Memory state feedback control synthesis for linear systems with time delay via a finite number of linear matrix inequalities

• Published in: Computers & electrical engineering Vol. 28; no. 3; pp. 217 - 228
• Main Authors: Azuma, Takehito, Ikeda, Kojiro, Kondo, Taku, Uchida, Kenko
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.05.2002
• Subjects: Linear matrix inequalities; State feedback control; Time-delay systems; Time-delay systems; State feedback control; Linear matrix inequalities
• ISSN: 0045-7906; 1879-0755
• DOI: 10.1016/S0045-7906(01)00057-X

In this paper, we consider a synthesis problem of delay-dependent memory state feedback control which stabilizes linear time-delay systems. First we derive conditions for stability analysis and controller synthesis in the form of infinite-dimensional (parameter-dependent) linear matrix inequalities (LMIs), while infinite dimensionality of the LMIs may lead to less conservative results, but makes the conditions difficult to use. Second we show a technique to reduce the infinite-dimensional LMIs to a finite number of LMIs. A numerical example is given to demonstrate out approach.