Finite-time control for linear discrete-time systems with input constraints

  • Authors:
  • Hiroyuki Ichihara;Hitoshi Katayama

  • Affiliations:
  • Department of Systems Design and Informatics, Kyushu Institute of Technology, Lizuka, Japan;Department of Electrical and Electronic Engineering, Shizuoka University, Hamamatsu, Japan

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

Finite-time stabilization (FTS) and finite-time boundedness (FTB) control with input constraints are considered for linear discrete-time time-invariant systems. Design methods of state feedback and observer-based output feedback FTS/FTB controllers that satisfy input constraints are proposed based on reachable sets in finite-time period. Less conservative design method of controllers for the maximum magnitude of input signals is also given. Numerical examples are shown to illustrate the proposed design methods.