Stabilization and H∞ control of a class of nonlinear Hamiltonian descriptor systems with actuator saturation

Author

Song Wenqing ; Sun Liying ; Li Kang

Author_Institution

Sch. of Math., Univ. of Jinan, Jinan, China

fYear

2012

fDate

15-17 Aug. 2012

Firstpage

442

Lastpage

447

Abstract

This paper investigates the stabilization and H_∞ control of a class of nonlinear Hamiltonian descriptor systems with actuator saturation. Based on the structural characteristic of the nonlinear Hamiltonian descriptor system, an equivalent nonlinear Hamiltonian differential-algebraic system is obtained. Using a suitable state feedback and compensation to express the actuator saturation, a stabilization control law is developed under the state feedback, and based on which an H_∞ controller is designed for the nonlinear Hamiltonian descriptor systems with actuator saturation and external disturbances.

Keywords

H^∞ control; actuators; compensation; control system synthesis; differential algebraic equations; nonlinear control systems; singularly perturbed systems; stability; state feedback; H_∞ controller design; actuator saturation; compensation; external disturbances; nonlinear Hamiltonian descriptor systems; nonlinear Hamiltonian differential-algebraic system; singular systems; stabilization control law; state feedback; structural characteristic; Actuators; Educational institutions; Indexes; Linear matrix inequalities; Stability analysis; State feedback; Actuator saturation; H∞ control; Nonlinear Hamiltonian descriptor systems; Stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Automation and Logistics (ICAL), 2012 IEEE International Conference on

Conference_Location

Zhengzhou

ISSN

2161-8151

Print_ISBN

978-1-4673-0362-0

Electronic_ISBN

2161-8151

Type

conf

DOI

10.1109/ICAL.2012.6308247

Filename

6308247