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Journal of Intelligent & Robotic Systems

, Volume 94, Issue 2, pp 405–421 | Cite as

Analysis and Design of a Time-Varying Extended State Observer for a Class of Nonlinear Systems with Unknown Dynamics Using Spectral Lyapunov Function

  • Mehran Attar
  • Vahid Johari MajdEmail author
  • Navid Dini
Article
  • 46 Downloads

Abstract

In this study, a novel strategy based on the integration of differential algebraic spectral theory (DAST) and spectral Lyapunov function is presented to analyze and design a time-varying extended state observer (TESO) for a class of nonlinear systems with unknown dynamics. The simultaneous estimation of the lumped disturbance and state vectors are achieved by using a TESO based on the time-varying parallel differential (PD) eigenvalues of the observer. The observer bandwidth design is based on the combination of DAST and spectral Lyapunov function. By using this method, a systematic approach is derived to obtain the observer parameters, which improves boundedness of the observer estimation error in terms of transient and persistent performance. A comparison between TESO and previous similar methods is provided in the simulation part upon the TMUBOT quadruped robot dynamic model which indicates a distinguished answer in the estimation error of the TESO. Moreover, by applying the proposed algorithm to the TMUBOT robot, the superiority of the algorithm in practical schemes will be illustrated.

Keywords

Active disturbance rejection control Extended state observer Differential algebraic spectral theory Spectral Lyapunov function 

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© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Intelligent Control Systems Laboratory, School of Electrical and Computer EngineeringTarbiat Modares UniversityTehranIran

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