Design issues in stochastic adaptive control of discrete-time systems using multiple models

Author

Xiang, C. ; Narendra, K.S.

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore

Volume

2

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

2183

Abstract

Several design issues in the stochastic adaptive control of discrete-time systems using multiple models are discussed in this paper. First, a memory factor is introduced in order to deal with time-varying environment. Next, the disturbance rejection problem is solved by proper parameterization of the multiple models. Following this, the relaxation of the strict positive realness condition is discussed. Finally, extensions to MIMO systems for both deterministic and stochastic cases is presented. By utilizing the interactor matrix, it is shown that all the stability analysis for the SISO systems can naturally be extended to MIMO systems.

Keywords

MIMO systems; adaptive control; discrete time systems; linear systems; matrix algebra; stability; stochastic systems; MIMO systems; SISO systems; adaptive control; discrete-time systems; disturbance rejection; interactor matrix; linear system; multiple models; parameterization; stability; stochastic systems; strict positive realness condition; Adaptive control; Delay estimation; Error correction; MIMO; Performance analysis; Stability analysis; Stochastic resonance; Stochastic systems; Vectors; White noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184855

Filename

1184855