Abstract
In this paper, we study an l∞ type of performance for linear switched systems when the switching sequence is a Markov process. We define the notion of the stochastic l∞ gain and derive an exact expression for computing it. The stochastic l∞ gain mimics the l∞ induced norm of the deterministic operators. We further synthesize an optimal controller for minimizing the stochastic l∞ gain and argue that this problem can be cast as a tractable linear program.
| Original language | English (US) |
|---|---|
| Title of host publication | 54rd IEEE Conference on Decision and Control,CDC 2015 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 2686-2690 |
| Number of pages | 5 |
| ISBN (Electronic) | 9781479978861 |
| DOIs | |
| State | Published - Feb 8 2015 |
| Event | 54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: Dec 15 2015 → Dec 18 2015 |
Publication series
| Name | Proceedings of the IEEE Conference on Decision and Control |
|---|---|
| Volume | 54rd IEEE Conference on Decision and Control,CDC 2015 |
| ISSN (Print) | 0743-1546 |
Other
| Other | 54th IEEE Conference on Decision and Control, CDC 2015 |
|---|---|
| Country | Japan |
| City | Osaka |
| Period | 12/15/15 → 12/18/15 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization
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Cite this
Naghnaeian, M., & Voulgaris, P. G. (2015). Stochastic l∞ performance optimization for Markovian linear switched systems. In 54rd IEEE Conference on Decision and Control,CDC 2015 (pp. 2686-2690). [7402621] (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7402621