Maximum Convergence Rate Control of a Switched Electrical Network with Symmetries

Author:

Fiori Simone1ORCID,Ciaramicoli Luca2,Berluti Giovanni2

Affiliation:

1. Department of Information Engineering, Marches Polytechnic University, I-60131 Ancona, Italy

2. School of Electronics Engineering, Marches Polytechnic University, I-60131 Ancona, Italy

Abstract

The purpose of the present research endeavor is to propose a novel control strategy for a DC-DC electrical converter realized as a switched circuit. The present endeavor is based on an early work by Leonard and Krishnaprasad where a prototypical DC-DC converter was modeled as a state space dynamical system and controlled by an open-loop strategy based on Lie group theory. In this work, we shall rather introduce a closed-loop control strategy based on maximum convergence rate, study some features of the novel method, and illustrate its behavior by numerical simulations. A numerical comparison of the two methods complements the paper. The numerical comparison shows how the proposed feedback control method outperforms the static one in terms of convergence rate and resiliency against parameters mismatch.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference27 articles.

1. Li, Z., Soh, Y., and Wen, C. (2005). Switched and Impulsive Systems: Analysis, Design and Applications, Springer.

2. Sun, Z., and Ge, S.S. (2005). Switched Linear Systems: Control and Design, Springer.

3. Liberzon, D. (2006). Switching in Systems and Control, Birkhäuser.

4. Mahmoud, M.S. (2010). Switched Time-Delay Systems: Stability and Control, Springer.

5. Leonard, N., and Krishnaprasad, P. (1994, January 14–16). Control of switched electrical networks using averaging on Lie groups. Proceedings of the 1994 33rd IEEE Conference on Decision and Control, Orlando, FL, USA.

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