Robust Adaptive Control and L2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay

Abstract EN

This paper deals with the robust stabilizability and L2 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 L2 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.