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.
| Original language | English (US) |
|---|---|
| Article number | 7017484 |
| Pages (from-to) | 1825-1840 |
| Number of pages | 16 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 60 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 1 2015 |
Keywords
- Controllability
- Input-to-state stability (ISS)
- Lyapunov methods
- Nonlinear systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering