ASYMPTOTIC TRACKING IN UNCERTAIN VOLTERRA SYSTEMS

摘要

This paper studies the robust tracking problem for an uncertain Volterra system via the frequency-domain approach. Based on the knowledge that the steady-state response of a Volterra system under the sinusoidal input contains possibly infinitely many frequency components, it is shown that (1) for any specified finitely many frequency components possibly contained in the steady-state tracking error, there exists a linear controller that robustly annihilates these components; and (2) robust tracking is possible by a linear controller provided that the Volterra system of the closed-loop system is polynomial. These results can be viewed as a nonlinear analog of the well-known linear robust servomechanism theory developed in the 1970s. (C) 1997 Elsevier Science B.V. [References: 18]