Deterministic and stochastic robustness measures for discrete systems

Author

Yaz, Engin

Author_Institution

Dept. of Electr. Eng., Arkansas Univ., Fayetteville, AR, USA

Volume

33

Issue

10

fYear

1988

fDate

10/1/1988 12:00:00 AM

Firstpage

952

Lastpage

955

Abstract

Deterministic and stochastic Lyapunov theorems are used to demonstrate the robustness of a stable linear, time-variant, discrete-time nominal system to both unknown deterministic and stochastic perturbations. Time-domain conditions are presented on the appropriate deterministic or random characteristics of perturbations to maintain the proper stability behavior of the overall system. It is concluded that the novel robustness conditions proposed can find application in the feedback design of control systems where the closed-loop system is known to be stable with a certain degree, e.g. as in the case of linear quadratic optimal control with α-degree of prescribed stability

Keywords

Lyapunov methods; discrete time systems; feedback; stability; time-domain analysis; Lyapunov theorems; closed-loop system; deterministic robustness; discrete-time nominal system; feedback; linear systems; perturbations; stability; stochastic robustness; time domain; Automatic control; Control systems; Damping; Feedback; Noise robustness; Nonlinear systems; Robust control; Robust stability; Stochastic processes; Stochastic systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.7253

Filename

7253