Adaptive H∞ control of a class of nonlinear Hamiltonian descriptor systems

Author

Zhang Changwen ; Sun Liying

Author_Institution

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

fYear

2013

Firstpage

2706

Lastpage

2711

Abstract

This paper investigates the stabilization and adaptive H_∞ control of a class of nonlinear Hamiltonian descriptor systems. Based on the structural characteristic of the nonlinear Hamiltonian descriptor system, a dissipative Hamiltonian descriptor system is obtained by a suitable state feedback. And then, the dissipative form is transformed into an equivalent dissipative Hamiltonian differential-algebraic system by using restricted system equivalent method. With the equivalent differential-algebraic system, the stabilization problem is discussed for the nonlinear Hamiltonian descriptor system, and an adaptive H_∞ control law is designed for the system.

Keywords

H^∞ control; adaptive control; control system synthesis; differential algebraic equations; nonlinear control systems; stability; state feedback; adaptive H_∞ control law design; dissipative Hamiltonian descriptor system; dissipative form; equivalent differential-algebraic system; equivalent dissipative Hamiltonian differential-algebraic system; nonlinear Hamiltonian descriptor system design; restricted system equivalent method; stabilization problem; state feedback; structural characteristic; Abstracts; Adaptive systems; Educational institutions; Electronic mail; Mathematics; State feedback; Sun; Adaptive H∞ control; Nonlinear Hamiltonian descriptor system; Stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639883