Analysis and design of oscillatory control systems

Sonia Martínez, Jorge Cortés and Francesco Bullo
IEEE Transactions on Automatic Control, 48 (7) (2003), 1164-1177

Abstract:

This paper presents analysis and design results for control systems subject to oscillatory inputs, i.e., inputs of large amplitude and high frequency. The key analysis results are a series expansion characterizing the averaged system and various Lie-algebraic conditions that guarantee the series can be summed. Various example systems provide insight into the results. With regards to design, we recover and extend a variety of point stabilization and trajectory tracking results using oscillatory controls. We present novel developments on stabilization of systems with positive trace and on tracking for second order underactuated systems.

File: main.pdf

Bib-tex entry:

@article{SM-JC-FB:03,
author = {S. Mart{\'\i}nez and J. Cort\'es and F. Bullo},
title = {Analysis and design of oscillatory control systems},
journal= {IEEE Transactions on Automatic Control},
volume = 48,
number = 7,
year = 2003,
pages = {1164--1177}
}