Stabilization analysis of time-varying Hamiltonian systems with input delay

Author

Weiwei Sun ; Baozeng Fu

Author_Institution

Inst. of Autom., Qufu Normal Univ., Qufu, China

fYear

2014

fDate

28-30 July 2014

Firstpage

6124

Lastpage

6129

Abstract

The stabilization problem of time-varying port-controlled Hamiltonian (PCH) systems with input delay is addressed in this paper. Based on energy-shaping approach and using Lyapunov-Krasovskii (L-K) functional theorem, a feedback controller is proposed for the asymptotical stability of the closed-loop system in presence of delay. Like Casimir function is proposed to help shaping the Hamiltonian as a candidate of Lyapunov function in the extended systems. A numerical example is presented to illustrate the effectiveness of the results obtained in this paper.

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; delays; feedback; time-varying systems; Casimir function; L-K functional theorem; Lyapunov function; Lyapunov-Krasovskii functional theorem; PCH systems; asymptotical stability; closed-loop system; energy shaping approach; extended systems; feedback controller; input delay; stabilization analysis; stabilization problem; time varying port controlled Hamiltonian; time-varying Hamiltonian systems; Asymptotic stability; Closed loop systems; Delays; Educational institutions; Manifolds; Stability analysis; Time-varying systems; Energy-shaping; Hamiltonian systems with input delay; Like Casimir function; Stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895992

Filename

6895992