Synthesis of feedback systems with nonlinear time-varying uncertain plants to satisfy quantitative performance specifications
- 1 January 1976
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE
- Vol. 64 (1) , 123-130
- https://doi.org/10.1109/proc.1976.10073
Abstract
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.Keywords
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