On the zero-input stability of control systems with Clegg integrators

Author

Hu, H. ; Zheng, Y. ; Chait, Y ; Hollot, C.V.

Author_Institution

Security Dynamics, Bedford, MA, USA

Volume

1

fYear

1997

fDate

4-6 Jun 1997

Firstpage

408

Abstract

We consider control systems utilizing so-called Clegg integrators. A Clegg integrator is a linear integrator with reset mechanism whose describing function 1.62/ω ∠-38.1° has magnitude slope equivalent to that of a linear integrator, but with 51 less degrees of phase lag. The potential advantages of using Clegg integrators to meet stringent design specifications has been demonstrated in the literature, however, stability analyses are missing. This paper addresses the zero-input stability of such control systems and provides a definitive stability condition for second-order plants as well as a providing preliminary results for higher-order plants

Keywords

closed loop systems; feedback; stability; state-space methods; transfer functions; Clegg integrators; control systems; higher-order plants; linear integrator; reset mechanism; second-order plants; stability condition; stringent design specifications; zero-input stability; Control systems; Equations; Frequency response; Security; Signal design; Stability analysis; Steady-state; Sufficient conditions; Transfer functions;

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.1997.611829

Filename

611829