Robust hybrid predictive control of nonlinear systems

  • Authors:

  • Prashant Mhaskar;Nael H. El-Farra;Panagiotis D. Christofides

  • Affiliations:

  • Department of Chemical Engineering, The Henry Samueli School of Engineering & Applied Science, University of California, 405 Hilgard Avenue, Box 951592, Los Angeles, CA 90095-1592, USA;Department of Chemical Engineering, The Henry Samueli School of Engineering & Applied Science, University of California, 405 Hilgard Avenue, Box 951592, Los Angeles, CA 90095-1592, USA;Department of Chemical Engineering, The Henry Samueli School of Engineering & Applied Science, University of California, 405 Hilgard Avenue, Box 951592, Los Angeles, CA 90095-1592, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2005

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Abstract

In this work, we consider nonlinear systems with input constraints and uncertain variables, and develop a robust hybrid predictive control structure that provides a safety net for the implementation of any model predictive control (MPC) formulation, designed with or without taking uncertainty into account. The key idea is to use a Lyapunov-based bounded robust controller, for which an explicit characterization of the region of robust closed-loop stability can be obtained, to provide a stability region within which any available MPC formulation can be implemented. This is achieved by devising a set of switching laws that orchestrate switching between MPC and the bounded robust controller in a way that exploits the performance of MPC whenever possible, while using the bounded controller as a fall-back controller that can be switched in at any time to maintain robust closed-loop stability in the event that the predictive controller fails to yield a control move (due, e.g., to computational difficulties in the optimization or infeasibility) or leads to instability (due, e.g., to inappropriate penalties and/or horizon length in the objective function). The implementation and efficacy of the robust hybrid predictive control structure are demonstrated through simulations using a chemical process example.