L 2 disturbance attenuation for a class of time-delay Hamiltonian systems

Abstract

This paper considers the problem of L2-disturbance attenuation for a class of time-delay port-controlled Hamiltonian systems. A γ-dissipative inequality is established by using a proper control law and a storage function. Then based on the Razumikhin stability theorem, a sufficient condition is proposed for the asymptotically stability of the closed-loop system. Finally, the authors investigate the case that there are time-invariant uncertainties belonging to some convex bounded polytypic domain and an L2 disturbance attenuation control law is proposed. Study of illustrative example with simula- tion shows that the presented method in this paper works very well in the disturbance attenuation of time-delay Hamiltonian systems.