Title
Tracking control for hybrid systems via embedding of known reference trajectories
Abstract
We study the problem of designing controllers to track time-varying state trajectories for plants modeled as hybrid dynamical systems, which are systems with both continuous and discrete dynamics. The reference trajectories are given by functions that may exhibit jumps. The class of controllers considered are also modeled as hybrid systems. These are designed to guarantee stability of tracking and that the difference between the plant's state and the reference trajectory converges to zero. Using recently developed tools for the study of asymptotic stability in hybrid systems, we recast the tracking problem as the problem of stabilizing a closed set and derive conditions for the design of tracking controllers for hybrid reference trajectories with the property that the jump times of the plant coincide with those of the given reference trajectories. The approach is illustrated in examples.
Year
DOI
Venue
2011
10.1109/ACC.2011.5991500
American Control Conference
Keywords
DocType
ISSN
asymptotic stability,time-varying systems,continuous dynamics,discrete dynamics,hybrid dynamical systems,known reference trajectory embedding,time-varying state trajectories,tracking control stability,trajectory,stability analysis,hybrid system
Conference
0743-1619
ISBN
Citations 
PageRank 
978-1-4577-0080-4
1
0.37
References 
Authors
11
4
Name
Order
Citations
PageRank
Ricardo G. Sanfelice121627.88
Biemond, J.J.B.210.37
van de Wouw, N.310.37
W. P. M. H. Heemels42436194.41