TY - JOUR

T1 - Application of sub-predictor control for linear delayed stochastic systems

AU - Gershon, Eli

AU - Shaked, Uri

N1 - Publisher Copyright:
Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND license

PY - 2020

Y1 - 2020

N2 - The problem of robust predictor-based H∞ state-feedback control for uncertain continuous-time stochastic state-multiplicative retarded systems is extended to include a set of sub-predictors, thus considerably improving the control performance. The multiplicative noise appears in the system dynamic matrix and in the measurement matrix of the observed signal, while the delay resided in the input to the system. In this problem, a cost function is defined which is the expected value of the standard H∞ performance index with respect to the uncertain parameters. In the robust case, the solution is obtained via a simple set of linear matrix inequalities. We bring a detailed numerical example that demonstrates the superiority of designing state-feedback control via a set of sub predictor compared to a single predictor design.

AB - The problem of robust predictor-based H∞ state-feedback control for uncertain continuous-time stochastic state-multiplicative retarded systems is extended to include a set of sub-predictors, thus considerably improving the control performance. The multiplicative noise appears in the system dynamic matrix and in the measurement matrix of the observed signal, while the delay resided in the input to the system. In this problem, a cost function is defined which is the expected value of the standard H∞ performance index with respect to the uncertain parameters. In the robust case, the solution is obtained via a simple set of linear matrix inequalities. We bring a detailed numerical example that demonstrates the superiority of designing state-feedback control via a set of sub predictor compared to a single predictor design.

KW - Delayed systems

KW - Robust control

KW - Stochastic H control

KW - Sub-predictor control

UR - http://www.scopus.com/inward/record.url?scp=85105041983&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2020.12.539

DO - 10.1016/j.ifacol.2020.12.539

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AN - SCOPUS:85105041983

SN - 2405-8963

VL - 53

SP - 7185

EP - 7190

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 2

T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -