Divided State Feedback Control of Stochastic Systems

Author

Xueyan Zhao ; Feiqi Deng

Author_Institution

Syst. Eng. Inst. & Sch. of Math., South China Univ. of Technol., Guangzhou, China

Volume

60

Issue

7

fYear

2015

fDate

Jul-15

Firstpage

1870

Lastpage

1885

Abstract

This paper concerns with the divided state feedback control of stochastic systems. First, the concepts of state extraction matrix and divided state feedback control are proposed. Secondly, a fine stability criterion is established for stochastic systems with dominating linear parts. Thirdly, the divided state feedback control of the delayed stochastic systems is investigated, the divided state feedback control law is designed and the corresponding stability criterion for the closed-loop system is established. Finally, divided fault tolerant control is investigated by way facing the cases with partial state information lost or delivered too late caused by the processes for sampling and signal transmission via networks. Two examples at the end of the paper are given to illustrate the usage and efficiency of the method proposed in the paper and the advantage of the divided state feedback control.

Keywords

closed loop systems; control system synthesis; fault tolerant control; matrix algebra; stability; state feedback; stochastic systems; closed-loop system; divided state feedback control design; fault tolerant control; stability criterion; state extraction matrix; stochastic system; Delay effects; Delays; Matrix decomposition; Stability criteria; State feedback; Stochastic systems; Divided state feedback control; Time delays; divided state feedback control; stability; stabilization; stochastic systems; time delays;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2015.2396647

Filename

7027166