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We present a new method to solve the constrained finite-time optimal control (CFTOC) problem for piece-wise polynomial (PWP) hybrid systems, based on Cylindrical Algebraic Decomposition (CAD). The computational approach consists of two parts. The off-line, where the method re-formulates the original CFTOC optimization problem in algebraic form, decomposes it into smaller subproblems and then independently...
In this paper, we present an application in power electronics using an algebraic geometry approach for the optimal control of nonlinear polynomial systems. The proposed method consists of two parts, the off-line and the on-line. In the off-line part, certain generalized companion matrices are computed in relation with the optimal control problem. These are later used by the on-line part, where given...
This paper extends the recently introduced approach in optimal control methods for fixed frequency switch-mode dc-dc converters to the parallel interleaved synchronous step-down circuit topology with N branches. Due to the prohibitive complexity of modelling and controlling such potentially large systems a distributed model predictive control scheme is employed allowing for the related optimal control...
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