TY - GEN
T1 - Analysis and design of complex-valued linear systems
AU - Zhou, Bin
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/12/29
Y1 - 2017/12/29
N2 - This paper studies a class of complex-valued linear systems whose state evolution dependents on both the state vector and its conjugate. The complex-valued linear system comes from linear dynamical quantum control theory and is also encountered when a normal linear system is controlled by feedback containing both the state vector and its conjugate that can provide more design freedom. By introducing the concept of bimatrix and its properties, the considered system is transformed into an equivalent real-representation system and a non-equivalent complexlifting system, which are normal linear systems. Based on these two auxiliary systems and using the bimatrix as a fundamental tool, some analysis and design problems including solutions, controllability, observability, stability, pole assignment, stabilization, linear quadratic regulation (LQR), and state observer design are investigated. Criterion, conditions, and algorithms are provided in terms of the coefficients of the original system.
AB - This paper studies a class of complex-valued linear systems whose state evolution dependents on both the state vector and its conjugate. The complex-valued linear system comes from linear dynamical quantum control theory and is also encountered when a normal linear system is controlled by feedback containing both the state vector and its conjugate that can provide more design freedom. By introducing the concept of bimatrix and its properties, the considered system is transformed into an equivalent real-representation system and a non-equivalent complexlifting system, which are normal linear systems. Based on these two auxiliary systems and using the bimatrix as a fundamental tool, some analysis and design problems including solutions, controllability, observability, stability, pole assignment, stabilization, linear quadratic regulation (LQR), and state observer design are investigated. Criterion, conditions, and algorithms are provided in terms of the coefficients of the original system.
KW - complex-valued linear systems
KW - controllability and observability
KW - linear quadratic regulator
KW - pole assignment
KW - stability and stabilization
KW - state observer
UR - https://www.scopus.com/pages/publications/85050364027
U2 - 10.1109/CAC.2017.8244030
DO - 10.1109/CAC.2017.8244030
M3 - 会议稿件
AN - SCOPUS:85050364027
T3 - Proceedings - 2017 Chinese Automation Congress, CAC 2017
SP - 6947
EP - 6952
BT - Proceedings - 2017 Chinese Automation Congress, CAC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 Chinese Automation Congress, CAC 2017
Y2 - 20 October 2017 through 22 October 2017
ER -