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Synthesis of feedback systems with nonlinear time-varying uncertain plants to satisfy quantitative performance specifications

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1 Author(s)
Horowitz, I.M. ; Weizmann Institute of Science, Rehovot, Israel

A synthesis procedure for systems with a nonlinear time-varying constrained part (plant) with uncertain parameters, subjected to a finite set of deterministic command and disturbance inputs I = {iα} is presented. The design must guarantee that in response to iα, the system output cα∈ Sα, despite the plant uncertainty, where Sαis a prescribed set of acceptable responses, for that α value. The basic design philosophy is to convert the uncertain nonlinear plant set into an "equivalent" uncertain-linear time-invariant plant set. A synthesis procedure exists for the latter problem. Schauder's fixed-point theorem is used to prove that the resulting design satisfies the nonlinear problem. The final design emerges, in general, with linear and nonlinear time-varying compensation networks. Two design examples are included.

Published in:

Proceedings of the IEEE  (Volume:64 ,  Issue: 1 )