A Study on quadratic stability of optimal regulators under gain adjustment

Author

Inui, Takayuki ; Hagiwara, Tomomichi

Author_Institution

Dept. of Electr. Eng., Kyoto Univ., Kyoto, Japan

fYear

2009

fDate

18-21 Aug. 2009

Firstpage

1504

Lastpage

1509

Abstract

The objective of this paper is to show an online adjustment method of the state feedback gains for multiinput multi-output optimal regulators via the quadratic stability arguments. We first give a region of state feedback gains containing the nominal optimal gain such that quadratic stability is ensured for all time-invariant state feedback gains in the region. We then show that under some mild conditions, quadratic stability is retained for arbitrary time-varying adjustment of the state feedback gain within this region via the concept of strong uniform complete observability.

Keywords

MIMO systems; controllers; gain control; observability; optimal control; stability; state feedback; multi-input multi-output optimal regulator; observability; online adjustment method; quadratic stability; time-invariant state feedback gain; time-varying adjustment; Control systems; Cost function; Linear feedback control systems; Observability; Optimal control; Regulators; Riccati equations; Stability; State feedback; Symmetric matrices; gain margin; online tuning; optimal regulator; quadratic stability; strong uniform complete observability;

fLanguage

English

Publisher

ieee

Conference_Titel

ICCAS-SICE, 2009

Conference_Location

Fukuoka

Print_ISBN

978-4-907764-34-0

Electronic_ISBN

978-4-907764-33-3

Type

conf

Filename

5335375