Linearized Model Matching for Single-Imput Nonlinear Systems.

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Abstract:

In recent years there has been rapid development of the closely-related pseudo-linearization and extended linearization approaches for design of nonlinear control laws for nonlinear systems. This paper adopts a frequency-domain viewpoint, and use results in an earlier document to formulate and solve a linearized model matching problem for single-input, multi-output nonlinear systems. The objective is to construct a nonlinear, dynamic, output feedback control law so that the resulting closed-loop system, when linearized about its family of constant operating points, has a linearization family with transfer function that matches exactly a given parameterized transfer function. If the given transfer function is parameter independent, then this problem can be viewed as a type of input-output pseudo-linearization problem.

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