Polcz, Péter and Péni, Tamás and Szederkényi, Gábor (2019) Computational method for estimating the domain of attraction of discrete-time uncertain rational systems. European Journal of Control, 49. pp. 68-83. ISSN 0947-3580
This is the latest version of this item.
|
Text
Polcz_etal-Computational method for estimating the domain of attraction of discrete-time uncertain rational systems-EJC19final.pdf Download (4MB) | Preview |
Abstract
Using linear matrix inequality (LMI) conditions, we propose a computational method to generate Lya- punov functions and to estimate the domain of attraction (DOA) of uncertain nonlinear (rational) discrete- time systems. The presented method is a discrete-time extension of the approach first presented in [39], where the authors used Finsler’s lemma and affine annihilators to give sufficient LMI conditions for sta- bility. The system representation required for DOA computation is generated systematically by using the linear fractional transformation (LFT). Then a model simplification step not affecting the computed Lya- punov function (LF) is executed on the obtained linear fractional representation (LFR). The LF is computed in a general quadratic form of a state and parameter dependent vector of rational functions, which are generated from the obtained LFR model. The proposed method is compared to the numeric n-dimensional order reduction technique proposed in [11]. Finally, additional tuning knobs are proposed to obtain more degrees of freedom in the LMI conditions. The method is illustrated on two benchmark examples.
| Item Type: | Article |
|---|---|
| Subjects: | T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában |
| Depositing User: | Péni Tamás |
| Date Deposited: | 22 Sep 2019 16:24 |
| Last Modified: | 22 Sep 2019 16:26 |
| URI: | http://real.mtak.hu/id/eprint/99999 |
Available Versions of this Item
- Computational method for estimating the domain of attraction of discrete-time uncertain rational systems. (deposited 22 Sep 2019 16:24) [Currently Displayed]
Actions (login required)
 |
Edit Item |
