1. Stability analysis of 2-sliding mode algorithms via convex optimisation
- Author
-
Adolfo Soto-Cota, Miguel Bernal, Alán Tapia, and David Vazquez
- Subjects
Lyapunov function ,0209 industrial biotechnology ,Computer science ,020208 electrical & electronic engineering ,MathematicsofComputing_NUMERICALANALYSIS ,Mode (statistics) ,Regular polygon ,Stability (learning theory) ,02 engineering and technology ,Linear matrix ,Set (abstract data type) ,symbols.namesake ,Stability conditions ,020901 industrial engineering & automation ,Control and Systems Engineering ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,Algorithm - 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.
- Published
- 2019