Design of decentralized, practically stabilizing controllers for a class of interconnected retarded systems

Author

Pepe, P. ; Ito, H. ; Jiang, Z.-P.

Author_Institution

Dept. of Inf. Eng., Comput. Sci., & Math., Univ. of L´Aquila, L´Aquila, Italy

fYear

2014

fDate

15-17 Dec. 2014

Firstpage

1209

Lastpage

1214

Abstract

In this paper, we provide a constructive methodology for the design of decentralized control laws for a class of interconnected retarded systems subject to actuator disturbances. We consider Control Lyapunov-Krasovskii functionals for only subsystems, thus reducing the difficulty with respect to finding an overall functional, and then provide a controller which, by means of a small-gain condition, guarantees practical input-to-state stability with respect to disturbances. If the disturbances are bounded, the controller allows to drive the system variables to any small neighborhood of the origin, by suitably tuning a control parameter.

Keywords

Lyapunov methods; decentralised control; interconnected systems; stability; Lyapunov-Krasovskii functionals; actuator disturbances; decentralized controllers; input-to-state stability; interconnected retarded systems; stabilizing controllers; Actuators; Aerospace electronics; Closed loop systems; Delay effects; Feedback control; Interconnected systems; State feedback; Control Lyapunov-Krasovskii Functionals; Input-to-State Stability; Nonlinear Systems; Retarded Functional Differential Equations; Small-Gain Theorem;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on

Conference_Location

Los Angeles, CA

Print_ISBN

978-1-4799-7746-8

Type

conf

DOI

10.1109/CDC.2014.7039546

Filename

7039546