Weighting goals and constraints in fuzzy predictive control

Article type: Research Article

Authors: Mendonça, L.F.^; | Sousa, J.M.C. | Kaymak, U. | Sá da Costa, J.M.G.

Affiliations: Technical University of Lisbon, Instituto Superior Técnico, Department of Mechanical Engineering, GCAR/IDMEC, Av. Rovisco Pais, 1049-001 Lisbon, Portugal | Escola Náutica Infante D. Henrique, Department of Marine Engineering, Av. Eng. Bonneville Franco, Lisbon, Portugal | Erasmus University of Rotterdam, Faculty of Economics, P.O. Box 1738, 3000 DR Rotterdam, Rotterdam, the Netherlands

Note: [] Corresponding author. E-mail: [email protected]

Abstract: Model predictive control (MPC) is a well-known control technique, which has been applied to complex and nonlinear processes. Fuzzy predictive control incorporates fuzzy goals and constraints in MPC, by combining predictive control with fuzzy decision making. In this paper, we propose the integration of weighted criteria in fuzzy predictive control, where the decision-maker can specify the preference for different goals and constraints by using weight factors for each criterion. A new heuristic is proposed to select suitable weight factors that satisfy the overall control objective. In this context, a method to extend the t-norms to the weighted case is also discussed. The weighted approach is validated using a multivariable process: the simulation of a gantry crane system, which shows clear improvements in the control performance when using the weighted fuzzy predictive control approach.

Keywords: Fuzzy predictive control, weighted criteria, multivariable control, fuzzy decision making, container gantry crane

Journal: Journal of Intelligent & Fuzzy Systems, vol. 17, no. 5, pp. 517-532, 2006