Abstract
It was shown in [1] that for control-affine nonlinear systems, global asymptotic stabilizability via continuous state feedback implies global input-to-state stabilizability with respect to actuator disturbances. We show that the analogous result for sensor disturbances does not hold: we construct a second-order system which admits a continuous memoryless globally asymptotically stabilizing state feedback controller but for which no such controller can prevent finite escape times from every initial condition in the presence of small sensor disturbances.
Original language | English (US) |
---|---|
Pages (from-to) | 2119-2122 |
Number of pages | 4 |
Journal | IEEE Transactions on Automatic Control |
Volume | 40 |
Issue number | 12 |
DOIs | |
State | Published - Dec 1995 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering