Recent advances in singularly perturbed control systems-high accuracy techniques

Author

Gajic, Zoran ; Shen, Xuemin

Author_Institution

Dept. of Electr. & Comput. Eng., Rutgers Univ., Piscataway, NJ, USA

Volume

3

fYear

1998

fDate

21-26 Jun 1998

Firstpage

1526

Abstract

We give the summary of main results obtained in the context of singularly perturbed linear control systems within the last ten years with emphasis on the recursive approach, exact closed-loop decomposition transformation (Hamiltonian approach), and integral manifold theory-high accuracy techniques. In addition, we indicate the recent results obtained for H_∞ optimal control and filtering, jump parameter linear systems, control of robots, stability bounds, Markov chains, and nonlinear singularly perturbed systems

Keywords

H^∞ control; Markov processes; closed loop systems; filtering theory; linear systems; nonlinear systems; robots; singularly perturbed systems; stability; stochastic systems; H_∞ control; Hamiltonian method; Markov chains; closed-loop decomposition; filtering; integral manifold theory; jump parameter systems; linear systems; nonlinear systems; optimal control; recursive method; robots; singularly perturbed systems; stability; Control systems; Filtering; Linear systems; Nonlinear control systems; Nonlinear filters; Optimal control; Riccati equations; Robot control; Stability; Taylor series;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.707234

Filename

707234