State Event Detecting Algorithm for Hybrid System Based on Interval Newton's Method

Authors

Haiyan Wang, Merchant Marine College, Shanghai Maritime University, Shanghai 201306, China;
Yihuai Hu, Merchant Marine College, Shanghai Maritime University, Shanghai 201306, China;

Abstract

Abstract: Accurately detecting of state events is critical for hybrid dynamic systems,especially for systems with singularities or event functions with multiple roots. A carefully constructed extrapolation polynomial among state value of past time points was applied to predict values of event functions. The polynomial was derived from a variable-step multi-step integration method. The extended interval Newton's method was employed to find all roots in a certain time interval. Due to no using of values of future time points, the polynomial can be employed to determine the integration step size by checking potential events in systems with model singularities. The procedure of root existence test and root finding was combined into one procedure by using of non-existence test of roots. Simulation results show the algorithm is effective for hybrid dynamic systems with several different critical situations. By this algorithm, model singularities are found on time and simulation failures are avoided.

Recommended Citation

Wang, Haiyan and Hu, Yihuai (2020) "State Event Detecting Algorithm for Hybrid System Based on Interval Newton's Method," Journal of System Simulation: Vol. 27: Iss. 4, Article 10.
Available at: https://dc-china-simulation.researchcommons.org/journal/vol27/iss4/10

First Page

738

Revised Date

2014-10-21

DOI Link

https://doi.org/

Last Page

746

CLC

TP391.9;O241.4

Recommended Citation

Wang Haiyan, Hu Yihuai. State Event Detecting Algorithm for Hybrid System Based on Interval Newton's Method[J]. Journal of System Simulation, 2015, 27(4): 738-746.