The stability analysis of systems with nonlinear feedback expressed by a quadratic program
Allbwn ymchwil: Cyfraniad at gynhadledd › Papur › adolygiad gan gymheiriaid
Fersiynau electronig
Dangosydd eitem ddigidol (DOI)
We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP). We establish quadratic constraints from the Karush-Kuhn-Tucker (KKT) conditions that may be used to construct a piecewise quadratic Lyapunov function via the S-procedure. The approach is based on existing results in the literature, but gives a more parsimonious linear matrix inequality (LMI) criterion. Our approach can be extended to model predictive control (MPC), and gives equivalent results to those in the literature but with a much lower dimension LMI criterion
| Iaith wreiddiol | Anadnabyddus |
|---|---|
| Tudalennau | 4247-4252 |
| Nifer y tudalennau | 6 |
| Dynodwyr Gwrthrych Digidol (DOIs) | |
| Statws | Cyhoeddwyd - 7 Mai 2007 |
| Cyhoeddwyd yn allanol | Ie |
| Digwyddiad | Proceedings of the 45th IEEE Conference on Decision and Control - San Diego, Yr Unol Daleithiau Hyd: 13 Rhag 2006 → 15 Rhag 2006 |
Cynhadledd
| Cynhadledd | Proceedings of the 45th IEEE Conference on Decision and Control |
|---|---|
| Gwlad/Tiriogaeth | Yr Unol Daleithiau |
| Dinas | San Diego |
| Cyfnod | 13/12/06 → 15/12/06 |