Abstract

This paper considers the problem of model following robust control of linear time-varying single-input single-output uncertain systems. Under some mild assumptions, we show that a minimum-phase uncertain system with known order and known relative degree can be controlled to achieve both robust stability and arbitrarily good model following performance by using a simple linear time invariant controller. The controller is of two-degree-of-freedom which involves prefiltering and high gain feedback compensation. The uncertainties in the system are allowed to be very large sizes with large rates of change. Our result generalizes similar results for linear and nonlinear time invariant systems.

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