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Here, we consider bound-constrained QP problems that arise when applying the Model Predictive Control (MPC). We limit our attention to the oscillating masses regulator control problem from Wang and Boyd [261]. We formulate the problems, describe their specific features, and discuss the effect of parameters on the conditioning of constraints. Then, we compare the impact of using the Newton and conjugate gradient directions in MPRGP and PRGPN. Numerical experiments illustrate the discussion.

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Model Predictive Control

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  • 发表日期：

    2025年

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  • Zdeněk Dostál

摘要

Here, we consider bound-constrained QP problems that arise when applying the Model Predictive Control (MPC). We limit our attention to the oscillating masses regulator control problem from Wang and Boyd [261]. We formulate the problems, describe their specific features, and discuss the effect of parameters on the conditioning of constraints. Then, we compare the impact of using the Newton and conjugate gradient directions in MPRGP and PRGPN. Numerical experiments illustrate the discussion.