Analysis of implicitly defined systems

Author

Paganini, Fernando ; Doyle, John

Author_Institution

California Inst. of Technol., Pasadena, CA, USA

Volume

4

fYear

1994

Firstpage

3673

Abstract

An alternative paradigm is considered for robustness analysis, where systems are described in implicit form. The central role in this formulation is played by equations rather than input-output maps. The framework for robust stability analysis is appropriately extended, and a necessary and sufficient condition is proved for the case of arbitrary structured norm bounded perturbations. Finally, the constant matrix version of this framework is considered, leading to an extension of the structured singular value μ; the corresponding upper bound theory is developed fully

Keywords

control system analysis; identification; matrix algebra; robust control; uncertain systems; constant matrix; implicitly defined systems; linear fractional transformation; necessary condition; perturbations; robust stability; robustness analysis; structured singular value; sufficient condition; uncertain systems; upper bound; Integral equations; Performance analysis; Robust control; Robust stability; Robustness; Sufficient conditions; System identification; Uncertain systems; Uncertainty; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on

Conference_Location

Lake Buena Vista, FL

Print_ISBN

0-7803-1968-0

Type

conf

DOI

10.1109/CDC.1994.411726

Filename

411726