Passivity-based controllers for the stabilization of DC-to-DC power converters
Automatica (Journal of IFAC)
L2-Gain and Passivity Techniques in Nonlinear Control
L2-Gain and Passivity Techniques in Nonlinear Control
Hybrid modelling and control of power electronics
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
A Hamiltonian viewpoint in the modeling of switching power converters
Automatica (Journal of IFAC)
Approximately Bisimilar Symbolic Models for Incrementally Stable Switched Systems
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Switching Surface Design for Periodically Operated Discretely Controlled Continuous Systems
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
| Hi-index | 0.00 |
This paper considers the control of switching power converters which are a particular class of hybrid systems. Such systems, which are controlled by switches, can be modeled using physical principles. Taking advantage of the energetical properties of their models, a Lyapunov function is proposed. This function, which has not to be computed but is systematically deduced from the physical model, allows to derive different stabilizing switching sequences. From a theoretical point of view, asymptotic stability can be obtained, but it requires null intervals between switching times. In order to ensure a minimum time between switchings, this Lyapunov function has to be increasing for a small duration by using a delay or a dead zone. A control law principle that guarantees the invariance of a specified domain with respect to state trajectories is proposed. Two examples are provided at the end of this paper that demonstrate the efficiency of the proposed approach.