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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...
This paper proposes a method for FPGA implementation of explicit, piecewise affine (PWA) model predictive control (MPC) laws for non-inverting buck-boost DC-DC converters. A novel approach to obtain a PWA model of the power converter is proposed and two explicit MPC laws are derived, i.e., one based on the standard approach to synthesis of explicit MPC and one based on a simplicial PWA approximation...
In this paper we propose a digital architecture suited for fast, low-power and small-size electronic implementation of PieceWise Affine (PWA) functions defined over n-dimensional domains partitioned into multi-resolution hyperrectangles. The point location problem, which requires most of the computational effort, is solved through an orthogonal search tree, which is easily and efficiently implementable...
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