Reduction of H∞ state feedback control problems for the servo systems

Hayato Waki; Noboru Sebe

doi:10.1109/ASCC.2017.8287524

Reduction of H_∞ state feedback control problems for the servo systems

Hayato Waki, Noboru Sebe

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 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 language	English
Title of host publication	2017 Asian Control Conference, ASCC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2244-2249
Number of pages	6
ISBN (Electronic)	9781509015733
DOIs	https://doi.org/10.1109/ASCC.2017.8287524
Publication status	Published - Feb 7 2018
Event	2017 11th Asian Control Conference, ASCC 2017 - Gold Coast, Australia Duration: Dec 17 2017 → Dec 20 2017

Publication series

Name	2017 Asian Control Conference, ASCC 2017
Volume	2018-January

Other

Other	2017 11th Asian Control Conference, ASCC 2017
Country/Territory	Australia
City	Gold Coast
Period	12/17/17 → 12/20/17

All Science Journal Classification (ASJC) codes

Control and Optimization

Access to Document

10.1109/ASCC.2017.8287524

Cite this

Reduction of H_∞ state feedback control problems for the servo systems. / Waki, Hayato; Sebe, Noboru.
2017 Asian Control Conference, ASCC 2017. Institute of Electrical and Electronics Engineers Inc., 2018. p. 2244-2249 (2017 Asian Control Conference, ASCC 2017; Vol. 2018-January).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Waki, H & Sebe, N 2018, Reduction of H_∞ state feedback control problems for the servo systems. in 2017 Asian Control Conference, ASCC 2017. 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

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