Title :
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
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;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
