Some remarks on adaptive stabilization of infinite-dimensional second order systems

摘要

In this paper adaptive stabilization of infinite-dimensional undamped second order systems is considered in the case of the input and output operators being collocated. The advantage of the adaptive law is that good control performance can be automatically achieved even in the presence of various types of uncertainties. The adaptive stabilizer is constructed by the concept of high-gain output feedback. An energy-like function and a multiplier function are introduced and adaptive stabilization of the linear second order systems is analyzed. It is shown that the theory of adaptive stabilization can also applied to some nonlinear systems.