Nash games for multiparameter singularly perturbed systems with uncertain small singular perturbation parameters

Author

Mukaidani, Hiroaki

Author_Institution

Graduate Sch. of Educ., Hiroshima Univ., Higashi-Hiroshima, Japan

Volume

52

Issue

9

fYear

2005

Firstpage

586

Lastpage

590

Abstract

In this paper, the linear quadratic Nash games for infinite horizon multiparameter singularly perturbed systems with uncertain singular perturbation parameters are discussed. The main contribution is that a construction of high-order approximations to a strategy that guarantees a desired performance level on the basis of the successive approximation is proposed. It is newly shown that the proposed high-order approximate strategy improves the cost performance.

Keywords

approximation theory; game theory; singularly perturbed systems; high-order approximation; linear quadratic Nash game; multiparameter singularly perturbed system; uncertain singular perturbation parameter; Approximation methods; Control systems; Cost function; Design methodology; Game theory; Helium; Infinite horizon; Nash equilibrium; Riccati equations; Vectors; Generalized cross-coupled multiparameter algebraic Riccati equation (GCMARE); multiparameter singularly perturbed systems (MSPS); successive approximation; uncertain small singular perturbation parameters;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2005.850779

Filename

1510883