Robust Adaptive Control and L2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay. (4th September 2013)

• Record Type: Journal Article
• Authors: Sun, Weiwei; Pang, Guochen; Wang, Pan; Peng, Lianghong
• Other Names: Li Tao Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-09-04
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/183279
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper deals with the robust stabilizability and L 2 disturbance attenuation for a class of time-delay Hamiltonian control systems with uncertainties and external disturbances. Firstly, the robust stability of the given systems is studied, and delay-dependent criteria are established based on the dissipative structural properties of the Hamiltonian systems and the Lyapunov-Krasovskii (L-K) functional approach. Secondly, the problem of L 2 disturbance attenuation is considered for the Hamiltonian systems subject to external disturbances. An adaptive control law is designed corresponding to the time-varying delay pattern involved in the systems. It is shown that the closed-loop systems under the feedback control law can guarantee the γ -dissipative inequalities be satisfied. Finally, two numerical examples are provided to illustrate the theoretical developments.