Title
Parameter Sensitivity and Boundedness of Robotic Hybrid Periodic Orbits
Abstract
Model-based nonlinear controllers like feedback linearization and control Lyapunov functions are highly sensitive to the model parameters of the robot. This paper addresses the problem of realizing these controllers in a particular class of hybrid models-systems with impulse effects-through a parameter sensitivity measure. This measure quantifies the sensitivity of a given model-based controller to parameter uncertainty along a particular trajectory By using this measure, output boundedness of the controller (computed torque+PD) will be analyzed. Given outputs that characterize the control objectives, i.e., the goal is to drive these outputs to zero, we consider Lyapunov functions obtained from these outputs. The main result of this paper establishes the ultimate boundedness of the output dynamics in terms of this measure via these Lyapunov functions under the assumption of stable hybrid zero dynamics. This is demonstrated in simulation on a 5-DOF underactuated bipedal robot.
Year
DOI
Venue
2015
10.1016/j.ifacol.2015.11.203
IFAC-PapersOnLine
Keywords
Field
DocType
Hybrid Zero Dynamics,Parameter Sensitivity Measure,System Identification
Lyapunov function,Control theory,Nonlinear system,Torque,Control theory,Feedback linearization,Underactuation,System identification,Trajectory,Mathematics
Conference
Volume
Issue
ISSN
48
27
2405-8963
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Shishir Kolathaya1677.40
Aaron D. Ames21202136.68