Abstract
A simple efficient method for addressing finite-horizon control problems is suggested for a class of linear time-varying systems by solving 'standard' (algebraic) linear matrix inequalities (LMIs). Considering the Lyapunov function x T P(t)x, a class of time-varying solutions for P(t) is derived without using differential inequalities. The core idea is to seek a P(t) which is linear in time, and to exploit convexity in normalized time over the scenario duration (or over each time sub-interval, in the piecewise version) in order to reduce the differential LMIs, which result from the bounded real lemma, to algebraic LMIs at the scenario (or sub-intervals) end-points. The resulting state-feedback gain is explicitly time-scheduled. The method can simultaneously cover polytopic parametric uncertainties, and can be applied together with the 'best-mean' approach.
| Original language | Undefined/Unknown |
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| Title of host publication | Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 2765-2770 |
| Number of pages | 6 |
| ISBN (Print) | 978-1-4244-3871-6 |
| DOIs | |
| State | Published - Dec 2009 |
| Event | Proceedings of the 48h IEEE Conference on Decision and Control - Shanghai, China, China Duration: 15 Dec 2009 → 18 Dec 2009 https://ieeexplore.ieee.org/xpl/conhome/5379695/proceeding |
Publication series
| Name | Proceedings of the IEEE Conference on Decision and Control |
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| ISSN (Print) | 0743-1546 |
| ISSN (Electronic) | 2576-2370 |
Conference
| Conference | Proceedings of the 48h IEEE Conference on Decision and Control |
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| Country/Territory | China |
| City | Shanghai, China |
| Period | 15/12/09 → 18/12/09 |
| Internet address |