Eigenstructure assignment for LTI systems with stochastic parameter variations

Author

Seo, Young Bong ; Choi, Jae Weon ; Lee, Man Hyung

Author_Institution

Sch. of Mech. Eng., Pusan Nat. Univ., South Korea

Volume

6

fYear

2000

fDate

2000

Firstpage

3812

Abstract

In this paper, we present a method that has the capability of exact assignment of eigenstructure with the stochastic robustness for LTI (linear time-invariant) systems. The stochastic robustness of LTI systems is determined by the probability distributions of closed-loop eigenvalues. The stability region for a system is presented stochastically based upon the Monte Carlo evaluations. The proposed scheme is applied to designing a simple system and a flight control system with stochastic parameter variations to confirm the usefulness of the scheme

Keywords

Monte Carlo methods; closed loop systems; eigenstructure assignment; linear systems; robust control; stability criteria; stochastic systems; LTI systems; Monte Carlo evaluations; closed-loop eigenvalues; eigenstructure assignment; flight control system; linear time-invariant systems; probability distributions; stability region; stochastic parameter variations; stochastic robustness; Aerospace control; Eigenvalues and eigenfunctions; Mechanical engineering; Monte Carlo methods; Probability distribution; Robust stability; Robustness; Stochastic processes; Stochastic systems; Uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.876935

Filename

876935