Name
Title | ||
|---|---|---|
A Unified Lyapunov Function For Finite Time Stabilization Of Continuous And Variable Structure Systems With Resets |
Abstract | ||
|---|---|---|
A unilaterally constrained perturbed double integrator system is studied in this paper. The aim is to establish uniform finite time stability of the non-linear dynamics in the presence of impacts due to the constraints on the position variable. A non-smooth transformation is utilized to first transform the system into a variable structure system that can be studied within the framework of a conventional discontinuous paradigm. Then, a finite time stable continuous controller is used and stability of the closed-loop dynamics is proven by identifying a new set of Lyapunov functions. The results enable continuous and discontinuous cases to be unified using one parameter that defines the set of Lyapunov functions for each case. |
Year | Venue | Field |
|---|---|---|
2016 | 2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC) | Lyapunov function,Mathematical optimization,Lyapunov equation,Double integrator,Control theory,Control-Lyapunov function,Computer science,Exponential stability,Lyapunov redesign,Variable structure system,Lyapunov exponent |
DocType | ISSN | Citations |
Conference | 0743-1546 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Harshal B. Oza | 1 | 19 | 5.83 |
| Yury Orlov | 2 | 520 | 52.75 |
| sarah k spurgeon | 3 | 724 | 71.21 |