TY - GEN
T1 - Derivative-dependent control of stochastic systems via delayed feedback implementation
AU - Zhang, Jin
AU - Fridman, Emilia
N1 - Publisher Copyright:
© 2019 IEEE.
PY - 2019/12
Y1 - 2019/12
N2 - We study a delayed implementation of derivative-dependent control for the third-order vector stochastic systems. The derivatives are approximated by finite differences giving rise to a delayed feedback. Recently, a new method for designing of such feedback under continuous-time and sampled measurements was suggested in the deterministic case. In the present paper, we extend this design to stochastic systems. For the case of continuous-time measurements, a neutral type model transformation and appropriate Lyapunov functionals are employed to derive linear matrix inequalities (LMIs). The results are further extended to the sampled-data implementation. Numerical examples illustrate the efficiency of the results.
AB - We study a delayed implementation of derivative-dependent control for the third-order vector stochastic systems. The derivatives are approximated by finite differences giving rise to a delayed feedback. Recently, a new method for designing of such feedback under continuous-time and sampled measurements was suggested in the deterministic case. In the present paper, we extend this design to stochastic systems. For the case of continuous-time measurements, a neutral type model transformation and appropriate Lyapunov functionals are employed to derive linear matrix inequalities (LMIs). The results are further extended to the sampled-data implementation. Numerical examples illustrate the efficiency of the results.
UR - http://www.scopus.com/inward/record.url?scp=85082447602&partnerID=8YFLogxK
U2 - 10.1109/CDC40024.2019.9029504
DO - 10.1109/CDC40024.2019.9029504
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AN - SCOPUS:85082447602
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 66
EP - 71
BT - 2019 IEEE 58th Conference on Decision and Control, CDC 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 58th IEEE Conference on Decision and Control, CDC 2019
Y2 - 11 December 2019 through 13 December 2019
ER -