TY - JOUR

T1 - Reduction-Based Robustness Analysis of Linear Predictor Feedback for Distributed Input Delays

AU - Ponomarev, Anton

PY - 2016

Y1 - 2016

N2 - Lyapunov–Krasovskii approach is applied to parameter- and delay-robustness analysis of the feedback suggested by Manitius and Olbrot for a linear time-invariant system with distributed input delay. A functional is designed based on Artstein’s system reduction technique. It depends on the norms of the reduction-transformed plant state and original actuator state. The functional is used to prove that the feedback is stabilizing when there is a slight mismatch in the system matrices and delay values between the plant and controller.

AB - Lyapunov–Krasovskii approach is applied to parameter- and delay-robustness analysis of the feedback suggested by Manitius and Olbrot for a linear time-invariant system with distributed input delay. A functional is designed based on Artstein’s system reduction technique. It depends on the norms of the reduction-transformed plant state and original actuator state. The functional is used to prove that the feedback is stabilizing when there is a slight mismatch in the system matrices and delay values between the plant and controller.

KW - delay systems

KW - Lyapunov methods

KW - predictive control for linear systems

KW - robust control

U2 - 10.1109/TAC.2015.2437520

DO - 10.1109/TAC.2015.2437520

M3 - статья

VL - 61

SP - 468

EP - 472

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 2

ER -