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Output feedback control of feedforward nonlinear systems with unknown output function and input matching uncertainty

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  • Chao Guo
  • Xue-Jun Xie

Abstract

This paper studies the problem of global output feedback control for a class of feedforward nonlinear systems with the unknown output function and input matching uncertainty, whose nonlinearities satisfy the linear growth condition on unmeasured states multiplying the unknown constant, polynomial-of-output and polynomial-of-input growth rates, where the value range of the power of polynomial-of-output growth rate is increased compared with the existing results. Under the new transformation, based on the dynamic gain method and backstepping method, by constructing a new extended state observer with two dynamic gains, an output feedback controller can be designed to ensure that all the signals of the closed-loop system are bounded, the states of the original system and the corresponding observer converge to zero, and the estimate of input matching uncertainty converges to its actual value.

Suggested Citation

  • Chao Guo & Xue-Jun Xie, 2020. "Output feedback control of feedforward nonlinear systems with unknown output function and input matching uncertainty," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(6), pages 971-986, April.
  • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:971-986
    DOI: 10.1080/00207721.2020.1746438
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