TY - GEN
T1 - Transformation of Multi-Input Linear Time-Varying Systems into High-Order Fully Actuated Systems
AU - Dong, Jiacheng
AU - Zhou, Bin
AU - Zhang, Ruiqing
N1 - Publisher Copyright:
© 2025 IEEE.
PY - 2025
Y1 - 2025
N2 - For a single-input linear time-varying (LTV) system, it can be transformed into a standard high-order fully actuated system (HOFAS) if and only if its controllability matrix, as defined by the Silverman criterion, is nonsingular for all time. However, the scenario becomes much more complex for the multi-input LTV system. This note explores the transformation of a multi-input LTV system to the HOFAS model. For a lexicographically fixed LTV system, the transformation to the HOFAS model can be carried out directly. For a non-lexicographically fixed LTV system, an auxiliary system is introduced to obtain an extended LTV system that is lexicographically fixed, which is then transformed into the HOFAS model.
AB - For a single-input linear time-varying (LTV) system, it can be transformed into a standard high-order fully actuated system (HOFAS) if and only if its controllability matrix, as defined by the Silverman criterion, is nonsingular for all time. However, the scenario becomes much more complex for the multi-input LTV system. This note explores the transformation of a multi-input LTV system to the HOFAS model. For a lexicographically fixed LTV system, the transformation to the HOFAS model can be carried out directly. For a non-lexicographically fixed LTV system, an auxiliary system is introduced to obtain an extended LTV system that is lexicographically fixed, which is then transformed into the HOFAS model.
KW - Linear time-varying system
KW - high-order fully actuated system
KW - state transformation
UR - https://www.scopus.com/pages/publications/105017661370
U2 - 10.1109/FASTA65681.2025.11139021
DO - 10.1109/FASTA65681.2025.11139021
M3 - 会议稿件
AN - SCOPUS:105017661370
T3 - Proceedings of the 4th Conference on Fully Actuated System Theory and Applications, FASTA 2025
SP - 215
EP - 218
BT - Proceedings of the 4th Conference on Fully Actuated System Theory and Applications, FASTA 2025
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 4th Conference on Fully Actuated System Theory and Applications, FASTA 2025
Y2 - 4 July 2025 through 6 July 2025
ER -