Brief paper: Anti-windup synthesis for linear control systems with input saturation: Achieving regional, nonlinear performance

  • Authors:

  • Tingshu Hu;Andrew R. Teel;Luca Zaccarian

  • Affiliations:

  • 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:
  • 2008

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Abstract

In this paper, we present LMI-based synthesis tools for regional stability and performance of linear anti-windup compensators for linear control systems. We consider both static and dynamic compensators. Algorithms are developed that minimize the upper bound on the regional L"2 gain for exogenous inputs with L"2 norm bounded by a given value, and that minimize this upper bound with a guaranteed reachable set or domain of attraction. Based on the structure of the optimization problems, it is shown that for systems whose plants have poles in the closed left-half plane, plant-order dynamic anti-windup can achieve semiglobal exponential stability and finite L"2 gain for exogenous inputs with L"2 norm bounded by any finite value. The problems are studied in a general setting where the only requirement on the linear control system is well-posedness and internal stability. The effectiveness of the proposed techniques is illustrated with an example.