A Quantized State System Method With Adaptive Quantum

Authors

Zhihua Li, School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China;
Dongjin Fu, School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China;
Li Guang, School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China;
Zhihua Fan, School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China;

Abstract

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.

Recommended Citation

Li, Zhihua; Fu, Dongjin; Guang, Li; and Fan, Zhihua (2021) "A Quantized State System Method With Adaptive Quantum," Journal of System Simulation: Vol. 33: Iss. 2, Article 22.
DOI: 10.16182/j.issn1004731x.joss.19-0517
Available at: https://dc-china-simulation.researchcommons.org/journal/vol33/iss2/22

First Page

445

Revised Date

2020-01-14

DOI Link

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

Last Page

452

CLC

TP391

Recommended Citation

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.

DOI

10.16182/j.issn1004731x.joss.19-0517