Details
| Original language | English |
|---|---|
| Article number | 6426430 |
| Pages (from-to) | 314-319 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Publication status | Published - 2012 |
| Externally published | Yes |
| Event | 51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012 |
Abstract
In this paper, we further study the recently introduced notion of norm-controllability, which captures the responsiveness of a nonlinear system with respect to applied inputs in terms of the norm of an output map. We give sufficient conditions for this property based on higher-order lower directional derivatives, which generalize the results obtained in our earlier work and help to establish norm-controllability for systems with outputs having relative degree greater than one. Furthermore, we illustrate the obtained results by means of a chemical reaction example.
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Mathematics(all)
- Modelling and Simulation
- Mathematics(all)
- Control and Optimization
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In: Proceedings of the IEEE Conference on Decision and Control, 2012, p. 314-319.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - Relaxed conditions for norm-controllability of nonlinear systems
AU - Muller, Matthias A.
AU - Liberzon, Daniel
AU - Allgower, Frank
PY - 2012
Y1 - 2012
N2 - In this paper, we further study the recently introduced notion of norm-controllability, which captures the responsiveness of a nonlinear system with respect to applied inputs in terms of the norm of an output map. We give sufficient conditions for this property based on higher-order lower directional derivatives, which generalize the results obtained in our earlier work and help to establish norm-controllability for systems with outputs having relative degree greater than one. Furthermore, we illustrate the obtained results by means of a chemical reaction example.
AB - In this paper, we further study the recently introduced notion of norm-controllability, which captures the responsiveness of a nonlinear system with respect to applied inputs in terms of the norm of an output map. We give sufficient conditions for this property based on higher-order lower directional derivatives, which generalize the results obtained in our earlier work and help to establish norm-controllability for systems with outputs having relative degree greater than one. Furthermore, we illustrate the obtained results by means of a chemical reaction example.
UR - http://www.scopus.com/inward/record.url?scp=84874280771&partnerID=8YFLogxK
U2 - 10.1109/CDC.2012.6426430
DO - 10.1109/CDC.2012.6426430
M3 - Conference article
AN - SCOPUS:84874280771
SP - 314
EP - 319
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
SN - 0743-1546
M1 - 6426430
T2 - 51st IEEE Conference on Decision and Control, CDC 2012
Y2 - 10 December 2012 through 13 December 2012
ER -