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Stability analysis of 2-sliding mode algorithms via convex optimisation
- Source :
- IFAC-PapersOnLine. 52:178-183
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
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.
- 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
Subjects
Details
- ISSN :
- 24058963
- Volume :
- 52
- Database :
- OpenAIRE
- Journal :
- IFAC-PapersOnLine
- Accession number :
- edsair.doi...........828f14e5d7a596db0e80a5c96101f9d4