Input-to-state stabilization for nonlinear dual-rate sampled-data systems via approximate discrete-time model

  • Authors:

  • Xi Liu;Horacio J. Marquez;Yanping Lin

  • Affiliations:

  • Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada T6G 2G1;Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada T6G 2V4;Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada T6G 2G1 and Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Hom, Hong ...

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2008

Quantified Score

Hi-index 22.15

Visualization

Abstract

The problem of state feedback stabilization of nonlinear sampled-data systems is considered under the ''low measurement rate'' constraint. A dual-rate control scheme is proposed that utilizes a numerical integration scheme to approximately predict the current state. Given an approximate discrete-time model of a sampled nonlinear plant and given a family of controllers that stabilizes the plant model in input-to-state sense, we show that under some standard assumptions the closed loop dual-rate sampled data system is input-to-state stable in the semiglobal practical sense.