20
作者简介:李志华(1966-),男,博士,教授,研究方向为多领域建模与仿真优化、CAD/CAE。E-mail: D98LZH@263.net
基金资助:
国家重点研发计划(2017YFB1301300),浙江省自然科学基金(LY18E050008,LY19E050013)

A Quantized State System Method With Adaptive Quantum

Li Zhihua, Fu Dongjin, Li Guang, Fan Zhihua

School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China

Received:2019-09-05 Revised:2020-01-14 Online:2021-02-18 Published:2021-02-20

摘要/Abstract

摘要： 量化状态系统(Quantized State System,QSS)方法是一种新的数值积分方法,在求解一般常微分方程(Ordinary Differential Equation,ODE)系统时,比传统基于时间离散的积分方法更具优势,但QSS方法存在量子选择困难的问题,为此提出一种带自适应量子的量化状态系统方法(VQSS),它结合变步长龙格库塔方法中步长控制的思想,能够在计算过程中对量子进行自适应变化,以提高QSS算法的精度和效率。通过两个算例和一个汽车运动实例的仿真求解,验证了算法的可行性。将其与传统QSS, ODE45和ODE23等算法进行比较,结果表明VQSS具有更高的计算精度和计算效率。

关键词: 量化状态系统, 自适应量子, 常微分方程, 数值积分, 仿真

Abstract: Quantized state system (QSS) is a new numerical integration method. It has advantages over the traditional time-discrete integration methods in solving general ordinary differential equation (ODE) systems. But it is hard to choose an appropriate quantum for the QSS method. In order to improve the accuracy and efficiency of QSS, a quantized state system method with adaptive quantum (VQSS) is proposed. Combined with the idea of step control in the variable step Runge-Kutta method, it can adaptively change the quantum in the process of computation. The feasibility of this algorithm is verified by the simulation of two examples and a vehicle motion case. The results show that VQSS has higher computational accuracy and efficiency than that of traditional QSS, ODE45 and ODE23.

Key words: quantized state system, adaptive quantum, ordinary differential equation, numerical integration, simulation

中图分类号:

TP391

李志华, 傅东金, 李广, 樊志华. 一种带自适应量子的量化状态系统方法[J]. 系统仿真学报, 2021, 33(2): 445-452.

Li Zhihua, Fu Dongjin, Li Guang, Fan Zhihua. A Quantized State System Method With Adaptive Quantum[J]. Journal of System Simulation, 2021, 33(2): 445-452.

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一种带自适应量子的量化状态系统方法

A Quantized State System Method With Adaptive Quantum

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