The graph topology for linear plants with applications to nonlinear robust stabilization

Author

Pascoal, Antonio M. ; Ravi, R. ; Khargonekar, Pramod P.

Author_Institution

Dept. of Electr. Eng., Inst. Superior Tecnico, Lisbon, Portugal

Volume

38

Issue

2

fYear

1993

fDate

2/1/1993 12:00:00 AM

Firstpage

298

Lastpage

302

Abstract

The graph topology is defined for the set of finite-dimensional linear time-varying plants that are internally stabilizable by output feedback. This follows some earlier results of M. Vidyasagar et al. (1982) on time-invariant systems. Feedback connections of linear time-varying plants and general nonlinear time-varying controllers are considered, and it is shown that the graph topology is the weakest topology in which feedback stabilization is a robust property. Using this result, necessary and sufficient conditions for robust stabilizability of families of linear time-varying plants with parametric uncertainty are derived

Keywords

graph theory; linear systems; multidimensional systems; nonlinear control systems; stability; time-varying systems; finite-dimensional linear time-varying plants; graph topology; nonlinear robust stabilization; output feedback; parametric uncertainty; stability; Adaptive control; Control systems; Linear feedback control systems; Output feedback; Robust control; Robust stability; Robustness; Sufficient conditions; Time varying systems; Topology;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.250477

Filename

250477