Brief paper: Output feedback design for saturated linear plants using deadzone loops

  • Authors:

  • Dan Dai;Tingshu Hu;Andrew R. Teel;Luca Zaccarian

  • Affiliations:

  • Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA 93106, USA;Department of Electrical and Computer Engineering, University of Massachusetts, Lowell, MA 01854, USA;Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA 93106, USA;Dipartimento di Informatica, Sistemi e Produzione, University of Rome, Tor Vergata, 00133 Rome, Italy

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2009

Quantified Score

Hi-index 22.15

Visualization

Abstract

In this paper, we present an LMI-based synthesis approach on output feedback design for input saturated linear systems by using deadzone loops. Algorithms are developed for minimizing the upper bound on the regional L"2 gain for exogenous inputs with L"2 norm bounded by a given value, and for minimizing this upper bound with a guaranteed reachable set or domain of attraction. The proposed synthesis approach will always lead to regionally stabilizing controllers if the plant is exponentially unstable, to semi-global results if the plant is non-exponentially unstable, and to global results if the plant is already exponentially stable, where the only requirement on the linear plant is detectability and stabilizability. The effectiveness of the proposed techniques is illustrated with one example.