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A class of adaptive predefined-time extended state observers for high-order strict-feedback systems
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  • Xiaozhe Ju,
  • Jixing Lv,
  • changhong wang,
  • Yonggui Kao,
  • Yushi Jiang
Xiaozhe Ju
Harbin Institute of Technology

Corresponding Author:[email protected]

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Jixing Lv
Harbin Institute of Technology
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changhong wang
Harbin Institute of Technology
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Yonggui Kao
Harbin Institute of Technology Weihai
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Yushi Jiang
Beijing Institute of Space Long March Vehicle
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Abstract

In this paper, we consider the predefined-time extended state observer (PTESO) design for a class of high-order strict-feedback systems subject to Hölder continuous nonlinearities and multiple disturbances. By developing an adaptive mechanism and using time-varying functions, a class of adaptive PTESOs is designed, in which the convergence time can be tightly and explicitly preset by only one parameter, irrelevant to the initial conditions. The adaptive mechanism is used to improve the transient performance under wide-range lumped disturbance. Moreover, thanks to the design of the time-varying gains, the PTESO could realize fast observation with trivial peaking observation errors. Finally, simulation results are provided to illustrate the effectiveness of the proposed observer.