Nonlinear time-varying compensation for simultaneous performance
نویسنده
چکیده
This short note considers the use of nonlinear timevarying compensation for linear time-invariant discrete-time plants. It is shown via counterexample that the problem of simultaneous performance presents fundamental limitations which cannot be overcome by nonlinear time-varying compensation. This result is in contrast to results on simultaneous stabilization which show that limitations due to linear compensation may be removed using nonlinear time-varying compensation. As a corollary of these results, the conjecture that achievable disturbance rejection over stable nonlinear timevarying compensation equals that for linear compensation is refuted.
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