Vázquez, David Ismael (Sonora Institute of Technology), Tapia, Alan (National Autonomous University of Mexico (UNAM)), Soto-Cota, Adolfo (Ph.d. Student), Bernal, Miguel (Sonora Institute of Technology)

Stability Analysis of 2-Sliding Mode Algorithms Via Convex Optimisation

Scheduled for presentation during the Regular Session "Poster session" (ThPSTPos), Thursday, August 22, 2019, 14:30−15:30,

5th IFAC International Conference on Intelligent Control and Automation Sciences, August 21-23, 2019, Queen’s University Belfast, Northern Ireland

This information is tentative and subject to change. Compiled on April 25, 2024

Abstract

This paper pursues the construction of a valid strong Lyapunov function for second-order sliding mode algorithms, usually employed for control, observation, and differentiation purposes. The developed solution is based on combining convex representations of such algorithms with the direct Lyapunov method, which leads to stability conditions expressed in the form of linear matrix inequalities. The proposed methodology enlarges the set of gains for which the algorithms are guaranteed stable in prior literature.