Abstract
In this paper we consider the model matching problem where linear switched systems are involved. We focus on the worst-case l∞ induced norm and consider the problem when the involved systems have independent or matched switching sequences. We show that a switched compensation which can switch independently of the plant has no advantage over an LTI compensation. Moreover, if the plant is strictly causal, even a switched compensation which has the same switching as the plant does not provide a better performance over an LTI compensation. We further generalize the results of [1] to MIMO systems and present an exact expression to compute the worst-case l∞ induced norm. Using that, one can cast a class of model matching problems as a Linear Programming.
| Original language | English (US) |
|---|---|
| Article number | 6425979 |
| Pages (from-to) | 2643-2647 |
| Number of pages | 5 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| DOIs | |
| State | Published - 2012 |
| Externally published | Yes |
| Event | 51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: Dec 10 2012 → Dec 13 2012 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization