Robust Adaptive Control andL2Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay

摘要

This paper deals with the robust stabilizability andL2disturbance attenuation for a class of time-delay Hamiltoniancontrol systems with uncertainties and external disturbances. Firstly, the robust stability of the given systems is studied, anddelay-dependent criteria are established based on the dissipativestructural properties of the Hamiltonian systems and theLyapunov-Krasovskii (L-K) functional approach. Secondly, theproblem ofL2disturbance attenuation is considered for theHamiltonian systems subject to external disturbances. An adaptivecontrol law is designed corresponding to the time-varying delaypattern involved in the systems. It is shown that the closed-loopsystems under the feedback control law can guarantee theγ-dissipative inequalities be satisfied. Finally, two numericalexamples are provided to illustrate the theoretical developments.