The mathematical tools employed in the whole book are introduced in this chapter: classical control tools for linear systems and Lyapunov stability analysis for nonlinear systems. A review of the passivity formalism is included and control of a permanent magnet brushed DC-motor is used as a simple example to describe the main steps of our novel passivity-based approach.
CITATION STYLE
Hernández-Guzmán, V. M., Silva-Ortigoza, R., & Orrante-Sakanassi, J. A. (2021). Mathematical Preliminaries. In Advances in Industrial Control (pp. 7–47). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-58786-4_2
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