ISS control laws for stabilizable retarded systems by means of the Liapunov-Razumikhin methodology

Author

Pepe, Pierdomenico

Author_Institution

Dipt. di Ing. Elettr., Univ. degli Studi dell´´Aquila, L´´Aquila

fYear

2008

fDate

11-13 June 2008

Firstpage

5276

Lastpage

5281

Abstract

A disturbance adding to the control law is a typical situation in practice because of actuator errors. In this paper, state feedback control laws which provide input-to-state stability of the closed loop system with respect to a disturbance adding to the control law are investigated for state feedback stabilizable (in the case of disturbance equal to zero) retarded nonlinear systems. The formulas for the input-to-state stabilizing state feedback control law are provided by employing the Liapunov-Razumikhin methodology. An example taken from the past literature is investigated in details, showing the effectiveness and the applicability of the proposed control design.

Keywords

Lyapunov methods; closed loop systems; input-output stability; nonlinear control systems; state feedback; Liapunov-Razumikhin methodology; closed loop system; input-to-state stability; retarded nonlinear system; state feedback control; Actuators; Asymptotic stability; Closed loop systems; Control design; Control systems; Delay; Error correction; Nonlinear control systems; Nonlinear systems; State feedback; Input-to-State Stabilizability; Liapunov-Krasovskii Methodology; Liapunov-Razumikhin Methodology; Retarded Nonlinear Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2008

Conference_Location

Seattle, WA

ISSN

0743-1619

Print_ISBN

978-1-4244-2078-0

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2008.4587333

Filename

4587333