Robust stability and adaptive control of time-varying neutral systems

Author

Verriest, Erik I.

Author_Institution

Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

5

fYear

1999

fDate

1999

Firstpage

4690

Abstract

The Lyapunov-Krasovskii theory is extended to obtain sufficient conditions for the robust stability (independent of the delay) of linear neutral systems. Riccati-like equations are derived, relating the existence of a triple of positive definite matrices to the robust stability. By allowing time dependence of the delay itself, earlier results are extended. The approach is fruitful as it is readily adaptable to the design of stabilizability conditions under state and output feedback. As the existence proofs are constructive, they yield prescriptive stabilizing gains. An application to MRAC design for neutral systems is shown

Keywords

Lyapunov methods; Riccati equations; feedback; matrix algebra; model reference adaptive control systems; robust control; stability criteria; time-varying systems; Lyapunov-Krasovskii theory; MRACS; Riccati-like equations; adaptive control; control design; delay time dependence; existence proofs; linear neutral systems; output feedback; positive definite matrices; prescriptive stabilizing gains; robust stability; stabilizability conditions; state feedback; time-varying neutral systems; Adaptive control; Delay effects; Delay lines; Delay systems; Output feedback; Riccati equations; Robust stability; Robustness; Sufficient conditions; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.833283

Filename

833283