Title :
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
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;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2005.850779
