The stability analysis of systems with nonlinear feedback expressed by a quadratic program
Research output: Contribution to conference › Paper › peer-review
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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
| Original language | Unknown |
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| Pages | 4247-4252 |
| Number of pages | 6 |
| DOIs | |
| Publication status | Published - 7 May 2007 |
| Externally published | Yes |
| Event | Proceedings of the 45th IEEE Conference on Decision and Control - San Diego, United States Duration: 13 Dec 2006 → 15 Dec 2006 |
Conference
| Conference | Proceedings of the 45th IEEE Conference on Decision and Control |
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| Country/Territory | United States |
| City | San Diego |
| Period | 13/12/06 → 15/12/06 |