TY - GEN
T1 - A Modified Finite-Time Guidance Law with Impact Angle Constraint
AU - Wang, Jianan
AU - Tao, Xizi
AU - Dong, Wei
AU - Wang, Huixia
AU - Wang, Chunyan
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2023
Y1 - 2023
N2 - A modified finite-time impact angle control guidance (IACG) law is developed. First, based on the biased proportional navigation guidance (PNG) approach, the finite-time convergent impact-angle error dynamic is deduced from the guidance model. Then, a modified IACG law considering finite-time convergence is designed by inserting a time-to-go term into the dominator of the biased term. Furthermore, the finite-time stability and the explicit settling time of the impact-angle error dynamic is derived via utilizing the approach of Lyapunov analysis. Unlike the conventional IACG laws achieving finite-time convergence, the advantage of this modified guidance law is that the settling time for the impact-angle error is always smaller than the final time. Hence, under different initial impact-angle errors, the modified guidance law assures achieving the impact-angle error convergence before interception. Besides, it is convenient to adjust parameters. Finally, some numerical simulations under various scenarios are provided to confirm the properties of the modified finite-time convergent guidance law.
AB - A modified finite-time impact angle control guidance (IACG) law is developed. First, based on the biased proportional navigation guidance (PNG) approach, the finite-time convergent impact-angle error dynamic is deduced from the guidance model. Then, a modified IACG law considering finite-time convergence is designed by inserting a time-to-go term into the dominator of the biased term. Furthermore, the finite-time stability and the explicit settling time of the impact-angle error dynamic is derived via utilizing the approach of Lyapunov analysis. Unlike the conventional IACG laws achieving finite-time convergence, the advantage of this modified guidance law is that the settling time for the impact-angle error is always smaller than the final time. Hence, under different initial impact-angle errors, the modified guidance law assures achieving the impact-angle error convergence before interception. Besides, it is convenient to adjust parameters. Finally, some numerical simulations under various scenarios are provided to confirm the properties of the modified finite-time convergent guidance law.
KW - Finite-time convergence
KW - Guidance law
KW - Impact angle constraint
UR - http://www.scopus.com/inward/record.url?scp=85151124457&partnerID=8YFLogxK
U2 - 10.1007/978-981-19-6613-2_682
DO - 10.1007/978-981-19-6613-2_682
M3 - Conference contribution
AN - SCOPUS:85151124457
SN - 9789811966125
T3 - Lecture Notes in Electrical Engineering
SP - 7079
EP - 7087
BT - Advances in Guidance, Navigation and Control - Proceedings of 2022 International Conference on Guidance, Navigation and Control
A2 - Yan, Liang
A2 - Duan, Haibin
A2 - Deng, Yimin
A2 - Yan, Liang
PB - Springer Science and Business Media Deutschland GmbH
T2 - International Conference on Guidance, Navigation and Control, ICGNC 2022
Y2 - 5 August 2022 through 7 August 2022
ER -