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Fixed-point implementation of a proximal Newton method for embedded model predictive control (I)

Guiggiani, Alberto and Patrinos, Panagiotis and Bemporad, Alberto Fixed-point implementation of a proximal Newton method for embedded model predictive control (I). In: Proceedings of the 19th IFAC World Congress. IFAC, pp. 2921-2926. ISBN 978-3-902823-62-5 (2014)

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Abstract

Extending the success of model predictive control (MPC) technologies in embedded applications heavily depends on the capability of improving quadratic programming (QP) solvers. Improvements can be done in two directions: better algorithms that reduce the number of arithmetic operations required to compute a solution, and more efficient architectures in terms of speed, power consumption, memory occupancy and cost. This paper proposes a fixed point implementation of a proximal Newton method to solve optimization problems arising in input-constrained MPC. The main advantages of the algorithm are its fast asymptotic convergence rate and its relatively low computational cost per iteration since it the solution of a small linear system is required. A detailed analysis on the effects of quantization errors is presented, showing the robustness of the algorithm with respect to finite-precision computations. A hardware implementation with specific optimizations to minimize computation times and memory footprint is also described, demonstrating the viability of low-cost, low-power controllers for high-bandwidth MPC applications. The algorithm is shown to be very effective for embedded MPC applications through a number of simulation experiments.

Item Type: Book Section
Identification Number: https://doi.org/10.3182/20140824-6-ZA-1003.00992
Additional Information: 19th IFAC World Congress, August 24-29, 2014, Cape Town, South Africa
Uncontrolled Keywords: Identification and control methods; Cyber-Physical Systems
Subjects: T Technology > TL Motor vehicles. Aeronautics. Astronautics
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 22 Oct 2014 07:55
Last Modified: 07 Apr 2015 14:04
URI: http://eprints.imtlucca.it/id/eprint/2328

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