Invertibility and Input -to -State Stability of Switched Systems and Applications in Adaptive Control

As control applications of switched systems, we apply our stability, results for switched systems to the problem of adaptively controlling uncertain nonlinear plants and linear time-varying plants. For uncertain nonlinear plants with hounded noise and disturbances, we show that using supervisory control, all the closed-loop signals can be kept bounded for arbitrary initial conditions when the controllers provide the ISS property with respect to the estimation errors. We also show that supervisory control is capable of stabilizing uncertain linear plants with large parameter variation in the presence of unmodeled dynamics and hounded noise and disturbances, provided that the unmodeled dynamics are small enough and the parameters vary slowly enough as described by switching profiles.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical and Computer Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Vu, Linh Hoang

Contributors dc:contributor

• Daniel Liberzon

• Engineering, Electronics and Electrical

Language dc:language

eng

Identifier

(MiAaPQ)AAI3301242

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/81070