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This brief is concerned with the problem of mitigating the “curse of dimensionality” in the piecewise-affine simplicial approximation of multivariate model predictive control (MPC) functions by resorting to nonuniform domain partitions, in view of their implementation in high-speed embedded digital architectures. Two dual strategies are used to reduce the number of simplices with respect to uniform...
This paper proposes an algorithm for the automatic selection of a non-uniform simplicial partition of the domain of a piecewise-affine function used as an approximate Model Predictive Control law. The main goal is to obtain good approximations reducing the so-called “curse of dimensionality”, which affects the uniform partition case. The partition is chosen according to geometric considerations and...
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