Metrization and Simulation of Controlled Hybrid Systems
Optimization and Control
2015-04-15 v3
Abstract
The study of controlled hybrid systems requires practical tools for approximation and comparison of system behaviors. Existing approaches to these problems impose undue restrictions on the system's continuous and discrete dynamics. Metrization and simulation of controlled hybrid systems is considered here in a unified framework by constructing a state space metric. The metric is applied to develop a numerical simulation algorithm that converges uniformly, with a known rate of convergence, to orbitally stable executions of controlled hybrid systems, up to and including Zeno events. Benchmark hybrid phenomena illustrate the utility of the proposed tools.
Cite
@article{arxiv.1302.4402,
title = {Metrization and Simulation of Controlled Hybrid Systems},
author = {Samuel Burden and Humberto Gonzalez and Ramanarayan Vasudevan and Ruzena Bajcsy and S. Shankar Sastry},
journal= {arXiv preprint arXiv:1302.4402},
year = {2015}
}