Title
Analysis and design of oscillatory control systems
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.
Year
DOI
Venue
2003
10.1109/TAC.2003.814104
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Control systems,Fluid flow control,Frequency,Trajectory,Differential equations,Nonlinear control systems,Chemical analysis,Control system analysis,Signal analysis,Control design
Mathematical optimization,Nonlinear system,Controllability,Control theory,Series expansion,Control engineering,Control system,Underactuation,Amplitude,Trajectory,Mathematics
Journal
Volume
Issue
ISSN
48
7
0018-9286
Citations 
PageRank 
References 
13
1.60
9
Authors
3
Name
Order
Citations
PageRank
Sonia Mart1485.50
Jorge Cortes21452128.75
Francesco Bullo34989415.53