TY - GEN
T1 - A negative imaginary approach to hybrid integrator-gain system control
AU - Shi, Kanghong
AU - Nikooienejad, Nastaran
AU - Petersen, Ian R.
AU - Moheimani, S. O.Reza
N1 - Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - In this paper, we show that a hybrid integrator-gain system (HIGS) is a nonlinear negative imaginary (NNI) system. We prove that the positive feedback interconnection of a linear negative imaginary (NI) system and a HIGS is asymptotically stable. We apply the HIGS to a MEMS nanopositioner, as an example of a linear NI system, in a single-input single-output framework. We analyze the stability and the performance of the closed-loop interconnection in both time and frequency domains through simulations and demonstrate the applicability of HIGS as an NNI controller to a linear NI system.
AB - In this paper, we show that a hybrid integrator-gain system (HIGS) is a nonlinear negative imaginary (NNI) system. We prove that the positive feedback interconnection of a linear negative imaginary (NI) system and a HIGS is asymptotically stable. We apply the HIGS to a MEMS nanopositioner, as an example of a linear NI system, in a single-input single-output framework. We analyze the stability and the performance of the closed-loop interconnection in both time and frequency domains through simulations and demonstrate the applicability of HIGS as an NNI controller to a linear NI system.
KW - (nonlinear) negative imaginary systems
KW - hybrid integrator-gain systems
KW - robust control
UR - https://www.scopus.com/pages/publications/85146988068
U2 - 10.1109/CDC51059.2022.9992758
DO - 10.1109/CDC51059.2022.9992758
M3 - Conference Paper
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1968
EP - 1973
BT - 2022 IEEE 61st Conference on Decision and Control, CDC 2022
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 61st IEEE Conference on Decision and Control, CDC 2022
Y2 - 6 December 2022 through 9 December 2022
ER -