Name
Title | ||
|---|---|---|
Passivity-Based Integral Sliding Mode Control and <inline-formula> <tex-math notation="LaTeX">$\varepsilon$ </tex-math></inline-formula> - Bound Estimation for Uncertain Singularly Perturbed Systems With Disturbances |
Abstract | ||
|---|---|---|
This brief addresses the problems of passivity-based integral sliding mode control (ISMC) and
<inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\varepsilon $ </tex-math></inline-formula>
-bound estimation for uncertain singularly perturbed systems (SPSs) with disturbances. First, a singular perturbation parameter
<inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\varepsilon $ </tex-math></inline-formula>
-dependent integral sliding surface is constructed with the reachability condition satisfied. Then, by passivity theory, a set of
<inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\varepsilon $ </tex-math></inline-formula>
-independent linear matrix inequalities are derived to design the ISMC gain, such that the closed-loop SPSs are passive and internally exponentially stable. Furthermore, an
<inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\varepsilon $ </tex-math></inline-formula>
-bound estimation method is proposed, such that the passivity and internally exponential stability are preserved for any
<inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\varepsilon $ </tex-math></inline-formula>
less than or equal to the
<inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\varepsilon $ </tex-math></inline-formula>
-bound. Compared with the existing methods, the proposed approaches are less conservative because they are derived by a more general storage function and are free of equality constraints. Finally, the advantages and effectiveness of the proposed methods are demonstrated by simulation results. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/TCSII.2018.2849744 | IEEE Transactions on Circuits and Systems II: Express Briefs |
Keywords | Field | DocType |
Estimation,Uncertainty,Sliding mode control,Perturbation methods,Integral equations,Integrated circuit modeling | Passivity,Integral sliding mode,Applied mathematics,Matrix (mathematics),Control theory,Integral equation,Reachability,Singular perturbation,Exponential stability,Mathematics,Sliding mode control | Journal |
Volume | Issue | ISSN |
66 | 3 | 1549-7747 |
Citations | PageRank | References |
5 | 0.41 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chun-Yu Yang | 1 | 76 | 10.57 |
| Zhiyuan Che | 2 | 8 | 1.47 |
| Jun Fu | 3 | 451 | 31.90 |
| Linna Zhou | 4 | 9 | 1.48 |