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- Reza Takapoui, Nicholas Moehle, Stephen Boyd, Alberto Bemporad
- 2015

In this paper we propose a fast optimization algorithm for approximately minimizing convex quadratic functions over the intersection of affine and separable constraints (i.e., the Cartesian product of possibly nonconvex real sets). This problem class contains many NP-hard problems such as mixed-integer quadratic programming. Our heuristic is based on a… (More)

We consider the switched-affine optimal control problem, i.e., the problem of selecting a sequence of affine dynamics from a finite set in order to minimize a sum of convex functions of the system state. We develop a new reduction of this problem to a mixed-integer convex program (MICP), based on perspective functions. Relaxing the integer constraints of… (More)

In this paper we give energy-optimal excitation current waveforms for a permanent magnet synchronous motor that result in a desired average torque. Our formulation generalizes previous work by including a general back-EMF waveform, voltage and current limits, an arbitrary phase winding connection, a simple eddy current loss model, and a trade-off between… (More)

In this paper, we address the problem of finding current waveforms for a switched reluctance motor that minimize a user-defined combination of torque ripple and RMS current. The motor model we use is fairly general, and includes magnetic saturation, voltage and current limits, and highly coupled magnetics (and therefore, unconventional geometries and… (More)

We consider the problem of controlling switched-mode power converters using model predictive control. Model predictive control requires solving optimization problems in real time, limiting its application to systems with small numbers of switches and a short horizon. We propose a technique for using off-line computation to approximate the model predictive… (More)

- Nicholas Moehle, Stephen Boyd, A, A K
- 2015

We consider the switched-affine optimal control problem, i.e., the problem of selecting a sequence of affine dynamics from a finite set in order to minimize a sum of convex functions of the system state. We develop a new reduction of this problem to a mixed-integer convex program (MICP), based on perspective functions. Relaxing the integer constraints of… (More)

- S Boyd, Stephen Boyd, Joelle Skaf, Nicholas Moehle
- 2014

These notes were taken from the book Linear Controller Design: Limits of Performance, by Boyd and Barratt [BB91], and edited (at various times over many years)

— This paper considers estimation of covariance matrices in multivariate linear regression models for two-level data produced by a population of similar units (individuals). The proposed Bayesian formulation assumes that the covariances for different units are sampled from a common distribution. Assuming that this common distribution is Wishart, the optimal… (More)

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