Abstract
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
Translated title of the contribution | The stability analysis of systems with nonlinear feedback expressed by a quadratic program |
---|---|
Original language | English |
Title of host publication | the 45th IEEE Conference on Decision and Control, San Diego, California USA |
Publisher | Institute of Electrical and Electronics Engineers (IEEE) |
Pages | 4247 - 4252 |
Number of pages | 6 |
ISBN (Print) | 1424401712 |
DOIs | |
Publication status | Published - Dec 2006 |
Event | 45 IEEE Conference on Decision and Control - San Diego, CA, United States Duration: 1 Dec 2006 → … |
Conference
Conference | 45 IEEE Conference on Decision and Control |
---|---|
Country/Territory | United States |
City | San Diego, CA |
Period | 1/12/06 → … |
Bibliographical note
Conference Organiser: IEEERose publication type: Conference contribution
Terms of use: ©2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords
- absolute stability
- Lur'e systems
- LMI
- quadratic program