TY - GEN
T1 - Balancing for Nonlinear Differential-Algebraic Control Systems
AU - Sarkar, Arijit
AU - Kawano, Yu
AU - Scherpen, Jacquelien M.A.
N1 - Publisher Copyright:
© 2024 AACC.
PY - 2024
Y1 - 2024
N2 - In this paper, we develop a balancing theory for nonlinear differential-algebraic control systems. We exploit the maximally controlled invariant submanifold to define the controllability and observability functions and to provide a balanced realization. We also construct a reduced-order model based on truncation of states which also preserves the constraints associated with the original system. Finally, we illustrate the results with an example.
AB - In this paper, we develop a balancing theory for nonlinear differential-algebraic control systems. We exploit the maximally controlled invariant submanifold to define the controllability and observability functions and to provide a balanced realization. We also construct a reduced-order model based on truncation of states which also preserves the constraints associated with the original system. Finally, we illustrate the results with an example.
KW - Model/Controller reduction, Differential-algebraic systems
UR - http://www.scopus.com/inward/record.url?scp=85204453235&partnerID=8YFLogxK
U2 - 10.23919/ACC60939.2024.10644344
DO - 10.23919/ACC60939.2024.10644344
M3 - Conference contribution
AN - SCOPUS:85204453235
T3 - Proceedings of the American Control Conference
SP - 3231
EP - 3236
BT - Prodeedings of the American Control Conference 2024 (ACC2024)
PB - IEEE
T2 - American Control Conference 2024 (ACC2024)
Y2 - 8 July 2024 through 12 July 2024
ER -