Solving linear and quadratic programs with an analog circuit

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2014 English Publisher:Elsevier BVJournal:Computers & Chemical Engineering, volume 70, pages 160-171 (issn: 0098-1354,

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Authors: Sergey Vichik; Francesco Borrelli;

doi: 10.1016/j.compchemeng.2014.01.011

Solving linear and quadratic programs with an analog circuit

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Abstract

Abstract We present the design of an analog circuit which solves linear programming (LP) or quadratic programming (QP) problem. In particular, the steady-state circuit voltages are the components of the LP (QP) optimal solution. The paper shows how to construct the circuit and provides a proof of equivalence between the circuit and the LP (QP) problem. The proposed method is used to implement an LP-based Model Predictive Controller by using an analog circuit. Simulative and experimental results show the effectiveness of the proposed approach.

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University of California, Berkeley
United States

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