Output-feedback stabilisation with prescribed degree of stability

Author

Benton, Robert E., Jr. ; Smith, Dirk

Author_Institution

Dept. of Mech. Eng., Louisiana State Univ., Baton Rouge, LA, USA

Volume

1

fYear

1997

fDate

4-6 Jun 1997

Firstpage

499

Abstract

The problem of finding a static-output-feedback matrix is restated. The new formulation replaces the solution of a set of inversely-coupled Lyapunov inequalities with the simultaneous solution to an algebraic Riccati inequality and a Lyapunov inequality. An algorithm is developed based on the restated problem. Unlike previous algorithms, the algorithm is non-iterative in linear matrix inequality (LMI) solutions. The algorithm may be used to prescribe a given degree of stability, while keeping the static-output-feedback gain small. Use of the algorithm is demonstrated via two examples

Keywords

Riccati equations; feedback; matrix algebra; stability; Lyapunov inequality; algebraic Riccati inequality; inversely-coupled Lyapunov inequalities; linear matrix inequality solutions; output-feedback stabilisation; prescribed degree of stability; static-output-feedback gain; static-output-feedback matrix; Algorithm design and analysis; Control systems; Control theory; Eigenvalues and eigenfunctions; Feedback control; Linear matrix inequalities; Mechanical engineering; Riccati equations; Stability; Transportation;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.611849

Filename

611849