Name
Title | ||
|---|---|---|
Measure Theory Approach In Sliding Mode Control For Nonlinear Systems With Disturbances |
Abstract | ||
|---|---|---|
A new sliding mode control (SMC) design approach using measure theory and Lyapunov functional candidate is presented for nonlinear control problems with disturbances. Lyapunov function is supposed for designing a sliding surface (SS). In fact, the problem that is considered is as follows. A state trajectory from a given initial point reaches a given point on a sliding surface in a short time, and then tends to the origin (equilibrium point) along the sliding surface. Measure theory approach with embedding process is used to solve such a problem in two phases. In the first phase, after designing an appropriate SS by a suggested Lyapunov function, an embedding is constructed to solve a time optimal control problem such that the system trajectory reaches the SS in minimum time, then in the second phase, using SS, a control is designed such that the system trajectory tends to the origin along the SS. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1504/IJMIC.2015.071888 | INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL |
Keywords | Field | DocType |
Lyapunov function, measure theory, sliding mode control, SMC, sliding surface design, time optimal control | Lyapunov function,Optimal control,Nonlinear control,Control-Lyapunov function,Control theory,Equilibrium point,Control engineering,Lyapunov redesign,Variable structure control,Mathematics,Sliding mode control | Journal |
Volume | Issue | ISSN |
24 | 2 | 1746-6172 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohammad R. Zarrabi | 1 | 4 | 1.18 |
| M.H. Farahi | 2 | 32 | 5.36 |
| Effati Sohrab | 3 | 276 | 30.31 |
| Ali J. Koshkouei | 4 | 18 | 2.54 |