Name
Title | ||
|---|---|---|
A Novel Rpi Set Computation Method For Discrete-Time Lpv Systems With Bounded Uncertainties |
Abstract | ||
|---|---|---|
Set invariance plays a fundamental role in the analysis and design of linear systems. This paper proposes a novel method for constructing robust positively invariant (RPI) sets for discrete-time linear parameter varying (LPV) systems. Starting from the stability assumption in the absence of disturbances, we aim to construct the RPI sets for parametric uncertain system. The existence condition of a common quadratic Lyapunov function for all vertices of the polytopic system is relaxed in the present study. Thus the proposed method enlarges the application field of RPI sets to LPV systems. A family of approximations of minimal robust positively invariant (mRPI) sets are obtained by using a shrinking procedure. Finally, the effect of scheduling variables on the size of the mRPI set is analyzed to obtain more accurate set characterization of the uncertain LPV system. A numerical example is used to illustrate the effectiveness of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/ICCA.2019.8899945 | 2019 IEEE 15TH INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA) |
Field | DocType | ISSN |
Linear system,Invariant (physics),Scheduling (computing),Control theory,Parametric statistics,Invariant (mathematics),Engineering,Discrete time and continuous time,Bounded function,Computation | Conference | 1948-3449 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Junbo Tan | 1 | 2 | 3.41 |
| Sorin Olaru | 2 | 267 | 47.10 |
| Ampountolas, K. | 3 | 3 | 3.55 |
| John Jairo Martínez Molina | 4 | 0 | 0.34 |
| Feng Xu | 5 | 0 | 0.68 |