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
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.conferencearticle???
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 -