Non-linear QFT synthesis by local linearization

Alfonso Baños, Oded Yaniv, Francisco J. Montoya

Research output: Contribution to journalArticlepeer-review


Existing non-linear quantitive feedback theory (QFT) techniques are based on some form of linearization of the nonlinear plant, where the quality of the controller is a function of the equivalent linearized plant. We propose a new approach to non-linear QFT, based on local linearization of the non-linear plant about closed-loop acceptable outputs. Here, acceptable outputs appear as uncertain parameters in an equivalent linear family, being a generalization of the more traditional linearization about equilibrium points. In some applications, this technique may give better results and is an alternative when the other existing techniques fail. A comparison of this technique to previous ones using an uncertain Van der Pol plant considered previously in the QFT literature, and a pH control system, is presented.

Original languageEnglish
Pages (from-to)429-436
Number of pages8
JournalInternational Journal of Control
Issue number5
StatePublished - 20 Mar 2003


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