On initial instantaneous jumps of singular systems

Author

Liu, W.Q. ; Yan, W.Y. ; Teo, K.L.

Author_Institution

Dept. of Math., Western Australia Univ., Nedlands, WA, Australia

Volume

40

Issue

9

fYear

1995

fDate

9/1/1995 12:00:00 AM

Firstpage

1650

Lastpage

1655

Abstract

This paper is concerned with instantaneous jumps in the state trajectory of a singular system. It is shown that such jumps generically exist at the initial time due to inconsistent initial states. The formula for the jumps is derived, which indicates that the jumps linearly depend on the initial state. Moreover, the set of all initial states which do not cause any state jumps for any output feedback is characterized and is revealed to be a linear subspace. In the meantime, the necessary and sufficient conditions are given for the existence of an output feedback to suppress completely the jumps for a given initial state. Finally, we formulate the problem of designing an output feedback not only to stabilize the plant but also to achieve minimum initial jumps as a minimization problem

Keywords

feedback; matrix algebra; minimisation; stochastic systems; initial instantaneous jumps; minimization; necessary condition; output feedback; singular systems; state jumps; state trajectory; sufficient condition; Automatic control; Control systems; Linear systems; Matrices; Nonlinear filters; Optimal control; Output feedback; Stability; Sufficient conditions; Time varying systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.412639

Filename

412639