TY - JOUR

T1 - H2-Optimal synthesis problem with

AU - Veremey, Evgeny I.

PY - 2016

Y1 - 2016

N2 - The paper is devoted to H2-optimization problem for LTI systems with scalar control and external disturbance and with multivariate no noisy measurement signal. This problem has a significant specific feature: its solution is no unique. Besides, the absence of the measurement noise makes this problem irregular with respect to standards of H-theory. To obtain the numerical solution, one can use traditional approaches based on the various modifications of 2-Riccati or LMI technique. Nevertheless, to increase a computational efficiency of the synthesis, it is quite appropriate to use a special spectral approach to the problem in frequency domain. A theory of this issue is presented and computational scheme is proposed for practical implementation.

AB - The paper is devoted to H2-optimization problem for LTI systems with scalar control and external disturbance and with multivariate no noisy measurement signal. This problem has a significant specific feature: its solution is no unique. Besides, the absence of the measurement noise makes this problem irregular with respect to standards of H-theory. To obtain the numerical solution, one can use traditional approaches based on the various modifications of 2-Riccati or LMI technique. Nevertheless, to increase a computational efficiency of the synthesis, it is quite appropriate to use a special spectral approach to the problem in frequency domain. A theory of this issue is presented and computational scheme is proposed for practical implementation.

KW - Control system

KW - Feedback

KW - Functiona

KW - H2-control

KW - Optimization

UR - http://www.scopus.com/inward/record.url?scp=84979297874&partnerID=8YFLogxK

U2 - 10.12988/ams.2016.63120

DO - 10.12988/ams.2016.63120

M3 - Article

AN - SCOPUS:84979297874

VL - 10

SP - 1891

EP - 1905

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 37-40

ER -