Title
On the robustness to measurement noise and unmodeled dynamics of stability in hybrid systems
Abstract
Results on robustness to measurement noise and unmodeled dynamics of stability in hybrid systems are presented. We show that arbitrarily small measurement noise can lead to lack of existence of solutions in hybrid systems. One solution to this problem is to pass the measurements through a filter. Robustness to measurement noise using this filtering is shown explicitly. We also study the effect of unmodeled sensor/actuator dynamics in the closed loop and we demonstrate that stability is robust to a class of singular perturbations. The results are illustrated for the inverted pendulum on a cart system when attempting to globally asymptotically stabilize the inverted position of the pendulum and the neutral cart position
Year
DOI
Venue
2006
10.1109/ACC.2006.1657354
Minneapolis, MN
Keywords
DocType
Volume
asymptotic stability,closed loop systems,noise measurement,nonlinear systems,perturbation techniques,robust control,cart system,hybrid systems,inverted pendulum,measurement noise,robustness,singular perturbation,stability unmodeled dynamics,actuators,hybrid system,control systems
Conference
1-12
ISSN
ISBN
Citations 
0743-1619
1-4244-0210-7
10
PageRank 
References 
Authors
1.20
12
4
Name
Order
Citations
PageRank
Ricardo G. Sanfelice121627.88
andrew r teel256671.55
Goebel, R.3488.56
Christophe Prieur41037129.96