Abstract
Presented in this paper is a method for stabilization and induced L 2-gain (or H∞ norm) control of Linear Parameter-Varying (LPV) systems with fast-varying time delays. The Lyapunov-Krasovskii functional is used to derive the delay-dependent stability analysis and control synthesis conditions. In order to formulate the synthesis conditions as Linear Matrix Inequalities (LMIs), a relaxation method using slack variables is proposed. The introduction of slack variables along with the delay-dependent bounded real lemma conditions results in reduced conservatism with the proposed method. Sufficiency conditions that guarantee the existence of a parameter-dependent state feedback control law are then provided. Finally, numerical examples are presented to validate the proposed results and compare with recent work in the literature to show the improvements achieved.
| Original language | English (US) |
|---|---|
| Title of host publication | 2012 American Control Conference, ACC 2012 |
| Pages | 775-780 |
| Number of pages | 6 |
| State | Published - Nov 26 2012 |
| Event | 2012 American Control Conference, ACC 2012 - Montreal, QC, Canada Duration: Jun 27 2012 → Jun 29 2012 |
Other
| Other | 2012 American Control Conference, ACC 2012 |
|---|---|
| Country/Territory | Canada |
| City | Montreal, QC |
| Period | 6/27/12 → 6/29/12 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering