Conservativeness of State-Dependent Riccati Inequality :Effect of free parameters of State-Dependent Coefficient form

Author

Sakayanagi, Yoshihiro ; Nakaura, Shigeki ; Sampei, Mitsuji

Author_Institution

Dept. of Mech. & Control Eng., Tokyo Inst. of Technol., Tokyo, Japan

fYear

2008

fDate

9-11 Dec. 2008

Firstpage

4147

Lastpage

4151

Abstract

Recently, nonlinear H_Â¿ control theory has been paid attention. The solvable condition of nonlinear H_Â¿ control problem is given by the Hamilton Jacobi inequality (HJI). State-Dependent Riccati Inequality (SDRI) is one of approaches to solve the HJI. The SDRI contains state-dependent coefficient (SDC) form of a nonlinear system. The SDC form is not unique, so free parameters of it is considered. If bad SDC form is chosen, then there is no solution of SDRI. In this paper, the relationship between free parameters and SDRI is clarified. The free parameters are generated when SDRI is derived from HJI. And they affect the conservativeness of SDRI. Then new method of design free parameters which reduces the conservativeness of SDRI is proposed. Finally, numerical examples to verify the effect of this method is shown.

Keywords

H^Â¿ control; control system synthesis; nonlinear control systems; Hamilton Jacobi inequality; nonlinear H_Â¿ control theory; state-dependent Riccati Inequality; state-dependent Riccati inequality; state-dependent coefficient form; Control engineering; Control systems; Control theory; Design methodology; Jacobian matrices; Linear feedback control systems; Linear matrix inequalities; MATLAB; Nonlinear systems; Riccati equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Conference_Location

Cancun

ISSN

0191-2216

Print_ISBN

978-1-4244-3123-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2008.4738681

Filename

4738681