2013/01/28 by Brendan O'Donoghue, Brendan O’Donoghue, Giorgos Stathopoulos +1 · 9 citations
Engineering · Mathematics · #Advanced Control Systems Optimization #Advanced Optimization Algorithms Research #Stability and Control of Uncertain Systems
paper · doi:10.1109/tcst.2012.2231960
openalex publication_date 2013/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
We apply an operator splitting technique to a generic linear-convex optimal control problem, which results in an algorithm that alternates between solving a quadratic control problem, for which there are efficient methods, and solving a set of single-period optimization problems, which can be done in parallel, and often have analytical solutions. In many cases, the resulting algorithm is division-free (after some off-line pre-computations) and can be implemented in fixed-point arithmetic, for example on a field-programmable gate array (FPGA). We demonstrate the method on several examples from different application areas.