Stability and control for systems with state and input time delays: Application to chemical processes

Author

Huaizhong Li ; Lee, Peter L. ; Cameron, Ian T.

Author_Institution

Sch. of Eng., Murdoch Univ., Perth, WA, Australia

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

3720

Lastpage

3725

Abstract

This paper is concerned with stability and control problems of systems with delayed states or delayed inputs respectively. Delay-dependent results for the two problems are derived using an integral quadratic constraint approach. For the stability problem, we consider systems with two independent state delays. For the control problem, we deal with systems with delayed state and delayed input. Conditions are provided to find the upper bounds for the delays in both cases and the controller gain matrix for the control problem using linear matrix inequality (LMI) technique. An application to a continuous stirred tank reactor is also addressed.

Keywords

control system synthesis; delay systems; linear matrix inequalities; stability; LMI technique; chemical processes; continuous stirred tank reactor; controller gain matrix; independent state delays; input time delays; integral quadratic constraint approach; linear matrix inequality technique; stability problem; state systems; upper bounds; Chemical reactors; Delays; Linear matrix inequalities; Robustness; Stability analysis; Symmetric matrices; Upper bound; Delay systems; LMI; application; control synthesis; stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7099909