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A comparison of the computational efficiency of multi-parametric predictive control using generalised function parameterisations

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IFAC Proceedings Volumes 2012年第15期45卷 451-456页

作者： B. Khan J.A. Rossiter Automatic Control and Systems Eng. University of Sheffield UK

This paper considers the computational efficiency of using generalised function parameterisations for multi-parametric quadratic programming (mp-QP) solutions to MPC. Earlier work demonstrated the potential of Laguerre parameterisations for improving computational efficiency in that the parametric solutions either required fewer regions and/or gave larger volumes. This paper considers the potential of extending this concept to more general function parameterisations. Specifically the aim is to consider to what extent different function parameterisations affect the parametric solution complexity and feasible volumes. Extensive simulation results which suggest there are indeed benefits from using more general parameterisations than Laguerre.

关键词： Predictive control Multi-parametric quadratic programming Feasibility generalised function parametrisations

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A comparison of the computational efficiency of generalised function MPC using active set methods

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IFAC Proceedings Volumes 2012年第15期45卷 192-197页

作者： B. Khan J.A. Rossiter Automatic Control and Systems Eng. University of Sheffield UK

This paper considers the computational efficiency of the recently developed generalised function parameterisations predictive control algorithms using active set methods. Alternative parameterisations have been shown to improve the volume of the feasible region when the number of degrees of freedom is limited. However, earlier work also demonstrates that some of the structure of optimisation problem is lost when using these parameterisations and thus requires more computation operations per step. This paper considers the dense problem structure arising from removing any redundant constraints and then considers the computational efficiency using the minimal constraint sets. Extensive simulation results suggest there can still be benefits from using more general parameterisations, although less significant then indicated by the number of degrees of freedom alone.

关键词： Predictive control Active set method Computational efficiency Feasibility generalised function parametrisations

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