Simultaneous stabilization under unstructured uncertainties: two nominal plants case

Author

Liu, Yong ; Yedavalli, Rama K. ; Dorato, Peter

Author_Institution

Dept. of Aeronaut. & Astronaut. Eng., Ohio State Univ., Columbus, OH, USA

fYear

1990

fDate

5-7 Dec 1990

Firstpage

3487

Abstract

A necessary and sufficient condition is obtained for simultaneous stabilizability of two sets of linear time-invariant systems with each set being inside a frequency-domain neighborhood of the nominal system. The necessary and sufficient condition is derived on the basis of interpolation with unit function in H_∞. For some simplified cases, verifiable sufficient conditions for this stabilizability are derived. The construction of the desired stabilizing compensator under such sufficient conditions can be obtained by solving a nonlinear programming problem

Keywords

compensation; control system synthesis; interpolation; nonlinear programming; optimal control; stability criteria; H_∞; frequency-domain neighborhood; interpolation; linear time-invariant systems; necessary and sufficient condition; simultaneous stabilizability; stabilizing compensator; unstructured uncertainties; Aerodynamics; Aerospace engineering; Computer aided software engineering; Frequency domain analysis; Interpolation; Robust control; Robust stability; Robustness; Sufficient conditions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1990., Proceedings of the 29th IEEE Conference on

Conference_Location

Honolulu, HI

Type

conf

DOI

10.1109/CDC.1990.203451

Filename

203451