Title :
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
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;
Conference_Titel :
ICCAS-SICE, 2009
Conference_Location :
Fukuoka
Print_ISBN :
978-4-907764-34-0
Electronic_ISBN :
978-4-907764-33-3
