Approximate feedback control for uncertain nonlinear systems

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6 Citations (Scopus)


Recent developments in geometrical linearization techniques cannot be directly applied to nonlinear chemical processes, such as those with unstable zeros. This paper deals with the problem of designing a robust tracking controller for uncertain nonlinear systems with a nonminimum phase. With the approximate linearization and parametric transformation algorithms, the actual output can converge to the desired trajectory with an arbitrary degree of accuracy. When the bounds of `lumped' uncertainties can be available, with the use of the easily estimating and feasible tuning scheme the overall system stability can be guaranteed. Inspired by the model-based control strategy, we introduce a minimum-phase, approximate model as an open-loop observer such that the observer-based controller has stable inverse and the asymptotic output regulation for uncertain, nonminimum-phase systems can be achieved. Finally, in the illustrative example, an adiabatic stirred-tank reactor using the Van de Vusse reaction, the present methodologies are verified, obtaining the expected results.

Original languageEnglish
Pages (from-to)1420-1431
Number of pages12
JournalIndustrial and Engineering Chemistry Research
Issue number4
Publication statusPublished - 1999 Jan 1

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering


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