Brief Global robust disturbance attenuation and almost disturbance decoupling for uncertain cascaded nonlinear systems

  • Authors:
  • Weizhou Su;Lihua Xie;Carlos E. De Souza

  • Affiliations:
  • Department of Electrical and Computer Engineering, The University of Newcastle, NSW 2308, Australia;School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore;Department of Systems and Control, Laboratório Nacional de Computação CientficaLNCC/CNPq, Av. Getúlio Vargas 333, 25651-070 Petrópolis, RJ, Brazil

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1999

Quantified Score

Hi-index 22.14

Visualization

Abstract

This paper studies the problem of global robust H"~ disturbance attenuation for a class of non-minimum-phase nonlinear systems subject to parameter uncertainty. The problem addressed is the design of a state feedback controller such that the closed-loop system is input-to-state stable and the L"2-gain from the disturbance input to the controlled output is not larger than a prescribed value for all admissible parameter uncertainties. A recursive Lyapunov-based design approach is developed to construct the controller explicitly. The problem of global robust H"~ almost disturbance decoupling, where the level of disturbance attenuation can be made arbitrarily small for all allowed uncertainties, is also addressed.