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Realizations of nonlinear systems

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Abstract

Given the Volterra series representation of a single input, single output nonlinear system, we examine conditions on the Volterra kernels that determine if the system is in some sense equivalent to a linear system. The systems considered herein are known as “feedback linearizable” systems. Feedback linearizable systems are usually discussed in terms of their state-space representations. A key result relates the Volterra series description of a feedback linearizable system to its state-space description.

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Authors and Affiliations

  1. School of Natural Sciences and Mathematics, The University of Texas at Dallas, 75083-0688, Richardson, Texas, USA

    L. R. Hunt

  2. Erik Jonsson School of Engineering and Computer Science, The University of Texas at Dallas, 75083-0688, Richardson, Texas, USA

    D. A. Linebarger & R. D. DeGroat

Authors
  1. L. R. Hunt
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  2. D. A. Linebarger
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  3. R. D. DeGroat
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Additional information

Research supported by NASA Ames Research Center under Grant NAG 2-366, Supplement No. 1.

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Hunt, L.R., Linebarger, D.A. & DeGroat, R.D. Realizations of nonlinear systems. Circuits Systems and Signal Process 8, 487–506 (1989). https://doi.org/10.1007/BF01599769

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