Reduction of H state feedback control problems for the servo systems

Hayato Waki, Noboru Sebe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We study the strict feasibility of the linear matrix inequality (LMI) and its dual for H state feedback control problem for the multi-input multi-output (MIMO) servo system. Then we show that weighting functions with unstable zeros improve the numerical accuracy. We discuss the relationship between the zeros in the weighting function and the strict feasibility of the dual LMI. This is closely related to the numerical accuracy of LMI solvers because algorithms implemented in LMI solvers require the strict feasibility for both the LMI and its dual. Furthermore, we provide closed-form expression of the performance limitation when given plants have one or two unstable invariant zeros. The non-strict feasibility of the dual plays an essential role in the expression.

Original languageEnglish
Title of host publication2017 Asian Control Conference, ASCC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2244-2249
Number of pages6
Volume2018-January
ISBN (Electronic)9781509015733
DOIs
Publication statusPublished - Feb 7 2018
Event2017 11th Asian Control Conference, ASCC 2017 - Gold Coast, Australia
Duration: Dec 17 2017Dec 20 2017

Other

Other2017 11th Asian Control Conference, ASCC 2017
CountryAustralia
CityGold Coast
Period12/17/1712/20/17

Fingerprint

Servo System
State Feedback Control
Matrix Inequality
Linear Inequalities
Control Problem
Numerical Accuracy
Weighting Function
Zero
Unstable
Closed-form
Invariant
Output

All Science Journal Classification (ASJC) codes

  • Control and Optimization

Cite this

Waki, H., & Sebe, N. (2018). Reduction of H state feedback control problems for the servo systems. In 2017 Asian Control Conference, ASCC 2017 (Vol. 2018-January, pp. 2244-2249). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ASCC.2017.8287524

Reduction of H state feedback control problems for the servo systems. / Waki, Hayato; Sebe, Noboru.

2017 Asian Control Conference, ASCC 2017. Vol. 2018-January Institute of Electrical and Electronics Engineers Inc., 2018. p. 2244-2249.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Waki, H & Sebe, N 2018, Reduction of H state feedback control problems for the servo systems. in 2017 Asian Control Conference, ASCC 2017. vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 2244-2249, 2017 11th Asian Control Conference, ASCC 2017, Gold Coast, Australia, 12/17/17. https://doi.org/10.1109/ASCC.2017.8287524
Waki H, Sebe N. Reduction of H state feedback control problems for the servo systems. In 2017 Asian Control Conference, ASCC 2017. Vol. 2018-January. Institute of Electrical and Electronics Engineers Inc. 2018. p. 2244-2249 https://doi.org/10.1109/ASCC.2017.8287524
Waki, Hayato ; Sebe, Noboru. / Reduction of H state feedback control problems for the servo systems. 2017 Asian Control Conference, ASCC 2017. Vol. 2018-January Institute of Electrical and Electronics Engineers Inc., 2018. pp. 2244-2249
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