Details
| Original language | English |
|---|---|
| Article number | 7017484 |
| Pages (from-to) | 1825-1840 |
| Number of pages | 16 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 60 |
| Issue number | 7 |
| Publication status | Published - 1 Jul 2015 |
| Externally published | Yes |
Abstract
In this paper, we introduce and study the notion of norm-controllability for nonlinear systems. This property captures the responsiveness of a system with respect to applied inputs, which is quantified via the norm of an output. As a main contribution, we obtain several Lyapunov-like sufficient conditions for norm-controllability, some of which are based on higher-order derivatives of a Lyapunov-like function. Various aspects of the proposed concept and the sufficient conditions are illustrated by several examples, including a chemical reactor application. Furthermore, for the special case of linear systems, we establish connections between norm-controllability and standard controllability.
Keywords
- Controllability, Input-to-state stability (ISS), Lyapunov methods, Nonlinear systems
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Engineering(all)
- Electrical and Electronic Engineering
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In: IEEE Transactions on Automatic Control, Vol. 60, No. 7, 7017484, 01.07.2015, p. 1825-1840.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Norm-Controllability of Nonlinear Systems
AU - Muller, Matthias A.
AU - Liberzon, Daniel
AU - Allgower, Frank
N1 - Publisher Copyright: © 2015 IEEE.
PY - 2015/7/1
Y1 - 2015/7/1
N2 - In this paper, we introduce and study the notion of norm-controllability for nonlinear systems. This property captures the responsiveness of a system with respect to applied inputs, which is quantified via the norm of an output. As a main contribution, we obtain several Lyapunov-like sufficient conditions for norm-controllability, some of which are based on higher-order derivatives of a Lyapunov-like function. Various aspects of the proposed concept and the sufficient conditions are illustrated by several examples, including a chemical reactor application. Furthermore, for the special case of linear systems, we establish connections between norm-controllability and standard controllability.
AB - In this paper, we introduce and study the notion of norm-controllability for nonlinear systems. This property captures the responsiveness of a system with respect to applied inputs, which is quantified via the norm of an output. As a main contribution, we obtain several Lyapunov-like sufficient conditions for norm-controllability, some of which are based on higher-order derivatives of a Lyapunov-like function. Various aspects of the proposed concept and the sufficient conditions are illustrated by several examples, including a chemical reactor application. Furthermore, for the special case of linear systems, we establish connections between norm-controllability and standard controllability.
KW - Controllability
KW - Input-to-state stability (ISS)
KW - Lyapunov methods
KW - Nonlinear systems
UR - http://www.scopus.com/inward/record.url?scp=84934292516&partnerID=8YFLogxK
U2 - 10.1109/TAC.2015.2394953
DO - 10.1109/TAC.2015.2394953
M3 - Article
AN - SCOPUS:84934292516
VL - 60
SP - 1825
EP - 1840
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 7
M1 - 7017484
ER -